ecp.py (38675B)
1 """Framework classes for generation of ecp test cases.""" 2 # Copyright The Mbed TLS Contributors 3 # SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later 4 # 5 6 from typing import List 7 8 from . import test_data_generation 9 from . import bignum_common 10 11 12 class EcpTarget(test_data_generation.BaseTarget): 13 #pylint: disable=abstract-method, too-few-public-methods 14 """Target for ecp test case generation.""" 15 target_basename = 'test_suite_ecp.generated' 16 17 18 class EcpP192R1Raw(bignum_common.ModOperationCommon, 19 EcpTarget): 20 """Test cases for ECP P192 fast reduction.""" 21 symbol = "-" 22 test_function = "ecp_mod_p_generic_raw" 23 test_name = "ecp_mod_p192_raw" 24 input_style = "fixed" 25 arity = 1 26 dependencies = ["MBEDTLS_ECP_DP_SECP192R1_ENABLED", 27 "MBEDTLS_ECP_NIST_OPTIM"] 28 29 moduli = ["fffffffffffffffffffffffffffffffeffffffffffffffff"] # type: List[str] 30 31 input_values = [ 32 "0", "1", 33 34 # Modulus - 1 35 "fffffffffffffffffffffffffffffffefffffffffffffffe", 36 37 # Modulus + 1 38 "ffffffffffffffffffffffffffffffff0000000000000000", 39 40 # 2^192 - 1 41 "ffffffffffffffffffffffffffffffffffffffffffffffff", 42 43 # Maximum canonical P192 multiplication result 44 ("fffffffffffffffffffffffffffffffdfffffffffffffffc" + 45 "000000000000000100000000000000040000000000000004"), 46 47 # Generate an overflow during reduction 48 ("00000000000000000000000000000001ffffffffffffffff" + 49 "ffffffffffffffffffffffffffffffff0000000000000000"), 50 51 # Generate an overflow during carry reduction 52 ("ffffffffffffffff00000000000000010000000000000000" + 53 "fffffffffffffffeffffffffffffffff0000000000000000"), 54 55 # First 8 number generated by random.getrandbits(384) - seed(2,2) 56 ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" + 57 "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 58 ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" + 59 "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"), 60 ("ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" + 61 "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), 62 ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" + 63 "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"), 64 ("2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" + 65 "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 66 ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" + 67 "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"), 68 ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" + 69 "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), 70 ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" + 71 "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), 72 73 # Next 2 number generated by random.getrandbits(192) 74 "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2", 75 "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" 76 ] 77 78 @property 79 def arg_a(self) -> str: 80 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 81 82 def result(self) -> List[str]: 83 result = self.int_a % self.int_n 84 return [self.format_result(result)] 85 86 @property 87 def is_valid(self) -> bool: 88 return True 89 90 def arguments(self)-> List[str]: 91 args = super().arguments() 92 return ["MBEDTLS_ECP_DP_SECP192R1"] + args 93 94 95 class EcpP224R1Raw(bignum_common.ModOperationCommon, 96 EcpTarget): 97 """Test cases for ECP P224 fast reduction.""" 98 symbol = "-" 99 test_function = "ecp_mod_p_generic_raw" 100 test_name = "ecp_mod_p224_raw" 101 input_style = "arch_split" 102 arity = 1 103 dependencies = ["MBEDTLS_ECP_DP_SECP224R1_ENABLED", 104 "MBEDTLS_ECP_NIST_OPTIM"] 105 106 moduli = ["ffffffffffffffffffffffffffffffff000000000000000000000001"] # type: List[str] 107 108 input_values = [ 109 "0", "1", 110 111 # Modulus - 1 112 "ffffffffffffffffffffffffffffffff000000000000000000000000", 113 114 # Modulus + 1 115 "ffffffffffffffffffffffffffffffff000000000000000000000002", 116 117 # 2^224 - 1 118 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 119 120 # Maximum canonical P224 multiplication result 121 ("fffffffffffffffffffffffffffffffe000000000000000000000000" + 122 "00000001000000000000000000000000000000000000000000000000"), 123 124 # Generate an overflow during reduction 125 ("00000000000000000000000000010000000070000000002000001000" + 126 "ffffffffffff9fffffffffe00000efff000070000000002000001003"), 127 128 # Generate an underflow during reduction 129 ("00000001000000000000000000000000000000000000000000000000" + 130 "00000000000dc0000000000000000001000000010000000100000003"), 131 132 # First 8 number generated by random.getrandbits(448) - seed(2,2) 133 ("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337" + 134 "15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 135 ("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675" + 136 "94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"), 137 ("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12" + 138 "8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"), 139 ("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6" + 140 "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"), 141 ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" + 142 "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), 143 ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" + 144 "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), 145 ("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" + 146 "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), 147 ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" + 148 "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"), 149 150 # Next 2 number generated by random.getrandbits(224) 151 "eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a", 152 "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3" 153 ] 154 155 @property 156 def arg_a(self) -> str: 157 limbs = 2 * bignum_common.bits_to_limbs(224, self.bits_in_limb) 158 hex_digits = bignum_common.hex_digits_for_limb(limbs, self.bits_in_limb) 159 return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits) 160 161 def result(self) -> List[str]: 162 result = self.int_a % self.int_n 163 return [self.format_result(result)] 164 165 @property 166 def is_valid(self) -> bool: 167 return True 168 169 def arguments(self)-> List[str]: 170 args = super().arguments() 171 return ["MBEDTLS_ECP_DP_SECP224R1"] + args 172 173 174 class EcpP256R1Raw(bignum_common.ModOperationCommon, 175 EcpTarget): 176 """Test cases for ECP P256 fast reduction.""" 177 symbol = "-" 178 test_function = "ecp_mod_p_generic_raw" 179 test_name = "ecp_mod_p256_raw" 180 input_style = "fixed" 181 arity = 1 182 dependencies = ["MBEDTLS_ECP_DP_SECP256R1_ENABLED", 183 "MBEDTLS_ECP_NIST_OPTIM"] 184 185 moduli = ["ffffffff00000001000000000000000000000000ffffffffffffffffffffffff"] # type: List[str] 186 187 input_values = [ 188 "0", "1", 189 190 # Modulus - 1 191 "ffffffff00000001000000000000000000000000fffffffffffffffffffffffe", 192 193 # Modulus + 1 194 "ffffffff00000001000000000000000000000001000000000000000000000000", 195 196 # 2^256 - 1 197 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 198 199 # Maximum canonical P256 multiplication result 200 ("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc" + 201 "00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"), 202 203 # Generate an overflow during reduction 204 ("0000000000000000000000010000000000000000000000000000000000000000" + 205 "00000000000000000000000000000000000000000000000000000000ffffffff"), 206 207 # Generate an underflow during reduction 208 ("0000000000000000000000000000000000000000000000000000000000000010" + 209 "ffffffff00000000000000000000000000000000000000000000000000000000"), 210 211 # Generate an overflow during carry reduction 212 ("aaaaaaaa00000000000000000000000000000000000000000000000000000000" + 213 "00000000000000000000000000000000aaaaaaacaaaaaaaaaaaaaaaa00000000"), 214 215 # Generate an underflow during carry reduction 216 ("000000000000000000000001ffffffff00000000000000000000000000000000" + 217 "0000000000000000000000000000000000000002000000020000000100000002"), 218 219 # First 8 number generated by random.getrandbits(512) - seed(2,2) 220 ("4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" + 221 "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 222 ("82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93" + 223 "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"), 224 ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626" + 225 "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"), 226 ("829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578" + 227 "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 228 ("e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2" + 229 "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"), 230 ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0" + 231 "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"), 232 ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9" + 233 "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), 234 ("d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25" + 235 "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), 236 237 # Next 2 number generated by random.getrandbits(256) 238 "c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062", 239 "d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9" 240 ] 241 242 @property 243 def arg_a(self) -> str: 244 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 245 246 def result(self) -> List[str]: 247 result = self.int_a % self.int_n 248 return [self.format_result(result)] 249 250 @property 251 def is_valid(self) -> bool: 252 return True 253 254 def arguments(self)-> List[str]: 255 args = super().arguments() 256 return ["MBEDTLS_ECP_DP_SECP256R1"] + args 257 258 259 class EcpP384R1Raw(bignum_common.ModOperationCommon, 260 EcpTarget): 261 """Test cases for ECP P384 fast reduction.""" 262 test_function = "ecp_mod_p_generic_raw" 263 test_name = "ecp_mod_p384_raw" 264 input_style = "fixed" 265 arity = 1 266 dependencies = ["MBEDTLS_ECP_DP_SECP384R1_ENABLED", 267 "MBEDTLS_ECP_NIST_OPTIM"] 268 269 moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffff" + 270 "fffffffffffffffeffffffff0000000000000000ffffffff") 271 ] # type: List[str] 272 273 input_values = [ 274 "0", "1", 275 276 # Modulus - 1 277 ("ffffffffffffffffffffffffffffffffffffffffffffffff" + 278 "fffffffffffffffeffffffff0000000000000000fffffffe"), 279 280 # Modulus + 1 281 ("ffffffffffffffffffffffffffffffffffffffffffffffff" + 282 "fffffffffffffffeffffffff000000000000000100000000"), 283 284 # 2^384 - 1 285 ("ffffffffffffffffffffffffffffffffffffffffffffffff" + 286 "ffffffffffffffffffffffffffffffffffffffffffffffff"), 287 288 # Maximum canonical P384 multiplication result 289 ("ffffffffffffffffffffffffffffffffffffffffffffffff" + 290 "fffffffffffffffdfffffffe0000000000000001fffffffc" + 291 "000000000000000000000000000000010000000200000000" + 292 "fffffffe000000020000000400000000fffffffc00000004"), 293 294 # Testing with overflow in A(12) + A(21) + A(20); 295 ("497811378624857a2c2af60d70583376545484cfae5c812f" + 296 "e2999fc1abb51d18b559e8ca3b50aaf263fdf8f24bdfb98f" + 297 "ffffffff20e65bf9099e4e73a5e8b517cf4fbeb8fd1750fd" + 298 "ae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"), 299 300 # Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20); 301 ("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a09" + 302 "2852a6fbe517f2712b68abef41dbd35183a0614fb7222606" + 303 "ffffffff84396eee542f18a9189d94396c784059c17a9f18" + 304 "f807214ef32f2f10ffffffff8a77fac20000000000000000"), 305 306 # Testing with overflow in A(23) + A(20) + A(19) - A(22); 307 ("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd185" + 308 "42b24a71ee8b26cab0aa33513610ff973042bbe1637cc9fc" + 309 "99ad36c7f703514572cf4f5c3044469a8f5be6312c19e5d3" + 310 "f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"), 311 312 # Testing with underflow in A(23) + A(20) + A(19) - A(22); 313 ("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6" + 314 "251c9c69f278cbf8285d99ae3b53da5ba36e56701e2b17c2" + 315 "25f1239556c5f00117fa140218b46ebd8e34f50d0018701f" + 316 "a8a0a5cc00000000000000004410bcb4ffffffff00000000"), 317 318 # Testing the second round of carry reduction 319 ("000000000000000000000000ffffffffffffffffffffffff" + 320 "ffffffffffffffffffffffffffffffff0000000000000000" + 321 "0000000000000000ffffffff000000000000000000000001" + 322 "00000000000000000000000000000000ffffffff00000001"), 323 324 # First 8 number generated by random.getrandbits(768) - seed(2,2) 325 ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" + 326 "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f" + 327 "cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" + 328 "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 329 ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" + 330 "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2" + 331 "ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" + 332 "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), 333 ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" + 334 "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135" + 335 "2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" + 336 "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 337 ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" + 338 "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b" + 339 "97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" + 340 "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), 341 ("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4" + 342 "e73695c3e652c71a74667bffe202849da9643a295a9ac6de" + 343 "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" + 344 "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), 345 ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f8777" + 346 "7ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6" + 347 "e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460" + 348 "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"), 349 ("0227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3" + 350 "e1cf4f589f8e4ce0af29d115ef24bd625dd961e6830b54fa" + 351 "7d28f93435339774bb1e386c4fd5079e681b8f5896838b76" + 352 "9da59b74a6c3181c81e220df848b1df78feb994a81167346"), 353 ("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5f" + 354 "c11e60de1b343f52ea748db9e020307aaeb6db2c3a038a70" + 355 "9779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a8" + 356 "1b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"), 357 358 # Next 2 number generated by random.getrandbits(384) 359 ("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332" + 360 "e5e138e26c4454b90f756132e16dce72f18e859835e1f291"), 361 ("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0" + 362 "1d7f4275153924800600571fac3a5b263fdf57cd2c006497") 363 ] 364 365 @property 366 def arg_a(self) -> str: 367 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 368 369 def result(self) -> List[str]: 370 result = self.int_a % self.int_n 371 return [self.format_result(result)] 372 373 @property 374 def is_valid(self) -> bool: 375 return True 376 377 def arguments(self)-> List[str]: 378 args = super().arguments() 379 return ["MBEDTLS_ECP_DP_SECP384R1"] + args 380 381 382 class EcpP521R1Raw(bignum_common.ModOperationCommon, 383 EcpTarget): 384 """Test cases for ECP P521 fast reduction.""" 385 test_function = "ecp_mod_p_generic_raw" 386 test_name = "ecp_mod_p521_raw" 387 input_style = "arch_split" 388 arity = 1 389 dependencies = ["MBEDTLS_ECP_DP_SECP521R1_ENABLED", 390 "MBEDTLS_ECP_NIST_OPTIM"] 391 392 moduli = [("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 393 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff") 394 ] # type: List[str] 395 396 input_values = [ 397 "0", "1", 398 399 # Modulus - 1 400 ("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 401 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"), 402 403 # Modulus + 1 404 ("020000000000000000000000000000000000000000000000000000000000000000" + 405 "000000000000000000000000000000000000000000000000000000000000000000"), 406 407 # Maximum canonical P521 multiplication result 408 ("0003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 409 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 410 "fffff800" + 411 "0000000000000000000000000000000000000000000000000000000000000000" + 412 "0000000000000000000000000000000000000000000000000000000000000004"), 413 414 # Test case for overflow during addition 415 ("0001efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 416 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 417 "000001ef" + 418 "0000000000000000000000000000000000000000000000000000000000000000" + 419 "000000000000000000000000000000000000000000000000000000000f000000"), 420 421 # First 8 number generated by random.getrandbits(1042) - seed(2,2) 422 ("0003cc2e82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f" + 423 "6e405d93ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd" + 424 "9b1f282e" + 425 "4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" + 426 "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 427 ("00017052829e07b0829a48d422fe99a22c70501e533c91352d3d854e061b9030" + 428 "3b08c6e33c7295782d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c5055" + 429 "6c71c4a6" + 430 "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a" + 431 "09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57eb"), 432 ("00021f15a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" + 433 "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b97eeab64" + 434 "ca2ce6bc" + 435 "5d3fd983c34c769fe89204e2e8168561867e5e15bc01bfce6a27e0dfcbf87544" + 436 "72154e76e4c11ab2fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1"), 437 ("000381bc2a838af8d5c44a4eb3172062d08f1bb2531d6460f0caeef038c89b38" + 438 "a8acb5137c9260dc74e088a9b9492f258ebdbfe3eb9ac688b9d39cca91551e82" + 439 "59cc60b1" + 440 "7604e4b4e73695c3e652c71a74667bffe202849da9643a295a9ac6decbd4d3e2" + 441 "d4dec9ef83f0be4e80371eb97f81375eecc1cb6347733e847d718d733ff98ff3"), 442 ("00034816c8c69069134bccd3e1cf4f589f8e4ce0af29d115ef24bd625dd961e6" + 443 "830b54fa7d28f93435339774bb1e386c4fd5079e681b8f5896838b769da59b74" + 444 "a6c3181c" + 445 "81e220df848b1df78feb994a81167346d4c0dca8b4c9e755cc9c3adcf515a823" + 446 "4da4daeb4f3f87777ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6"), 447 ("000397846c4454b90f756132e16dce72f18e859835e1f291d322a7353ead4efe" + 448 "440e2b4fda9c025a22f1a83185b98f5fc11e60de1b343f52ea748db9e020307a" + 449 "aeb6db2c" + 450 "3a038a709779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a81b2d19a2" + 451 "beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd0227eeb7b9d7d01f5769da05"), 452 ("00002c3296e6bc4d62b47204007ee4fab105d83e85e951862f0981aebc1b00d9" + 453 "2838e766ef9b6bf2d037fe2e20b6a8464174e75a5f834da70569c018eb2b5693" + 454 "babb7fbb" + 455 "0a76c196067cfdcb11457d9cf45e2fa01d7f4275153924800600571fac3a5b26" + 456 "3fdf57cd2c0064975c3747465cc36c270e8a35b10828d569c268a20eb78ac332"), 457 ("00009d23b4917fc09f20dbb0dcc93f0e66dfe717c17313394391b6e2e6eacb0f" + 458 "0bb7be72bd6d25009aeb7fa0c4169b148d2f527e72daf0a54ef25c0707e33868" + 459 "7d1f7157" + 460 "5653a45c49390aa51cf5192bbf67da14be11d56ba0b4a2969d8055a9f03f2d71" + 461 "581d8e830112ff0f0948eccaf8877acf26c377c13f719726fd70bddacb4deeec"), 462 463 # Next 2 number generated by random.getrandbits(521) 464 ("12b84ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da1a1fe" + 465 "3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccdf572df00790813e3"), 466 ("166049dd332a73fa0b26b75196cf87eb8a09b27ec714307c68c425424a1574f1" + 467 "eedf5b0f16cdfdb839424d201e653f53d6883ca1c107ca6e706649889c0c7f38608") 468 ] 469 470 @property 471 def arg_a(self) -> str: 472 # Number of limbs: 2 * N 473 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 474 475 def result(self) -> List[str]: 476 result = self.int_a % self.int_n 477 return [self.format_result(result)] 478 479 @property 480 def is_valid(self) -> bool: 481 return True 482 483 def arguments(self)-> List[str]: 484 args = super().arguments() 485 return ["MBEDTLS_ECP_DP_SECP521R1"] + args 486 487 488 class EcpP192K1Raw(bignum_common.ModOperationCommon, 489 EcpTarget): 490 """Test cases for ECP P192K1 fast reduction.""" 491 symbol = "-" 492 test_function = "ecp_mod_p_generic_raw" 493 test_name = "ecp_mod_p192k1_raw" 494 input_style = "fixed" 495 arity = 1 496 dependencies = ["MBEDTLS_ECP_DP_SECP192K1_ENABLED"] 497 498 moduli = ["fffffffffffffffffffffffffffffffffffffffeffffee37"] # type: List[str] 499 500 input_values = [ 501 "0", "1", 502 503 # Modulus - 1 504 "fffffffffffffffffffffffffffffffffffffffeffffee36", 505 506 # Modulus + 1 507 "fffffffffffffffffffffffffffffffffffffffeffffee38", 508 509 # 2^192 - 1 510 "ffffffffffffffffffffffffffffffffffffffffffffffff", 511 512 # Maximum canonical P192K1 multiplication result 513 ("fffffffffffffffffffffffffffffffffffffffdffffdc6c" + 514 "0000000000000000000000000000000100002394013c7364"), 515 516 # Test case for overflow during addition 517 ("00000007ffff71b809e27dd832cfd5e04d9d2dbb9f8da217" + 518 "0000000000000000000000000000000000000000520834f0"), 519 520 # First 8 number generated by random.getrandbits(384) - seed(2,2) 521 ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" + 522 "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 523 ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" + 524 "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"), 525 ("ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" + 526 "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), 527 ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" + 528 "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"), 529 ("2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" + 530 "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 531 ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" + 532 "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"), 533 ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" + 534 "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), 535 ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" + 536 "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), 537 538 # Next 2 number generated by random.getrandbits(192) 539 "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2", 540 "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" 541 ] 542 543 @property 544 def arg_a(self) -> str: 545 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 546 547 def result(self) -> List[str]: 548 result = self.int_a % self.int_n 549 return [self.format_result(result)] 550 551 @property 552 def is_valid(self) -> bool: 553 return True 554 555 def arguments(self): 556 args = super().arguments() 557 return ["MBEDTLS_ECP_DP_SECP192K1"] + args 558 559 560 class EcpP224K1Raw(bignum_common.ModOperationCommon, 561 EcpTarget): 562 """Test cases for ECP P224 fast reduction.""" 563 symbol = "-" 564 test_function = "ecp_mod_p_generic_raw" 565 test_name = "ecp_mod_p224k1_raw" 566 input_style = "arch_split" 567 arity = 1 568 dependencies = ["MBEDTLS_ECP_DP_SECP224K1_ENABLED"] 569 570 moduli = ["fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d"] # type: List[str] 571 572 input_values = [ 573 "0", "1", 574 575 # Modulus - 1 576 "fffffffffffffffffffffffffffffffffffffffffffffffeffffe56c", 577 578 # Modulus + 1 579 "fffffffffffffffffffffffffffffffffffffffffffffffeffffe56e", 580 581 # 2^224 - 1 582 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 583 584 # Maximum canonical P224K1 multiplication result 585 ("fffffffffffffffffffffffffffffffffffffffffffffffdffffcad8" + 586 "00000000000000000000000000000000000000010000352802c26590"), 587 588 # Test case for overflow during addition 589 ("0000007ffff2b68161180fd8cd92e1a109be158a19a99b1809db8032" + 590 "0000000000000000000000000000000000000000000000000bf04f49"), 591 592 # First 8 number generated by random.getrandbits(448) - seed(2,2) 593 ("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337" + 594 "15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 595 ("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675" + 596 "94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"), 597 ("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12" + 598 "8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"), 599 ("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6" + 600 "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"), 601 ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" + 602 "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), 603 ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" + 604 "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), 605 ("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" + 606 "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), 607 ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" + 608 "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"), 609 610 # Next 2 number generated by random.getrandbits(224) 611 ("eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), 612 ("f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3"), 613 ] 614 615 @property 616 def arg_a(self) -> str: 617 limbs = 2 * bignum_common.bits_to_limbs(224, self.bits_in_limb) 618 hex_digits = bignum_common.hex_digits_for_limb(limbs, self.bits_in_limb) 619 return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits) 620 621 def result(self) -> List[str]: 622 result = self.int_a % self.int_n 623 return [self.format_result(result)] 624 625 @property 626 def is_valid(self) -> bool: 627 return True 628 629 def arguments(self): 630 args = super().arguments() 631 return ["MBEDTLS_ECP_DP_SECP224K1"] + args 632 633 634 class EcpP256K1Raw(bignum_common.ModOperationCommon, 635 EcpTarget): 636 """Test cases for ECP P256 fast reduction.""" 637 symbol = "-" 638 test_function = "ecp_mod_p_generic_raw" 639 test_name = "ecp_mod_p256k1_raw" 640 input_style = "fixed" 641 arity = 1 642 dependencies = ["MBEDTLS_ECP_DP_SECP256K1_ENABLED"] 643 644 moduli = ["fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"] # type: List[str] 645 646 input_values = [ 647 "0", "1", 648 649 # Modulus - 1 650 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", 651 652 # Modulus + 1 653 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", 654 655 # 2^256 - 1 656 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 657 658 # Maximum canonical P256K1 multiplication result 659 ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffdfffff85c" + 660 "000000000000000000000000000000000000000000000001000007a4000e9844"), 661 662 # Test case for overflow during addition 663 ("0000fffffc2f000e90a0c86a0a63234e5ba641f43a7e4aecc4040e67ec850562" + 664 "00000000000000000000000000000000000000000000000000000000585674fd"), 665 666 # Test case for overflow during addition 667 ("0000fffffc2f000e90a0c86a0a63234e5ba641f43a7e4aecc4040e67ec850562" + 668 "00000000000000000000000000000000000000000000000000000000585674fd"), 669 670 # First 8 number generated by random.getrandbits(512) - seed(2,2) 671 ("4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" + 672 "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 673 ("82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93" + 674 "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"), 675 ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626" + 676 "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"), 677 ("829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578" + 678 "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 679 ("e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2" + 680 "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"), 681 ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0" + 682 "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"), 683 ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9" + 684 "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), 685 ("d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25" + 686 "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), 687 688 # Next 2 number generated by random.getrandbits(256) 689 ("c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"), 690 ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"), 691 ] 692 693 @property 694 def arg_a(self) -> str: 695 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 696 697 def result(self) -> List[str]: 698 result = self.int_a % self.int_n 699 return [self.format_result(result)] 700 701 @property 702 def is_valid(self) -> bool: 703 return True 704 705 def arguments(self): 706 args = super().arguments() 707 return ["MBEDTLS_ECP_DP_SECP256K1"] + args 708 709 710 class EcpP255Raw(bignum_common.ModOperationCommon, 711 EcpTarget): 712 """Test cases for ECP 25519 fast reduction.""" 713 symbol = "-" 714 test_function = "ecp_mod_p_generic_raw" 715 test_name = "mbedtls_ecp_mod_p255_raw" 716 input_style = "fixed" 717 arity = 1 718 dependencies = ["MBEDTLS_ECP_DP_CURVE25519_ENABLED"] 719 720 moduli = [("7fffffffffffffffffffffffffffffffffffffffffffffffff" + 721 "ffffffffffffed")] # type: List[str] 722 723 input_values = [ 724 "0", "1", 725 726 # Modulus - 1 727 ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec"), 728 729 # Modulus + 1 730 ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffee"), 731 732 # 2^255 - 1 733 ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"), 734 735 # Maximum canonical P255 multiplication result 736 ("3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec" + 737 "0000000000000000000000000000000000000000000000000000000000000190"), 738 739 # First 8 number generated by random.getrandbits(510) - seed(2,2) 740 ("1019f0d64ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" + 741 "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), 742 ("20948fa1feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93" + 743 "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"), 744 ("3a1893ea5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626" + 745 "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"), 746 ("20a6923522fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578" + 747 "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), 748 ("3a248138e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2" + 749 "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"), 750 ("2f450feab714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0" + 751 "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"), 752 ("1d199effe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9" + 753 "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), 754 ("3423c6ec531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25" + 755 "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), 756 757 # Next 2 number generated by random.getrandbits(255) 758 ("62f1243644a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"), 759 ("6a606e54b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"), 760 ] 761 762 @property 763 def arg_a(self) -> str: 764 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 765 766 def result(self) -> List[str]: 767 result = self.int_a % self.int_n 768 return [self.format_result(result)] 769 770 @property 771 def is_valid(self) -> bool: 772 return True 773 774 def arguments(self)-> List[str]: 775 args = super().arguments() 776 return ["MBEDTLS_ECP_DP_CURVE25519"] + args 777 778 779 class EcpP448Raw(bignum_common.ModOperationCommon, 780 EcpTarget): 781 """Test cases for ECP P448 fast reduction.""" 782 symbol = "-" 783 test_function = "ecp_mod_p_generic_raw" 784 test_name = "ecp_mod_p448_raw" 785 input_style = "fixed" 786 arity = 1 787 dependencies = ["MBEDTLS_ECP_DP_CURVE448_ENABLED"] 788 789 moduli = [("fffffffffffffffffffffffffffffffffffffffffffffffffffffffe" + 790 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff")] # type: List[str] 791 792 input_values = [ 793 "0", "1", 794 795 # Modulus - 1 796 ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffe" + 797 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffe"), 798 799 # Modulus + 1 800 ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 801 "00000000000000000000000000000000000000000000000000000000"), 802 803 # 2^448 - 1 804 ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + 805 "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"), 806 807 # Maximum canonical P448 multiplication result 808 ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffd" + 809 "fffffffffffffffffffffffffffffffffffffffffffffffffffffffd" + 810 "00000000000000000000000000000000000000000000000000000004" + 811 "00000000000000000000000000000000000000000000000000000004"), 812 813 # First 8 number generated by random.getrandbits(896) - seed(2,2) 814 ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" + 815 "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473" + 816 "a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" + 817 "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), 818 ("4da4daeb4f3f87777ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48" + 819 "e86ec9c6e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460" + 820 "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3" + 821 "eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), 822 ("bc1b00d92838e766ef9b6bf2d037fe2e20b6a8464174e75a5f834da7" + 823 "0569c018eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0" + 824 "1d7f4275153924800600571fac3a5b263fdf57cd2c0064975c374746" + 825 "5cc36c270e8a35b10828d569c268a20eb78ac332e5e138e26c4454b9"), 826 ("8d2f527e72daf0a54ef25c0707e338687d1f71575653a45c49390aa5" + 827 "1cf5192bbf67da14be11d56ba0b4a2969d8055a9f03f2d71581d8e83" + 828 "0112ff0f0948eccaf8877acf26c377c13f719726fd70bddacb4deeec" + 829 "0b0c995e96e6bc4d62b47204007ee4fab105d83e85e951862f0981ae"), 830 ("84ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da" + 831 "1a1fe3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccd" + 832 "f572df00790813e32748dd1db4917fc09f20dbb0dcc93f0e66dfe717" + 833 "c17313394391b6e2e6eacb0f0bb7be72bd6d25009aeb7fa0c4169b14"), 834 ("2bb3b36f29421c4021b7379f0897246a40c270b00e893302aba9e7b8" + 835 "23fc5ad2f58105748ed5d1b7b310b730049dd332a73fa0b26b75196c" + 836 "f87eb8a09b27ec714307c68c425424a1574f1eedf5b0f16cdfdb8394" + 837 "24d201e653f53d6883ca1c107ca6e706649889c0c7f3860895bfa813"), 838 ("af3f5d7841b1256d5c1dc12fb5a1ae519fb8883accda6559caa538a0" + 839 "9fc9370d3a6b86a7975b54a31497024640332b0612d4050771d7b14e" + 840 "b6c004cc3b8367dc3f2bb31efe9934ad0809eae3ef232a32b5459d83" + 841 "fbc46f1aea990e94821d46063b4dbf2ca294523d74115c86188b1044"), 842 ("7430051376e31f5aab63ad02854efa600641b4fa37a47ce41aeffafc" + 843 "3b45402ac02659fe2e87d4150511baeb198ababb1a16daff3da95cd2" + 844 "167b75dfb948f82a8317cba01c75f67e290535d868a24b7f627f2855" + 845 "09167d4126af8090013c3273c02c6b9586b4625b475b51096c4ad652"), 846 847 # Corner case which causes maximum overflow 848 ("f4ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da1" + 849 "a1fe3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccd0B" + 850 "519A16DF59C53E0D49B209200F878F362ACE518D5B8BFCF9CDC725E5E" + 851 "01C06295E8605AF06932B5006D9E556D3F190E8136BF9C643D332"), 852 853 # Next 2 number generated by random.getrandbits(448) 854 ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" + 855 "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), 856 ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" + 857 "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), 858 859 ] 860 861 @property 862 def arg_a(self) -> str: 863 return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) 864 865 def result(self) -> List[str]: 866 result = self.int_a % self.int_n 867 return [self.format_result(result)] 868 869 @property 870 def is_valid(self) -> bool: 871 return True 872 873 def arguments(self): 874 args = super().arguments() 875 return ["MBEDTLS_ECP_DP_CURVE448"] + args