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authorTom Rini <trini@konsulko.com>2024-10-08 13:56:50 -0600
committerTom Rini <trini@konsulko.com>2024-10-08 13:56:50 -0600
commit0344c602eadc0802776b65ff90f0a02c856cf53c (patch)
tree236a705740939b84ff37d68ae650061dd14c3449 /scripts/mbedtls_dev/ecp.py
Squashed 'lib/mbedtls/external/mbedtls/' content from commit 2ca6c285a0dd
git-subtree-dir: lib/mbedtls/external/mbedtls git-subtree-split: 2ca6c285a0dd3f33982dd57299012dacab1ff206
Diffstat (limited to 'scripts/mbedtls_dev/ecp.py')
-rw-r--r--scripts/mbedtls_dev/ecp.py875
1 files changed, 875 insertions, 0 deletions
diff --git a/scripts/mbedtls_dev/ecp.py b/scripts/mbedtls_dev/ecp.py
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+++ b/scripts/mbedtls_dev/ecp.py
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+"""Framework classes for generation of ecp test cases."""
+# Copyright The Mbed TLS Contributors
+# SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
+#
+
+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",
+ "MBEDTLS_ECP_NIST_OPTIM"]
+
+ 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)-> List[str]:
+ 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",
+ "MBEDTLS_ECP_NIST_OPTIM"]
+
+ 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:
+ limbs = 2 * bignum_common.bits_to_limbs(224, self.bits_in_limb)
+ hex_digits = bignum_common.hex_digits_for_limb(limbs, 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)-> List[str]:
+ 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",
+ "MBEDTLS_ECP_NIST_OPTIM"]
+
+ 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)-> List[str]:
+ 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",
+ "MBEDTLS_ECP_NIST_OPTIM"]
+
+ 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)-> List[str]:
+ 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",
+ "MBEDTLS_ECP_NIST_OPTIM"]
+
+ 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)-> List[str]:
+ 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 = "arch_split"
+ 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:
+ limbs = 2 * bignum_common.bits_to_limbs(224, self.bits_in_limb)
+ hex_digits = bignum_common.hex_digits_for_limb(limbs, 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 EcpP255Raw(bignum_common.ModOperationCommon,
+ EcpTarget):
+ """Test cases for ECP 25519 fast reduction."""
+ symbol = "-"
+ test_function = "ecp_mod_p_generic_raw"
+ test_name = "mbedtls_ecp_mod_p255_raw"
+ input_style = "fixed"
+ arity = 1
+ dependencies = ["MBEDTLS_ECP_DP_CURVE25519_ENABLED"]
+
+ moduli = [("7fffffffffffffffffffffffffffffffffffffffffffffffff"
+ "ffffffffffffed")] # type: List[str]
+
+ input_values = [
+ "0", "1",
+
+ # Modulus - 1
+ ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec"),
+
+ # Modulus + 1
+ ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffee"),
+
+ # 2^255 - 1
+ ("7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"),
+
+ # Maximum canonical P255 multiplication result
+ ("3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec"
+ "0000000000000000000000000000000000000000000000000000000000000190"),
+
+ # First 8 number generated by random.getrandbits(510) - seed(2,2)
+ ("1019f0d64ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124"
+ "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
+ ("20948fa1feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"
+ "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"),
+ ("3a1893ea5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626"
+ "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"),
+ ("20a6923522fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"
+ "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
+ ("3a248138e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"
+ "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"),
+ ("2f450feab714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0"
+ "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"),
+ ("1d199effe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9"
+ "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
+ ("3423c6ec531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"
+ "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"),
+
+ # Next 2 number generated by random.getrandbits(255)
+ ("62f1243644a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"),
+ ("6a606e54b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"),
+ ]
+
+ @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)-> List[str]:
+ args = super().arguments()
+ return ["MBEDTLS_ECP_DP_CURVE25519"] + args
+
+
+class EcpP448Raw(bignum_common.ModOperationCommon,
+ EcpTarget):
+ """Test cases for ECP P448 fast reduction."""
+ symbol = "-"
+ test_function = "ecp_mod_p_generic_raw"
+ test_name = "ecp_mod_p448_raw"
+ 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"),
+
+ # Corner case which causes maximum overflow
+ ("f4ae65e920a63ac1f2b64df6dff07870c9d531ae72a47403063238da1"
+ "a1fe3f9d6a179fa50f96cd4aff9261aa92c0e6f17ec940639bc2ccd0B"
+ "519A16DF59C53E0D49B209200F878F362ACE518D5B8BFCF9CDC725E5E"
+ "01C06295E8605AF06932B5006D9E556D3F190E8136BF9C643D332"),
+
+ # 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
+
+ def arguments(self):
+ args = super().arguments()
+ return ["MBEDTLS_ECP_DP_CURVE448"] + args