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			405 lines
		
	
	
		
			18 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
			
		
		
	
	
			405 lines
		
	
	
		
			18 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
"""Framework classes for generation of ecp test cases."""
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# Copyright The Mbed TLS Contributors
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# SPDX-License-Identifier: Apache-2.0
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#
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# Licensed under the Apache License, Version 2.0 (the "License"); you may
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# not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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# WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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from typing import List
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from . import test_data_generation
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from . import bignum_common
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class EcpTarget(test_data_generation.BaseTarget):
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    #pylint: disable=abstract-method, too-few-public-methods
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    """Target for ecp test case generation."""
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    target_basename = 'test_suite_ecp.generated'
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class EcpP192R1Raw(bignum_common.ModOperationCommon,
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                   EcpTarget):
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    """Test cases for ecp quasi_reduction()."""
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    symbol = "-"
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    test_function = "ecp_mod_p192_raw"
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    test_name = "ecp_mod_p192_raw"
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    input_style = "fixed"
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    arity = 1
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    moduli = ["fffffffffffffffffffffffffffffffeffffffffffffffff"] # type: List[str]
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    input_values = [
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        "0", "1",
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        # Modulus - 1
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        "fffffffffffffffffffffffffffffffefffffffffffffffe",
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        # First 8 number generated by random.getrandbits(384) - seed(2,2)
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        ("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
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         "177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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        ("ffed9235288bc781ae66267594c9c9500925e4749b575bd1"
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         "3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"),
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        ("ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7"
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         "dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
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        ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"
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         "defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"),
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        ("2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78"
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         "2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
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        ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1"
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         "5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"),
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        ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561"
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         "867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
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        ("bd143fa9b714210c665d7435c1066932f4767f26294365b2"
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         "721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"),
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        # Next 2 number generated by random.getrandbits(192)
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        "47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2",
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        "cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63"
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    ]
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    @property
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    def arg_a(self) -> str:
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        return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits)
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    def result(self) -> List[str]:
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        result = self.int_a % self.int_n
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        return [self.format_result(result)]
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    @property
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    def is_valid(self) -> bool:
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        return True
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class EcpP224R1Raw(bignum_common.ModOperationCommon,
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                   EcpTarget):
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    """Test cases for ecp quasi_reduction()."""
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    symbol = "-"
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    test_function = "ecp_mod_p224_raw"
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    test_name = "ecp_mod_p224_raw"
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    input_style = "arch_split"
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    arity = 1
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    moduli = ["ffffffffffffffffffffffffffffffff000000000000000000000001"] # type: List[str]
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    input_values = [
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        "0", "1",
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        # Modulus - 1
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        "ffffffffffffffffffffffffffffffff000000000000000000000000",
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        # Maximum canonical P224 multiplication result
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        ("fffffffffffffffffffffffffffffffe000000000000000000000000"
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         "00000001000000000000000000000000000000000000000000000000"),
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        # Generate an overflow during reduction
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        ("00000000000000000000000000010000000070000000002000001000"
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         "ffffffffffff9fffffffffe00000efff000070000000002000001003"),
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        # Generate an underflow during reduction
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        ("00000001000000000000000000000000000000000000000000000000"
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         "00000000000dc0000000000000000001000000010000000100000003"),
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        # First 8 number generated by random.getrandbits(448) - seed(2,2)
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        ("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337"
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         "15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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        ("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675"
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         "94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"),
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        ("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12"
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         "8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"),
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        ("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6"
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         "6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"),
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        ("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4"
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         "22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"),
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        ("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15"
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         "bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"),
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        ("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26"
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         "294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"),
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        ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e"
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         "80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"),
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        # Next 2 number generated by random.getrandbits(224)
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        "eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a",
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        "f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3"
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    ]
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    @property
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    def arg_a(self) -> str:
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        hex_digits = bignum_common.hex_digits_for_limb(448 // self.bits_in_limb, self.bits_in_limb)
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        return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits)
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    def result(self) -> List[str]:
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        result = self.int_a % self.int_n
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        return [self.format_result(result)]
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    @property
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    def is_valid(self) -> bool:
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        return True
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class EcpP384R1Raw(bignum_common.ModOperationCommon,
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                   EcpTarget):
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    """Test cases for ecp quasi_reduction modulo p384."""
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    test_function = "ecp_mod_p384_raw"
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    test_name = "ecp_mod_p384_raw"
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    input_style = "fixed"
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    arity = 1
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    moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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               "fffffeffffffff0000000000000000ffffffff")
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             ] # type: List[str]
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    input_values = [
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        "0", "1",
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        # Modulus - 1
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        ("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef"
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         "fffffff0000000000000000fffffffe"),
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        # Maximum canonical P384 multiplication result
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        ("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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         "fdfffffffe0000000000000001fffffffc0000000000000000000000000000000"
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         "10000000200000000fffffffe000000020000000400000000fffffffc00000004"),
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        # Testing with overflow in A(12) + A(21) + A(20);
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        ("497811378624857a2c2af60d70583376545484cfae5c812fe2999fc1abb51d18b"
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         "559e8ca3b50aaf263fdf8f24bdfb98fffffffff20e65bf9099e4e73a5e8b517cf"
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         "4fbeb8fd1750fdae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"),
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        # Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20);
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        ("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a092852a6fbe517f2712"
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         "b68abef41dbd35183a0614fb7222606ffffffff84396eee542f18a9189d94396c"
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         "784059c17a9f18f807214ef32f2f10ffffffff8a77fac20000000000000000"),
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        # Testing with overflow in A(23) + A(20) + A(19) - A(22);
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        ("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd18542b24a71ee8b26ca"
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         "b0aa33513610ff973042bbe1637cc9fc99ad36c7f703514572cf4f5c3044469a"
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         "8f5be6312c19e5d3f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"),
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        # Testing with underflow in A(23) + A(20) + A(19) - A(22);
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        ("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6251c9c69f278cbf8"
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         "285d99ae3b53da5ba36e56701e2b17c225f1239556c5f00117fa140218b46ebd8"
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         "e34f50d0018701fa8a0a5cc00000000000000004410bcb4ffffffff00000000"),
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        # Testing the second round of carry reduction
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        ("000000000000000000000000ffffffffffffffffffffffffffffffffffffffff"
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         "ffffffffffffffff00000000000000000000000000000000ffffffff00000000"
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         "000000000000000100000000000000000000000000000000ffffffff00000001"),
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        # First 8 number generated by random.getrandbits(768) - seed(2,2)
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        ("ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"
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         "4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124"
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         "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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        ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626"
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         "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"
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         "82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
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        ("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"
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         "829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"
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         "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
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        ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0"
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         "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"
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         "e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
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        ("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"
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         "74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9"
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         "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
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        ("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"
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         "c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"
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         "d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"),
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        ("227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3e1cf4f589f8e4ce0a"
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         "f29d115ef24bd625dd961e6830b54fa7d28f93435339774bb1e386c4fd5079e6"
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         "81b8f5896838b769da59b74a6c3181c81e220df848b1df78feb994a81167346"),
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        ("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5fc11e60de1b343f52"
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         "ea748db9e020307aaeb6db2c3a038a709779ac1f45e9dd320c855fdfa7251af0"
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         "930cdbd30f0ad2a81b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"),
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        # Next 2 number generated by random.getrandbits(384)
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        ("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332e5e138e26c4454b9"
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         "0f756132e16dce72f18e859835e1f291"),
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        ("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa01d7f427515392480"
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         "0600571fac3a5b263fdf57cd2c006497")
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    ]
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    @property
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    def arg_a(self) -> str:
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        return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits)
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    def result(self) -> List[str]:
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        result = self.int_a % self.int_n
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        return [self.format_result(result)]
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    @property
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    def is_valid(self) -> bool:
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        return True
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class EcpP256R1Raw(bignum_common.ModOperationCommon,
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                   EcpTarget):
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    """Test cases for ECP P256 fast reduction."""
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    symbol = "-"
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    test_function = "ecp_mod_p256_raw"
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    test_name = "ecp_mod_p256_raw"
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    input_style = "fixed"
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    arity = 1
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    moduli = ["ffffffff00000001000000000000000000000000ffffffffffffffffffffffff"] # type: List[str]
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    input_values = [
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        "0", "1",
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        # Modulus - 1
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        "ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
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        # Maximum canonical P256 multiplication result
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        ("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc"
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         "00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"),
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        # Generate an overflow during reduction
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        ("0000000000000000000000010000000000000000000000000000000000000000"
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         "00000000000000000000000000000000000000000000000000000000ffffffff"),
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        # Generate an underflow during reduction
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        ("0000000000000000000000000000000000000000000000000000000000000010"
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         "ffffffff00000000000000000000000000000000000000000000000000000000"),
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        # Generate an overflow during carry reduction
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        ("aaaaaaaa00000000000000000000000000000000000000000000000000000000"
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         "00000000000000000000000000000000aaaaaaacaaaaaaaaaaaaaaaa00000000"),
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        # Generate an underflow during carry reduction
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        ("000000000000000000000001ffffffff00000000000000000000000000000000"
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         "0000000000000000000000000000000000000002000000020000000100000002"),
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        # First 8 number generated by random.getrandbits(512) - seed(2,2)
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        ("4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124"
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         "5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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        ("82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"
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         "ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"),
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        ("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626"
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         "e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"),
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        ("829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"
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         "2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
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        ("e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"
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         "fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"),
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        ("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0"
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         "dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"),
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        ("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9"
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         "7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
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        ("d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"
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         "8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"),
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        # Next 2 number generated by random.getrandbits(256)
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						|
        "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
 | 
						|
 | 
						|
 | 
						|
class EcpP521R1Raw(bignum_common.ModOperationCommon,
 | 
						|
                   EcpTarget):
 | 
						|
    """Test cases for ecp quasi_reduction()."""
 | 
						|
    test_function = "ecp_mod_p521_raw"
 | 
						|
    test_name = "ecp_mod_p521_raw"
 | 
						|
    input_style = "arch_split"
 | 
						|
    arity = 1
 | 
						|
 | 
						|
    moduli = [("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
 | 
						|
               "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff")
 | 
						|
             ] # type: List[str]
 | 
						|
 | 
						|
    input_values = [
 | 
						|
        "0", "1",
 | 
						|
 | 
						|
        # Corner case: 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
 |