|  | """Framework classes for generation of ecp test cases.""" | 
|  | # Copyright The Mbed TLS Contributors | 
|  | # SPDX-License-Identifier: Apache-2.0 | 
|  | # | 
|  | # Licensed under the Apache License, Version 2.0 (the "License"); you may | 
|  | # not use this file except in compliance with the License. | 
|  | # You may obtain a copy of the License at | 
|  | # | 
|  | # http://www.apache.org/licenses/LICENSE-2.0 | 
|  | # | 
|  | # Unless required by applicable law or agreed to in writing, software | 
|  | # distributed under the License is distributed on an "AS IS" BASIS, WITHOUT | 
|  | # WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | 
|  | # See the License for the specific language governing permissions and | 
|  | # limitations under the License. | 
|  |  | 
|  | from typing import List | 
|  |  | 
|  | from . import test_data_generation | 
|  | from . import bignum_common | 
|  |  | 
|  |  | 
|  | class EcpTarget(test_data_generation.BaseTarget): | 
|  | #pylint: disable=abstract-method, too-few-public-methods | 
|  | """Target for ecp test case generation.""" | 
|  | target_basename = 'test_suite_ecp.generated' | 
|  |  | 
|  |  | 
|  | class EcpP192R1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P192 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p192_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP192R1_ENABLED"] | 
|  |  | 
|  | moduli = ["fffffffffffffffffffffffffffffffeffffffffffffffff"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "fffffffffffffffffffffffffffffffefffffffffffffffe", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "ffffffffffffffffffffffffffffffff0000000000000000", | 
|  |  | 
|  | # 2^192 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P192 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffdfffffffffffffffc" | 
|  | "000000000000000100000000000000040000000000000004"), | 
|  |  | 
|  | # Generate an overflow during reduction | 
|  | ("00000000000000000000000000000001ffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffff0000000000000000"), | 
|  |  | 
|  | # Generate an overflow during carry reduction | 
|  | ("ffffffffffffffff00000000000000010000000000000000" | 
|  | "fffffffffffffffeffffffffffffffff0000000000000000"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(384) - seed(2,2) | 
|  | ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" | 
|  | "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" | 
|  | "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"), | 
|  | ("ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" | 
|  | "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), | 
|  | ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" | 
|  | "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"), | 
|  | ("2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" | 
|  | "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), | 
|  | ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" | 
|  | "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"), | 
|  | ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" | 
|  | "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), | 
|  | ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" | 
|  | "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(192) | 
|  | "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2", | 
|  | "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP192R1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP224R1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P224 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p224_raw" | 
|  | input_style = "arch_split" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP224R1_ENABLED"] | 
|  |  | 
|  | moduli = ["ffffffffffffffffffffffffffffffff000000000000000000000001"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "ffffffffffffffffffffffffffffffff000000000000000000000000", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "ffffffffffffffffffffffffffffffff000000000000000000000002", | 
|  |  | 
|  | # 2^224 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P224 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffe000000000000000000000000" | 
|  | "00000001000000000000000000000000000000000000000000000000"), | 
|  |  | 
|  | # Generate an overflow during reduction | 
|  | ("00000000000000000000000000010000000070000000002000001000" | 
|  | "ffffffffffff9fffffffffe00000efff000070000000002000001003"), | 
|  |  | 
|  | # Generate an underflow during reduction | 
|  | ("00000001000000000000000000000000000000000000000000000000" | 
|  | "00000000000dc0000000000000000001000000010000000100000003"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(448) - seed(2,2) | 
|  | ("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337" | 
|  | "15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675" | 
|  | "94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"), | 
|  | ("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12" | 
|  | "8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"), | 
|  | ("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6" | 
|  | "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"), | 
|  | ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" | 
|  | "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), | 
|  | ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" | 
|  | "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), | 
|  | ("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" | 
|  | "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), | 
|  | ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" | 
|  | "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(224) | 
|  | "eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a", | 
|  | "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3" | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | hex_digits = bignum_common.hex_digits_for_limb(448 // self.bits_in_limb, self.bits_in_limb) | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP224R1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP256R1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P256 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p256_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP256R1_ENABLED"] | 
|  |  | 
|  | moduli = ["ffffffff00000001000000000000000000000000ffffffffffffffffffffffff"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "ffffffff00000001000000000000000000000000fffffffffffffffffffffffe", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "ffffffff00000001000000000000000000000001000000000000000000000000", | 
|  |  | 
|  | # 2^256 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P256 multiplication result | 
|  | ("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc" | 
|  | "00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"), | 
|  |  | 
|  | # Generate an overflow during reduction | 
|  | ("0000000000000000000000010000000000000000000000000000000000000000" | 
|  | "00000000000000000000000000000000000000000000000000000000ffffffff"), | 
|  |  | 
|  | # Generate an underflow during reduction | 
|  | ("0000000000000000000000000000000000000000000000000000000000000010" | 
|  | "ffffffff00000000000000000000000000000000000000000000000000000000"), | 
|  |  | 
|  | # Generate an overflow during carry reduction | 
|  | ("aaaaaaaa00000000000000000000000000000000000000000000000000000000" | 
|  | "00000000000000000000000000000000aaaaaaacaaaaaaaaaaaaaaaa00000000"), | 
|  |  | 
|  | # Generate an underflow during carry reduction | 
|  | ("000000000000000000000001ffffffff00000000000000000000000000000000" | 
|  | "0000000000000000000000000000000000000002000000020000000100000002"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(512) - seed(2,2) | 
|  | ("4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" | 
|  | "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93" | 
|  | "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"), | 
|  | ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626" | 
|  | "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"), | 
|  | ("829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578" | 
|  | "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), | 
|  | ("e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2" | 
|  | "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"), | 
|  | ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0" | 
|  | "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"), | 
|  | ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9" | 
|  | "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), | 
|  | ("d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25" | 
|  | "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(256) | 
|  | "c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062", | 
|  | "d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9" | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP256R1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP384R1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P384 fast reduction.""" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p384_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP384R1_ENABLED"] | 
|  |  | 
|  | moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffffffffffffffeffffffff0000000000000000ffffffff") | 
|  | ] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffffffffffffffeffffffff0000000000000000fffffffe"), | 
|  |  | 
|  | # Modulus + 1 | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffffffffffffffeffffffff000000000000000100000000"), | 
|  |  | 
|  | # 2^384 - 1 | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffff"), | 
|  |  | 
|  | # Maximum canonical P384 multiplication result | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffffffffffffffdfffffffe0000000000000001fffffffc" | 
|  | "000000000000000000000000000000010000000200000000" | 
|  | "fffffffe000000020000000400000000fffffffc00000004"), | 
|  |  | 
|  | # Testing with overflow in A(12) + A(21) + A(20); | 
|  | ("497811378624857a2c2af60d70583376545484cfae5c812f" | 
|  | "e2999fc1abb51d18b559e8ca3b50aaf263fdf8f24bdfb98f" | 
|  | "ffffffff20e65bf9099e4e73a5e8b517cf4fbeb8fd1750fd" | 
|  | "ae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"), | 
|  |  | 
|  | # Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20); | 
|  | ("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a09" | 
|  | "2852a6fbe517f2712b68abef41dbd35183a0614fb7222606" | 
|  | "ffffffff84396eee542f18a9189d94396c784059c17a9f18" | 
|  | "f807214ef32f2f10ffffffff8a77fac20000000000000000"), | 
|  |  | 
|  | # Testing with overflow in A(23) + A(20) + A(19) - A(22); | 
|  | ("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd185" | 
|  | "42b24a71ee8b26cab0aa33513610ff973042bbe1637cc9fc" | 
|  | "99ad36c7f703514572cf4f5c3044469a8f5be6312c19e5d3" | 
|  | "f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"), | 
|  |  | 
|  | # Testing with underflow in A(23) + A(20) + A(19) - A(22); | 
|  | ("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6" | 
|  | "251c9c69f278cbf8285d99ae3b53da5ba36e56701e2b17c2" | 
|  | "25f1239556c5f00117fa140218b46ebd8e34f50d0018701f" | 
|  | "a8a0a5cc00000000000000004410bcb4ffffffff00000000"), | 
|  |  | 
|  | # Testing the second round of carry reduction | 
|  | ("000000000000000000000000ffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffff0000000000000000" | 
|  | "0000000000000000ffffffff000000000000000000000001" | 
|  | "00000000000000000000000000000000ffffffff00000001"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(768) - seed(2,2) | 
|  | ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" | 
|  | "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f" | 
|  | "cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" | 
|  | "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" | 
|  | "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2" | 
|  | "ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" | 
|  | "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), | 
|  | ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" | 
|  | "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135" | 
|  | "2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" | 
|  | "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), | 
|  | ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" | 
|  | "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b" | 
|  | "97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" | 
|  | "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), | 
|  | ("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4" | 
|  | "e73695c3e652c71a74667bffe202849da9643a295a9ac6de" | 
|  | "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" | 
|  | "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), | 
|  | ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f8777" | 
|  | "7ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6" | 
|  | "e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460" | 
|  | "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"), | 
|  | ("0227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3" | 
|  | "e1cf4f589f8e4ce0af29d115ef24bd625dd961e6830b54fa" | 
|  | "7d28f93435339774bb1e386c4fd5079e681b8f5896838b76" | 
|  | "9da59b74a6c3181c81e220df848b1df78feb994a81167346"), | 
|  | ("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5f" | 
|  | "c11e60de1b343f52ea748db9e020307aaeb6db2c3a038a70" | 
|  | "9779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a8" | 
|  | "1b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(384) | 
|  | ("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332" | 
|  | "e5e138e26c4454b90f756132e16dce72f18e859835e1f291"), | 
|  | ("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0" | 
|  | "1d7f4275153924800600571fac3a5b263fdf57cd2c006497") | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP384R1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP521R1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P521 fast reduction.""" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p521_raw" | 
|  | input_style = "arch_split" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP521R1_ENABLED"] | 
|  |  | 
|  | moduli = [("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff") | 
|  | ] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | ("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"), | 
|  |  | 
|  | # Modulus + 1 | 
|  | ("020000000000000000000000000000000000000000000000000000000000000000" | 
|  | "000000000000000000000000000000000000000000000000000000000000000000"), | 
|  |  | 
|  | # Maximum canonical P521 multiplication result | 
|  | ("0003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "fffff800" | 
|  | "0000000000000000000000000000000000000000000000000000000000000000" | 
|  | "0000000000000000000000000000000000000000000000000000000000000004"), | 
|  |  | 
|  | # Test case for overflow during addition | 
|  | ("0001efffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "000001ef" | 
|  | "0000000000000000000000000000000000000000000000000000000000000000" | 
|  | "000000000000000000000000000000000000000000000000000000000f000000"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(1042) - seed(2,2) | 
|  | ("0003cc2e82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f" | 
|  | "6e405d93ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd" | 
|  | "9b1f282e" | 
|  | "4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" | 
|  | "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("00017052829e07b0829a48d422fe99a22c70501e533c91352d3d854e061b9030" | 
|  | "3b08c6e33c7295782d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c5055" | 
|  | "6c71c4a6" | 
|  | "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a" | 
|  | "09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57eb"), | 
|  | ("00021f15a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" | 
|  | "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b97eeab64" | 
|  | "ca2ce6bc" | 
|  | "5d3fd983c34c769fe89204e2e8168561867e5e15bc01bfce6a27e0dfcbf87544" | 
|  | "72154e76e4c11ab2fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1"), | 
|  | ("000381bc2a838af8d5c44a4eb3172062d08f1bb2531d6460f0caeef038c89b38" | 
|  | "a8acb5137c9260dc74e088a9b9492f258ebdbfe3eb9ac688b9d39cca91551e82" | 
|  | "59cc60b1" | 
|  | "7604e4b4e73695c3e652c71a74667bffe202849da9643a295a9ac6decbd4d3e2" | 
|  | "d4dec9ef83f0be4e80371eb97f81375eecc1cb6347733e847d718d733ff98ff3"), | 
|  | ("00034816c8c69069134bccd3e1cf4f589f8e4ce0af29d115ef24bd625dd961e6" | 
|  | "830b54fa7d28f93435339774bb1e386c4fd5079e681b8f5896838b769da59b74" | 
|  | "a6c3181c" | 
|  | "81e220df848b1df78feb994a81167346d4c0dca8b4c9e755cc9c3adcf515a823" | 
|  | "4da4daeb4f3f87777ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6"), | 
|  | ("000397846c4454b90f756132e16dce72f18e859835e1f291d322a7353ead4efe" | 
|  | "440e2b4fda9c025a22f1a83185b98f5fc11e60de1b343f52ea748db9e020307a" | 
|  | "aeb6db2c" | 
|  | "3a038a709779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a81b2d19a2" | 
|  | "beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd0227eeb7b9d7d01f5769da05"), | 
|  | ("00002c3296e6bc4d62b47204007ee4fab105d83e85e951862f0981aebc1b00d9" | 
|  | "2838e766ef9b6bf2d037fe2e20b6a8464174e75a5f834da70569c018eb2b5693" | 
|  | "babb7fbb" | 
|  | "0a76c196067cfdcb11457d9cf45e2fa01d7f4275153924800600571fac3a5b26" | 
|  | "3fdf57cd2c0064975c3747465cc36c270e8a35b10828d569c268a20eb78ac332"), | 
|  | ("00009d23b4917fc09f20dbb0dcc93f0e66dfe717c17313394391b6e2e6eacb0f" | 
|  | "0bb7be72bd6d25009aeb7fa0c4169b148d2f527e72daf0a54ef25c0707e33868" | 
|  | "7d1f7157" | 
|  | "5653a45c49390aa51cf5192bbf67da14be11d56ba0b4a2969d8055a9f03f2d71" | 
|  | "581d8e830112ff0f0948eccaf8877acf26c377c13f719726fd70bddacb4deeec"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(521) | 
|  | ("12b84ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da1a1fe" | 
|  | "3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccdf572df00790813e3"), | 
|  | ("166049dd332a73fa0b26b75196cf87eb8a09b27ec714307c68c425424a1574f1" | 
|  | "eedf5b0f16cdfdb839424d201e653f53d6883ca1c107ca6e706649889c0c7f38608") | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | # Number of limbs: 2 * N | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP521R1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP192K1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P192K1 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p192k1_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP192K1_ENABLED"] | 
|  |  | 
|  | moduli = ["fffffffffffffffffffffffffffffffffffffffeffffee37"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffeffffee36", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffeffffee38", | 
|  |  | 
|  | # 2^192 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P192K1 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffffffffffdffffdc6c" | 
|  | "0000000000000000000000000000000100002394013c7364"), | 
|  |  | 
|  | # Test case for overflow during addition | 
|  | ("00000007ffff71b809e27dd832cfd5e04d9d2dbb9f8da217" | 
|  | "0000000000000000000000000000000000000000520834f0"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(384) - seed(2,2) | 
|  | ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd" | 
|  | "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1" | 
|  | "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"), | 
|  | ("ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7" | 
|  | "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"), | 
|  | ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045" | 
|  | "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"), | 
|  | ("2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78" | 
|  | "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), | 
|  | ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1" | 
|  | "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"), | 
|  | ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561" | 
|  | "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"), | 
|  | ("bd143fa9b714210c665d7435c1066932f4767f26294365b2" | 
|  | "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(192) | 
|  | "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2", | 
|  | "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63" | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP192K1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP224K1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P224 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p224k1_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP224K1_ENABLED"] | 
|  |  | 
|  | moduli = ["fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffeffffe56c", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffeffffe56e", | 
|  |  | 
|  | # 2^224 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P224K1 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffffffffffffffffffdffffcad8" | 
|  | "00000000000000000000000000000000000000010000352802c26590"), | 
|  |  | 
|  | # Test case for overflow during addition | 
|  | ("0000007ffff2b68161180fd8cd92e1a109be158a19a99b1809db8032" | 
|  | "0000000000000000000000000000000000000000000000000bf04f49"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(448) - seed(2,2) | 
|  | ("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337" | 
|  | "15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675" | 
|  | "94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"), | 
|  | ("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12" | 
|  | "8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"), | 
|  | ("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6" | 
|  | "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"), | 
|  | ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" | 
|  | "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), | 
|  | ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" | 
|  | "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), | 
|  | ("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" | 
|  | "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), | 
|  | ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" | 
|  | "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(224) | 
|  | ("eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), | 
|  | ("f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3"), | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | hex_digits = bignum_common.hex_digits_for_limb(448 // self.bits_in_limb, self.bits_in_limb) | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP224K1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP256K1Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P256 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p_generic_raw" | 
|  | test_name = "ecp_mod_p256k1_raw" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_SECP256K1_ENABLED"] | 
|  |  | 
|  | moduli = ["fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", | 
|  |  | 
|  | # Modulus + 1 | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", | 
|  |  | 
|  | # 2^256 - 1 | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", | 
|  |  | 
|  | # Maximum canonical P256K1 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffdfffff85c" | 
|  | "000000000000000000000000000000000000000000000001000007a4000e9844"), | 
|  |  | 
|  | # Test case for overflow during addition | 
|  | ("0000fffffc2f000e90a0c86a0a63234e5ba641f43a7e4aecc4040e67ec850562" | 
|  | "00000000000000000000000000000000000000000000000000000000585674fd"), | 
|  |  | 
|  | # Test case for overflow during addition | 
|  | ("0000fffffc2f000e90a0c86a0a63234e5ba641f43a7e4aecc4040e67ec850562" | 
|  | "00000000000000000000000000000000000000000000000000000000585674fd"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(512) - seed(2,2) | 
|  | ("4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124" | 
|  | "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"), | 
|  | ("82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93" | 
|  | "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"), | 
|  | ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626" | 
|  | "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"), | 
|  | ("829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578" | 
|  | "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"), | 
|  | ("e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2" | 
|  | "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"), | 
|  | ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0" | 
|  | "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"), | 
|  | ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9" | 
|  | "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"), | 
|  | ("d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25" | 
|  | "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(256) | 
|  | ("c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"), | 
|  | ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"), | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True | 
|  |  | 
|  | def arguments(self): | 
|  | args = super().arguments() | 
|  | return  ["MBEDTLS_ECP_DP_SECP256K1"] + args | 
|  |  | 
|  |  | 
|  | class EcpP448Raw(bignum_common.ModOperationCommon, | 
|  | EcpTarget): | 
|  | """Test cases for ECP P448 fast reduction.""" | 
|  | symbol = "-" | 
|  | test_function = "ecp_mod_p448" | 
|  | test_name = "ecp_mod_p448" | 
|  | input_style = "fixed" | 
|  | arity = 1 | 
|  | dependencies = ["MBEDTLS_ECP_DP_CURVE448_ENABLED"] | 
|  |  | 
|  | moduli = [("fffffffffffffffffffffffffffffffffffffffffffffffffffffffe" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff")] # type: List[str] | 
|  |  | 
|  | input_values = [ | 
|  | "0", "1", | 
|  |  | 
|  | # Modulus - 1 | 
|  | ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffe" | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffe"), | 
|  |  | 
|  | # Modulus + 1 | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "00000000000000000000000000000000000000000000000000000000"), | 
|  |  | 
|  | # 2^448 - 1 | 
|  | ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffff" | 
|  | "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff"), | 
|  |  | 
|  | # Maximum canonical P448 multiplication result | 
|  | ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffd" | 
|  | "fffffffffffffffffffffffffffffffffffffffffffffffffffffffd" | 
|  | "00000000000000000000000000000000000000000000000000000004" | 
|  | "00000000000000000000000000000000000000000000000000000004"), | 
|  |  | 
|  | # First 8 number generated by random.getrandbits(896) - seed(2,2) | 
|  | ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e" | 
|  | "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473" | 
|  | "a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26" | 
|  | "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"), | 
|  | ("4da4daeb4f3f87777ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48" | 
|  | "e86ec9c6e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460" | 
|  | "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3" | 
|  | "eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"), | 
|  | ("bc1b00d92838e766ef9b6bf2d037fe2e20b6a8464174e75a5f834da7" | 
|  | "0569c018eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0" | 
|  | "1d7f4275153924800600571fac3a5b263fdf57cd2c0064975c374746" | 
|  | "5cc36c270e8a35b10828d569c268a20eb78ac332e5e138e26c4454b9"), | 
|  | ("8d2f527e72daf0a54ef25c0707e338687d1f71575653a45c49390aa5" | 
|  | "1cf5192bbf67da14be11d56ba0b4a2969d8055a9f03f2d71581d8e83" | 
|  | "0112ff0f0948eccaf8877acf26c377c13f719726fd70bddacb4deeec" | 
|  | "0b0c995e96e6bc4d62b47204007ee4fab105d83e85e951862f0981ae"), | 
|  | ("84ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da" | 
|  | "1a1fe3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccd" | 
|  | "f572df00790813e32748dd1db4917fc09f20dbb0dcc93f0e66dfe717" | 
|  | "c17313394391b6e2e6eacb0f0bb7be72bd6d25009aeb7fa0c4169b14"), | 
|  | ("2bb3b36f29421c4021b7379f0897246a40c270b00e893302aba9e7b8" | 
|  | "23fc5ad2f58105748ed5d1b7b310b730049dd332a73fa0b26b75196c" | 
|  | "f87eb8a09b27ec714307c68c425424a1574f1eedf5b0f16cdfdb8394" | 
|  | "24d201e653f53d6883ca1c107ca6e706649889c0c7f3860895bfa813"), | 
|  | ("af3f5d7841b1256d5c1dc12fb5a1ae519fb8883accda6559caa538a0" | 
|  | "9fc9370d3a6b86a7975b54a31497024640332b0612d4050771d7b14e" | 
|  | "b6c004cc3b8367dc3f2bb31efe9934ad0809eae3ef232a32b5459d83" | 
|  | "fbc46f1aea990e94821d46063b4dbf2ca294523d74115c86188b1044"), | 
|  | ("7430051376e31f5aab63ad02854efa600641b4fa37a47ce41aeffafc" | 
|  | "3b45402ac02659fe2e87d4150511baeb198ababb1a16daff3da95cd2" | 
|  | "167b75dfb948f82a8317cba01c75f67e290535d868a24b7f627f2855" | 
|  | "09167d4126af8090013c3273c02c6b9586b4625b475b51096c4ad652"), | 
|  |  | 
|  | # Next 2 number generated by random.getrandbits(448) | 
|  | ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4" | 
|  | "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"), | 
|  | ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15" | 
|  | "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"), | 
|  |  | 
|  | ] | 
|  |  | 
|  | @property | 
|  | def arg_a(self) -> str: | 
|  | return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits) | 
|  |  | 
|  | def result(self) -> List[str]: | 
|  | result = self.int_a % self.int_n | 
|  | return [self.format_result(result)] | 
|  |  | 
|  | @property | 
|  | def is_valid(self) -> bool: | 
|  | return True |