mbedtls/scripts/mbedtls_dev/ecp.py
Paul Elliott b7fd1d6044 Correct max canonical multiplication result
Signed-off-by: Paul Elliott <paul.elliott@arm.com>
2023-05-03 14:16:48 +01:00

774 lines
33 KiB
Python

"""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_p192k1"
test_name = "ecp_mod_p192k1"
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"),
# 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
class EcpP224K1Raw(bignum_common.ModOperationCommon,
EcpTarget):
"""Test cases for ECP P224 fast reduction."""
symbol = "-"
test_function = "ecp_mod_p224k1"
test_name = "ecp_mod_p224k1"
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 P224 multiplication result
("fffffffffffffffffffffffffffffffffffffffffffffffdffffcad8"
"00000000000000000000000000000000000000010000352802c26590"),
# 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
class EcpP256K1Raw(bignum_common.ModOperationCommon,
EcpTarget):
"""Test cases for ECP P256 fast reduction."""
symbol = "-"
test_function = "ecp_mod_p256k1"
test_name = "ecp_mod_p256k1"
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 P256 multiplication result
("fffffffffffffffffffffffffffffffffffffffffffffffffffffffdfffff85c0"
"00000000000000000000000000000000000000000000001000007a4000e9844"),
# 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:
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
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:
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