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mbedtls/scripts/mbedtls_dev/bignum_core.py
Agathiyan Bragadeesh ab329c0dfc Rename ADD_SUB_DEFAULT to ADD_SUB_DATA 
Signed-off-by: Agathiyan Bragadeesh <agathiyan.bragadeesh2@arm.com>
2023-08-01 17:18:31 +01:00

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"""Framework classes for generation of bignum core 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.
import random
from typing import Dict, Iterator, List, Tuple
from . import test_case
from . import test_data_generation
from . import bignum_common
from .bignum_data import ADD_SUB_DATA
class BignumCoreTarget(test_data_generation.BaseTarget):
#pylint: disable=abstract-method, too-few-public-methods
"""Target for bignum core test case generation."""
target_basename = 'test_suite_bignum_core.generated'
class BignumCoreShiftR(BignumCoreTarget, test_data_generation.BaseTest):
"""Test cases for mbedtls_bignum_core_shift_r()."""
count = 0
test_function = "mpi_core_shift_r"
test_name = "Core shift right"
DATA = [
('00', '0', [0, 1, 8]),
('01', '1', [0, 1, 2, 8, 64]),
('dee5ca1a7ef10a75', '64-bit',
list(range(11)) + [31, 32, 33, 63, 64, 65, 71, 72]),
('002e7ab0070ad57001', '[leading 0 limb]',
[0, 1, 8, 63, 64]),
('a1055eb0bb1efa1150ff', '80-bit',
[0, 1, 8, 63, 64, 65, 72, 79, 80, 81, 88, 128, 129, 136]),
('020100000000000000001011121314151617', '138-bit',
[0, 1, 8, 9, 16, 72, 73, 136, 137, 138, 144]),
]
def __init__(self, input_hex: str, descr: str, count: int) -> None:
self.input_hex = input_hex
self.number_description = descr
self.shift_count = count
self.result = bignum_common.hex_to_int(input_hex) >> count
def arguments(self) -> List[str]:
return ['"{}"'.format(self.input_hex),
str(self.shift_count),
'"{:0{}x}"'.format(self.result, len(self.input_hex))]
def description(self) -> str:
return 'Core shift {} >> {}'.format(self.number_description,
self.shift_count)
@classmethod
def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
for input_hex, descr, counts in cls.DATA:
for count in counts:
yield cls(input_hex, descr, count).create_test_case()
class BignumCoreShiftL(BignumCoreTarget, bignum_common.ModOperationCommon):
"""Test cases for mbedtls_bignum_core_shift_l()."""
BIT_SHIFT_VALUES = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a',
'1f', '20', '21', '3f', '40', '41', '47', '48', '4f',
'50', '51', '58', '80', '81', '88']
DATA = ["0", "1", "40", "dee5ca1a7ef10a75", "a1055eb0bb1efa1150ff",
"002e7ab0070ad57001", "020100000000000000001011121314151617",
"1946e2958a85d8863ae21f4904fcc49478412534ed53eaf321f63f2a222"
"7a3c63acbf50b6305595f90cfa8327f6db80d986fe96080bcbb5df1bdbe"
"9b74fb8dedf2bddb3f8215b54dffd66409323bcc473e45a8fe9d08e77a51"
"1698b5dad0416305db7fcf"]
arity = 1
test_function = "mpi_core_shift_l"
test_name = "Core shift(L)"
input_style = "arch_split"
symbol = "<<"
input_values = BIT_SHIFT_VALUES
moduli = DATA
@property
def val_n_max_limbs(self) -> int:
""" Return the limb count required to store the maximum number that can
fit in a the number of digits used by val_n """
m = bignum_common.hex_digits_max_int(self.val_n, self.bits_in_limb) - 1
return bignum_common.limbs_mpi(m, self.bits_in_limb)
def arguments(self) -> List[str]:
return [bignum_common.quote_str(self.val_n),
str(self.int_a)
] + self.result()
def description(self) -> str:
""" Format the output as:
#{count} {hex input} ({input bits} {limbs capacity}) << {bit shift} """
bits = "({} bits in {} limbs)".format(self.int_n.bit_length(), self.val_n_max_limbs)
return "{} #{} {} {} {} {}".format(self.test_name,
self.count,
self.val_n,
bits,
self.symbol,
self.int_a)
def format_result(self, res: int) -> str:
# Override to match zero-pading for leading digits between the output and input.
res_str = bignum_common.zfill_match(self.val_n, "{:x}".format(res))
return bignum_common.quote_str(res_str)
def result(self) -> List[str]:
result = (self.int_n << self.int_a)
# Calculate if there is space for shifting to the left(leading zero limbs)
mx = bignum_common.hex_digits_max_int(self.val_n, self.bits_in_limb)
# If there are empty limbs ahead, adjust the bitmask accordingly
result = result & (mx - 1)
return [self.format_result(result)]
@property
def is_valid(self) -> bool:
return True
class BignumCoreCTLookup(BignumCoreTarget, test_data_generation.BaseTest):
"""Test cases for mbedtls_mpi_core_ct_uint_table_lookup()."""
test_function = "mpi_core_ct_uint_table_lookup"
test_name = "Constant time MPI table lookup"
bitsizes = [
(32, "One limb"),
(192, "Smallest curve sized"),
(512, "Largest curve sized"),
(2048, "Small FF/RSA sized"),
(4096, "Large FF/RSA sized"),
]
window_sizes = [0, 1, 2, 3, 4, 5, 6]
def __init__(self,
bitsize: int, descr: str, window_size: int) -> None:
self.bitsize = bitsize
self.bitsize_description = descr
self.window_size = window_size
def arguments(self) -> List[str]:
return [str(self.bitsize), str(self.window_size)]
def description(self) -> str:
return '{} - {} MPI with {} bit window'.format(
BignumCoreCTLookup.test_name,
self.bitsize_description,
self.window_size
)
@classmethod
def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
for bitsize, bitsize_description in cls.bitsizes:
for window_size in cls.window_sizes:
yield (cls(bitsize, bitsize_description, window_size)
.create_test_case())
class BignumCoreAddAndAddIf(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for bignum core add and add-if."""
count = 0
symbol = "+"
test_function = "mpi_core_add_and_add_if"
test_name = "mpi_core_add_and_add_if"
input_style = "arch_split"
input_values = ADD_SUB_DATA
unique_combinations_only = True
def result(self) -> List[str]:
result = self.int_a + self.int_b
carry, result = divmod(result, self.limb_boundary)
return [
self.format_result(result),
str(carry)
]
class BignumCoreSub(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for bignum core sub."""
count = 0
input_style = "arch_split"
symbol = "-"
test_function = "mpi_core_sub"
test_name = "mbedtls_mpi_core_sub"
input_values = ADD_SUB_DATA
def result(self) -> List[str]:
if self.int_a >= self.int_b:
result = self.int_a - self.int_b
carry = 0
else:
result = self.limb_boundary + self.int_a - self.int_b
carry = 1
return [
self.format_result(result),
str(carry)
]
class BignumCoreMLA(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for fixed-size multiply accumulate."""
count = 0
test_function = "mpi_core_mla"
test_name = "mbedtls_mpi_core_mla"
input_values = [
"0", "1", "fffe", "ffffffff", "100000000", "20000000000000",
"ffffffffffffffff", "10000000000000000", "1234567890abcdef0",
"fffffffffffffffffefefefefefefefe",
"100000000000000000000000000000000",
"1234567890abcdef01234567890abcdef0",
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0",
(
"4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f"
"34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf17"
"9298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38"
"edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec02507"
"6b12b"
)
] # type: List[str]
input_scalars = [
"0", "3", "fe", "ff", "ffff", "10000", "ffffffff", "100000000",
"7f7f7f7f7f7f7f7f", "8000000000000000", "fffffffffffffffe"
] # type: List[str]
def __init__(self, val_a: str, val_b: str, val_s: str) -> None:
super().__init__(val_a, val_b)
self.arg_scalar = val_s
self.int_scalar = bignum_common.hex_to_int(val_s)
if bignum_common.limbs_mpi(self.int_scalar, 32) > 1:
self.dependencies = ["MBEDTLS_HAVE_INT64"]
def arguments(self) -> List[str]:
return [
bignum_common.quote_str(self.arg_a),
bignum_common.quote_str(self.arg_b),
bignum_common.quote_str(self.arg_scalar)
] + self.result()
def description(self) -> str:
"""Override and add the additional scalar."""
if not self.case_description:
self.case_description = "0x{} + 0x{} * 0x{}".format(
self.arg_a, self.arg_b, self.arg_scalar
)
return super().description()
def result(self) -> List[str]:
result = self.int_a + (self.int_b * self.int_scalar)
bound_val = max(self.int_a, self.int_b)
bound_4 = bignum_common.bound_mpi(bound_val, 32)
bound_8 = bignum_common.bound_mpi(bound_val, 64)
carry_4, remainder_4 = divmod(result, bound_4)
carry_8, remainder_8 = divmod(result, bound_8)
return [
"\"{:x}\"".format(remainder_4),
"\"{:x}\"".format(carry_4),
"\"{:x}\"".format(remainder_8),
"\"{:x}\"".format(carry_8)
]
@classmethod
def get_value_pairs(cls) -> Iterator[Tuple[str, str]]:
"""Generator to yield pairs of inputs.
Combinations are first generated from all input values, and then
specific cases provided.
"""
yield from super().get_value_pairs()
yield from cls.input_cases
@classmethod
def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
"""Override for additional scalar input."""
for a_value, b_value in cls.get_value_pairs():
for s_value in cls.input_scalars:
cur_op = cls(a_value, b_value, s_value)
yield cur_op.create_test_case()
class BignumCoreMul(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for bignum core multiplication."""
count = 0
input_style = "arch_split"
symbol = "*"
test_function = "mpi_core_mul"
test_name = "mbedtls_mpi_core_mul"
arity = 2
unique_combinations_only = True
def format_arg(self, val: str) -> str:
return val
def format_result(self, res: int) -> str:
res_str = '{:x}'.format(res)
a_limbs = bignum_common.limbs_mpi(self.int_a, self.bits_in_limb)
b_limbs = bignum_common.limbs_mpi(self.int_b, self.bits_in_limb)
hex_digits = bignum_common.hex_digits_for_limb(a_limbs + b_limbs, self.bits_in_limb)
return bignum_common.quote_str(self.format_arg(res_str).zfill(hex_digits))
def result(self) -> List[str]:
result = self.int_a * self.int_b
return [self.format_result(result)]
class BignumCoreMontmul(BignumCoreTarget, test_data_generation.BaseTest):
"""Test cases for Montgomery multiplication."""
count = 0
test_function = "mpi_core_montmul"
test_name = "mbedtls_mpi_core_montmul"
start_2_mpi4 = False
start_2_mpi8 = False
replay_test_cases = [
(2, 1, 1, 1, "19", "1", "1D"), (2, 1, 1, 1, "7", "1", "9"),
(2, 1, 1, 1, "4", "1", "9"),
(
12, 1, 6, 1, (
"3C246D0E059A93A266288A7718419EC741661B474C58C032C5EDAF92709402"
"B07CC8C7CE0B781C641A1EA8DB2F4343"
), "1", (
"66A198186C18C10B2F5ED9B522752A9830B69916E535C8F047518A889A43A5"
"94B6BED27A168D31D4A52F88925AA8F5"
)
), (
8, 1, 4, 1,
"1E442976B0E63D64FCCE74B999E470CA9888165CB75BFA1F340E918CE03C6211",
"1", "B3A119602EE213CDE28581ECD892E0F592A338655DCE4CA88054B3D124D0E561"
), (
22, 1, 11, 1, (
"7CF5AC97304E0B63C65413F57249F59994B0FED1D2A8D3D83ED5FA38560FFB"
"82392870D6D08F87D711917FD7537E13B7E125BE407E74157776839B0AC9DB"
"23CBDFC696104353E4D2780B2B4968F8D8542306BCA7A2366E"
), "1", (
"284139EA19C139EBE09A8111926AAA39A2C2BE12ED487A809D3CB5BC558547"
"25B4CDCB5734C58F90B2F60D99CC1950CDBC8D651793E93C9C6F0EAD752500"
"A32C56C62082912B66132B2A6AA42ADA923E1AD22CEB7BA0123"
)
)
] # type: List[Tuple[int, int, int, int, str, str, str]]
random_test_cases = [
("2", "2", "3", ""), ("1", "2", "3", ""), ("2", "1", "3", ""),
("6", "5", "7", ""), ("3", "4", "7", ""), ("1", "6", "7", ""), ("5", "6", "7", ""),
("3", "4", "B", ""), ("7", "4", "B", ""), ("9", "7", "B", ""), ("2", "a", "B", ""),
("25", "16", "29", "(0x29 is prime)"), ("8", "28", "29", ""),
("18", "21", "29", ""), ("15", "f", "29", ""),
("e2", "ea", "FF", ""), ("43", "72", "FF", ""),
("d8", "70", "FF", ""), ("3c", "7c", "FF", ""),
("99", "b9", "101", "(0x101 is prime)"), ("65", "b2", "101", ""),
("81", "32", "101", ""), ("51", "dd", "101", ""),
("d5", "143", "38B", "(0x38B is prime)"), ("3d", "387", "38B", ""),
("160", "2e5", "38B", ""), ("10f", "137", "38B", ""),
("7dac", "25a", "8003", "(0x8003 is prime)"), ("6f1c", "3286", "8003", ""),
("59ed", "2f3f", "8003", ""), ("6893", "736d", "8003", ""),
("d199", "2832", "10001", "(0x10001 is prime)"), ("c3b2", "3e5b", "10001", ""),
("abe4", "214e", "10001", ""), ("4360", "a05d", "10001", ""),
("3f5a1", "165b2", "7F7F7", ""), ("3bd29", "37863", "7F7F7", ""),
("60c47", "64819", "7F7F7", ""), ("16584", "12c49", "7F7F7", ""),
("1ff03f", "610347", "800009", "(0x800009 is prime)"), ("340fd5", "19812e", "800009", ""),
("3fe2e8", "4d0dc7", "800009", ""), ("40356", "e6392", "800009", ""),
("dd8a1d", "266c0e", "100002B", "(0x100002B is prime)"),
("3fa1cb", "847fd6", "100002B", ""), ("5f439d", "5c3196", "100002B", ""),
("18d645", "f72dc6", "100002B", ""),
("20051ad", "37def6e", "37EEE9D", "(0x37EEE9D is prime)"),
("2ec140b", "3580dbf", "37EEE9D", ""), ("1d91b46", "190d4fc", "37EEE9D", ""),
("34e488d", "1224d24", "37EEE9D", ""),
("2a4fe2cb", "263466a9", "8000000B", "(0x8000000B is prime)"),
("5643fe94", "29a1aefa", "8000000B", ""), ("29633513", "7b007ac4", "8000000B", ""),
("2439cef5", "5c9d5a47", "8000000B", ""),
("4de3cfaa", "50dea178", "8CD626B9", "(0x8CD626B9 is prime)"),
("b8b8563", "10dbbbac", "8CD626B9", ""), ("4e8a6151", "5574ec19", "8CD626B9", ""),
("69224878", "309cfc23", "8CD626B9", ""),
("fb6f7fb6", "afb05423", "10000000F", "(0x10000000F is prime)"),
("8391a243", "26034dcd", "10000000F", ""), ("d26b98c", "14b2d6aa", "10000000F", ""),
("6b9f1371", "a21daf1d", "10000000F", ""),
(
"9f49435ad", "c8264ade8", "174876E7E9",
"0x174876E7E9 is prime (dec) 99999999977"
),
("c402da434", "1fb427acf", "174876E7E9", ""),
("f6ebc2bb1", "1096d39f2a", "174876E7E9", ""),
("153b7f7b6b", "878fda8ff", "174876E7E9", ""),
("2c1adbb8d6", "4384d2d3c6", "8000000017", "(0x8000000017 is prime)"),
("2e4f9cf5fb", "794f3443d9", "8000000017", ""),
("149e495582", "3802b8f7b7", "8000000017", ""),
("7b9d49df82", "69c68a442a", "8000000017", ""),
("683a134600", "6dd80ea9f6", "864CB9076D", "(0x864CB9076D is prime)"),
("13a870ff0d", "59b099694a", "864CB9076D", ""),
("37d06b0e63", "4d2147e46f", "864CB9076D", ""),
("661714f8f4", "22e55df507", "864CB9076D", ""),
("2f0a96363", "52693307b4", "F7F7F7F7F7", ""),
("3c85078e64", "f2275ecb6d", "F7F7F7F7F7", ""),
("352dae68d1", "707775b4c6", "F7F7F7F7F7", ""),
("37ae0f3e0b", "912113040f", "F7F7F7F7F7", ""),
("6dada15e31", "f58ed9eff7", "1000000000F", "(0x1000000000F is prime)"),
("69627a7c89", "cfb5ebd13d", "1000000000F", ""),
("a5e1ad239b", "afc030c731", "1000000000F", ""),
("f1cc45f4c5", "c64ad607c8", "1000000000F", ""),
("2ebad87d2e31", "4c72d90bca78", "800000000005", "(0x800000000005 is prime)"),
("a30b3cc50d", "29ac4fe59490", "800000000005", ""),
("33674e9647b4", "5ec7ee7e72d3", "800000000005", ""),
("3d956f474f61", "74070040257d", "800000000005", ""),
("48348e3717d6", "43fcb4399571", "800795D9BA47", "(0x800795D9BA47 is prime)"),
("5234c03cc99b", "2f3cccb87803", "800795D9BA47", ""),
("3ed13db194ab", "44b8f4ba7030", "800795D9BA47", ""),
("1c11e843bfdb", "95bd1b47b08", "800795D9BA47", ""),
("a81d11cb81fd", "1e5753a3f33d", "1000000000015", "(0x1000000000015 is prime)"),
("688c4db99232", "36fc0cf7ed", "1000000000015", ""),
("f0720cc07e07", "fc76140ed903", "1000000000015", ""),
("2ec61f8d17d1", "d270c85e36d2", "1000000000015", ""),
(
"6a24cd3ab63820", "ed4aad55e5e348", "100000000000051",
"(0x100000000000051 is prime)"
),
("e680c160d3b248", "31e0d8840ed510", "100000000000051", ""),
("a80637e9aebc38", "bb81decc4e1738", "100000000000051", ""),
("9afa5a59e9d630", "be9e65a6d42938", "100000000000051", ""),
("ab5e104eeb71c000", "2cffbd639e9fea00", "ABCDEF0123456789", ""),
("197b867547f68a00", "44b796cf94654800", "ABCDEF0123456789", ""),
("329f9483a04f2c00", "9892f76961d0f000", "ABCDEF0123456789", ""),
("4a2e12dfb4545000", "1aa3e89a69794500", "ABCDEF0123456789", ""),
(
"8b9acdf013d140f000", "12e4ceaefabdf2b2f00", "25A55A46E5DA99C71C7",
"0x25A55A46E5DA99C71C7 is the 3rd repunit prime(dec) 11111111111111111111111"
),
("1b8d960ea277e3f5500", "14418aa980e37dd000", "25A55A46E5DA99C71C7", ""),
("7314524977e8075980", "8172fa45618ccd0d80", "25A55A46E5DA99C71C7", ""),
("ca14f031769be63580", "147a2f3cf2964ca9400", "25A55A46E5DA99C71C7", ""),
(
"18532ba119d5cd0cf39735c0000", "25f9838e31634844924733000000",
"314DC643FB763F2B8C0E2DE00879",
"0x314DC643FB763F2B8C0E2DE00879 is (dec)99999999977^3"
),
(
"a56e2d2517519e3970e70c40000", "ec27428d4bb380458588fa80000",
"314DC643FB763F2B8C0E2DE00879", ""
),
(
"1cb5e8257710e8653fff33a00000", "15fdd42fe440fd3a1d121380000",
"314DC643FB763F2B8C0E2DE00879", ""
),
(
"e50d07a65fc6f93e538ce040000", "1f4b059ca609f3ce597f61240000",
"314DC643FB763F2B8C0E2DE00879", ""
),
(
"1ea3ade786a095d978d387f30df9f20000000",
"127c448575f04af5a367a7be06c7da0000000",
"47BF19662275FA2F6845C74942ED1D852E521",
"0x47BF19662275FA2F6845C74942ED1D852E521 is (dec) 99999999977^4"
),
(
"16e15b0ca82764e72e38357b1f10a20000000",
"43e2355d8514bbe22b0838fdc3983a0000000",
"47BF19662275FA2F6845C74942ED1D852E521", ""
),
(
"be39332529d93f25c3d116c004c620000000",
"5cccec42370a0a2c89c6772da801a0000000",
"47BF19662275FA2F6845C74942ED1D852E521", ""
),
(
"ecaa468d90de0eeda474d39b3e1fc0000000",
"1e714554018de6dc0fe576bfd3b5660000000",
"47BF19662275FA2F6845C74942ED1D852E521", ""
),
(
"32298816711c5dce46f9ba06e775c4bedfc770e6700000000000000",
"8ee751fd5fb24f0b4a653cb3a0c8b7d9e724574d168000000000000",
"97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931",
(
"0x97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931"
" is (dec) 99999999977^6"
)
),
(
"29213b9df3cfd15f4b428645b67b677c29d1378d810000000000000",
"6cbb732c65e10a28872394dfdd1936d5171c3c3aac0000000000000",
"97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", ""
),
(
"6f18db06ad4abc52c0c50643dd13098abccd4a232f0000000000000",
"7e6bf41f2a86098ad51f98dfc10490ba3e8081bc830000000000000",
"97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", ""
),
(
"62d3286cd706ad9d73caff63f1722775d7e8c731208000000000000",
"530f7ba02ae2b04c2fe3e3d27ec095925631a6c2528000000000000",
"97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", ""
),
(
"a6c6503e3c031fdbf6009a89ed60582b7233c5a85de28b16000000000000000",
"75c8ed18270b583f16d442a467d32bf95c5e491e9b8523798000000000000000",
"DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499",
(
"0xDD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499"
" is (dec) 99999999977^7"
)
),
(
"bf84d1f85cf6b51e04d2c8f4ffd03532d852053cf99b387d4000000000000000",
"397ba5a743c349f4f28bc583ecd5f06e0a25f9c6d98f09134000000000000000",
"DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", ""
),
(
"6db11c3a4152ed1a2aa6fa34b0903ec82ea1b88908dcb482000000000000000",
"ac8ac576a74ad6ca48f201bf89f77350ce86e821358d85920000000000000000",
"DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", ""
),
(
"3001d96d7fe8b733f33687646fc3017e3ac417eb32e0ec708000000000000000",
"925ddbdac4174e8321a48a32f79640e8cf7ec6f46ea235a80000000000000000",
"DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", ""
),
(
"1029048755f2e60dd98c8de6d9989226b6bb4f0db8e46bd1939de560000000000000000000",
"51bb7270b2e25cec0301a03e8275213bb6c2f6e6ec93d4d46d36ca0000000000000000000",
"141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41",
(
"0x141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146"
"380E41 is 99999999977^8"
)
),
(
"1c5337ff982b3ad6611257dbff5bbd7a9920ba2d4f5838a0cc681ce000000000000000000",
"520c5d049ca4702031ba728591b665c4d4ccd3b2b86864d4c160fd2000000000000000000",
"141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41",
""
),
(
"57074dfa00e42f6555bae624b7f0209f218adf57f73ed34ab0ff90c000000000000000000",
"41eb14b6c07bfd3d1fe4f4a610c17cc44fcfcda695db040e011065000000000000000000",
"141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41",
""
),
(
"d8ed7feed2fe855e6997ad6397f776158573d425031bf085a615784000000000000000000",
"6f121dcd18c578ab5e229881006007bb6d319b179f11015fe958b9c000000000000000000",
"141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41",
""
),
(
(
"2a462b156180ea5fe550d3758c764e06fae54e626b5f503265a09df76edbdfbf"
"a1e6000000000000000000000000"
), (
"1136f41d1879fd4fb9e49e0943a46b6704d77c068ee237c3121f9071cfd3e6a0"
"0315800000000000000000000000"
), (
"2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC90"
"2713E40F51E3B3C214EDFABC451"
), (
"0x2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC"
"902713E40F51E3B3C214EDFABC451 is (dec) 99999999977^10"
)
),
(
(
"c1ac3800dfb3c6954dea391d206200cf3c47f795bf4a5603b4cb88ae7e574de47"
"40800000000000000000000000"
), (
"c0d16eda0549ede42fa0deb4635f7b7ce061fadea02ee4d85cba4c4f709603419"
"3c800000000000000000000000"
), (
"2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC90"
"2713E40F51E3B3C214EDFABC451"
), ""
),
(
(
"19e45bb7633094d272588ad2e43bcb3ee341991c6731b6fa9d47c4018d7ce7bba"
"5ee800000000000000000000000"
), (
"1e4f83166ae59f6b9cc8fd3e7677ed8bfc01bb99c98bd3eb084246b64c1e18c33"
"65b800000000000000000000000"
), (
"2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC90"
"2713E40F51E3B3C214EDFABC451"
), ""
),
(
(
"1aa93395fad5f9b7f20b8f9028a054c0bb7c11bb8520e6a95e5a34f06cb70bcdd"
"01a800000000000000000000000"
), (
"54b45afa5d4310192f8d224634242dd7dcfb342318df3d9bd37b4c614788ba13b"
"8b000000000000000000000000"
), (
"2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC90"
"2713E40F51E3B3C214EDFABC451"
), ""
),
(
(
"544f2628a28cfb5ce0a1b7180ee66b49716f1d9476c466c57f0c4b23089917843"
"06d48f78686115ee19e25400000000000000000000000000000000"
), (
"677eb31ef8d66c120fa872a60cd47f6e10cbfdf94f90501bd7883cba03d185be0"
"a0148d1625745e9c4c827300000000000000000000000000000000"
), (
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA1"
"1DABD6E6144BEF37C6800000000000000000000000000000000051"
), (
"0x8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBF"
"A11DABD6E6144BEF37C6800000000000000000000000000000000051 is prime,"
" (dec) 10^143 + 3^4"
)
),
(
(
"76bb3470985174915e9993522aec989666908f9e8cf5cb9f037bf4aee33d8865c"
"b6464174795d07e30015b80000000000000000000000000000000"
), (
"6aaaf60d5784dcef612d133613b179a317532ecca0eed40b8ad0c01e6d4a6d8c7"
"9a52af190abd51739009a900000000000000000000000000000000"
), (
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA1"
"1DABD6E6144BEF37C6800000000000000000000000000000000051"
), ""
),
(
(
"6cfdd6e60912e441d2d1fc88f421b533f0103a5322ccd3f4db84861643ad63fd6"
"3d1d8cfbc1d498162786ba00000000000000000000000000000000"
), (
"1177246ec5e93814816465e7f8f248b350d954439d35b2b5d75d917218e7fd5fb"
"4c2f6d0667f9467fdcf33400000000000000000000000000000000"
), (
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA1"
"1DABD6E6144BEF37C6800000000000000000000000000000000051"
), ""
),
(
(
"7a09a0b0f8bbf8057116fb0277a9bdf3a91b5eaa8830d448081510d8973888be5"
"a9f0ad04facb69aa3715f00000000000000000000000000000000"
), (
"764dec6c05a1c0d87b649efa5fd94c91ea28bffb4725d4ab4b33f1a3e8e3b314d"
"799020e244a835a145ec9800000000000000000000000000000000"
), (
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA1"
"1DABD6E6144BEF37C6800000000000000000000000000000000051"
), ""
)
] # type: List[Tuple[str, str, str, str]]
def __init__(
self, val_a: str, val_b: str, val_n: str, case_description: str = ""
):
self.case_description = case_description
self.arg_a = val_a
self.int_a = bignum_common.hex_to_int(val_a)
self.arg_b = val_b
self.int_b = bignum_common.hex_to_int(val_b)
self.arg_n = val_n
self.int_n = bignum_common.hex_to_int(val_n)
limbs_a4 = bignum_common.limbs_mpi(self.int_a, 32)
limbs_a8 = bignum_common.limbs_mpi(self.int_a, 64)
self.limbs_b4 = bignum_common.limbs_mpi(self.int_b, 32)
self.limbs_b8 = bignum_common.limbs_mpi(self.int_b, 64)
self.limbs_an4 = bignum_common.limbs_mpi(self.int_n, 32)
self.limbs_an8 = bignum_common.limbs_mpi(self.int_n, 64)
if limbs_a4 > self.limbs_an4 or limbs_a8 > self.limbs_an8:
raise Exception("Limbs of input A ({}) exceeds N ({})".format(
self.arg_a, self.arg_n
))
def arguments(self) -> List[str]:
return [
str(self.limbs_an4), str(self.limbs_b4),
str(self.limbs_an8), str(self.limbs_b8),
bignum_common.quote_str(self.arg_a),
bignum_common.quote_str(self.arg_b),
bignum_common.quote_str(self.arg_n)
] + self.result()
def description(self) -> str:
if self.case_description != "replay":
if not self.start_2_mpi4 and self.limbs_an4 > 1:
tmp = "(start of 2-MPI 4-byte bignums) "
self.__class__.start_2_mpi4 = True
elif not self.start_2_mpi8 and self.limbs_an8 > 1:
tmp = "(start of 2-MPI 8-byte bignums) "
self.__class__.start_2_mpi8 = True
else:
tmp = "(gen) "
self.case_description = tmp + self.case_description
return super().description()
def result(self) -> List[str]:
"""Get the result of the operation."""
r4 = bignum_common.bound_mpi_limbs(self.limbs_an4, 32)
i4 = bignum_common.invmod(r4, self.int_n)
x4 = self.int_a * self.int_b * i4
x4 = x4 % self.int_n
r8 = bignum_common.bound_mpi_limbs(self.limbs_an8, 64)
i8 = bignum_common.invmod(r8, self.int_n)
x8 = self.int_a * self.int_b * i8
x8 = x8 % self.int_n
return [
"\"{:x}\"".format(x4),
"\"{:x}\"".format(x8)
]
def set_limbs(
self, limbs_an4: int, limbs_b4: int, limbs_an8: int, limbs_b8: int
) -> None:
"""Set number of limbs for each input.
Replaces default values set during initialization.
"""
self.limbs_an4 = limbs_an4
self.limbs_b4 = limbs_b4
self.limbs_an8 = limbs_an8
self.limbs_b8 = limbs_b8
@classmethod
def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
"""Generate replay and randomly generated test cases."""
# Test cases which replay captured invocations during unit test runs.
for limbs_an4, limbs_b4, limbs_an8, limbs_b8, a, b, n in cls.replay_test_cases:
cur_op = cls(a, b, n, case_description="replay")
cur_op.set_limbs(limbs_an4, limbs_b4, limbs_an8, limbs_b8)
yield cur_op.create_test_case()
# Random test cases can be generated using mpi_modmul_case_generate()
# Uses a mixture of primes and odd numbers as N, with four randomly
# generated cases for each N.
for a, b, n, description in cls.random_test_cases:
cur_op = cls(a, b, n, case_description=description)
yield cur_op.create_test_case()
def mpi_modmul_case_generate() -> None:
"""Generate valid inputs for montmul tests using moduli.
For each modulus, generates random values for A and B and simple descriptions
for the test case.
"""
moduli = [
("3", ""), ("7", ""), ("B", ""), ("29", ""), ("FF", ""),
("101", ""), ("38B", ""), ("8003", ""), ("10001", ""),
("7F7F7", ""), ("800009", ""), ("100002B", ""), ("37EEE9D", ""),
("8000000B", ""), ("8CD626B9", ""), ("10000000F", ""),
("174876E7E9", "is prime (dec) 99999999977"),
("8000000017", ""), ("864CB9076D", ""), ("F7F7F7F7F7", ""),
("1000000000F", ""), ("800000000005", ""), ("800795D9BA47", ""),
("1000000000015", ""), ("100000000000051", ""), ("ABCDEF0123456789", ""),
(
"25A55A46E5DA99C71C7",
"is the 3rd repunit prime (dec) 11111111111111111111111"
),
("314DC643FB763F2B8C0E2DE00879", "is (dec)99999999977^3"),
("47BF19662275FA2F6845C74942ED1D852E521", "is (dec) 99999999977^4"),
(
"97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931",
"is (dec) 99999999977^6"
),
(
"DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499",
"is (dec) 99999999977^7"
),
(
"141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41",
"is (dec) 99999999977^8"
),
(
(
"2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E283"
"3EC902713E40F51E3B3C214EDFABC451"
),
"is (dec) 99999999977^10"
),
(
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11"
"DABD6E6144BEF37C6800000000000000000000000000000000051",
"is prime, (dec) 10^143 + 3^4"
)
] # type: List[Tuple[str, str]]
primes = [
"3", "7", "B", "29", "101", "38B", "8003", "10001", "800009",
"100002B", "37EEE9D", "8000000B", "8CD626B9",
# From here they require > 1 4-byte MPI
"10000000F", "174876E7E9", "8000000017", "864CB9076D", "1000000000F",
"800000000005", "800795D9BA47", "1000000000015", "100000000000051",
# From here they require > 1 8-byte MPI
"25A55A46E5DA99C71C7", # this is 11111111111111111111111 decimal
# 10^143 + 3^4: (which is prime)
# 100000000000000000000000000000000000000000000000000000000000000000000000000000
# 000000000000000000000000000000000000000000000000000000000000000081
(
"8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11"
"DABD6E6144BEF37C6800000000000000000000000000000000051"
)
] # type: List[str]
generated_inputs = []
for mod, description in moduli:
n = bignum_common.hex_to_int(mod)
mod_read = "{:x}".format(n)
case_count = 3 if n < 5 else 4
cases = {} # type: Dict[int, int]
i = 0
while i < case_count:
a = random.randint(1, n)
b = random.randint(1, n)
if cases.get(a) == b:
continue
cases[a] = b
if description:
out_description = "0x{} {}".format(mod_read, description)
elif i == 0 and len(mod) > 1 and mod in primes:
out_description = "(0x{} is prime)"
else:
out_description = ""
generated_inputs.append(
("{:x}".format(a), "{:x}".format(b), mod, out_description)
)
i += 1
print(generated_inputs)
class BignumCoreExpMod(BignumCoreTarget, bignum_common.ModOperationCommon):
"""Test cases for bignum core exponentiation."""
symbol = "^"
test_function = "mpi_core_exp_mod"
test_name = "Core modular exponentiation (Mongtomery form only)"
input_style = "fixed"
montgomery_form_a = True
def result(self) -> List[str]:
# Result has to be given in Montgomery form too
result = pow(self.int_a, self.int_b, self.int_n)
mont_result = self.to_montgomery(result)
return [self.format_result(mont_result)]
@property
def is_valid(self) -> bool:
# The base needs to be canonical, but the exponent can be larger than
# the modulus (see for example exponent blinding)
return bool(self.int_a < self.int_n)
class BignumCoreSubInt(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for bignum core sub int."""
count = 0
symbol = "-"
test_function = "mpi_core_sub_int"
test_name = "mpi_core_sub_int"
input_style = "arch_split"
@property
def is_valid(self) -> bool:
# This is "sub int", so b is only one limb
if bignum_common.limbs_mpi(self.int_b, self.bits_in_limb) > 1:
return False
return True
# Overriding because we don't want leading zeros on b
@property
def arg_b(self) -> str:
return self.val_b
def result(self) -> List[str]:
result = self.int_a - self.int_b
borrow, result = divmod(result, self.limb_boundary)
# Borrow will be -1 if non-zero, but we want it to be 1 in the test data
return [
self.format_result(result),
str(-borrow)
]
class BignumCoreZeroCheckCT(BignumCoreTarget, bignum_common.OperationCommon):
"""Test cases for bignum core zero check (constant flow)."""
count = 0
symbol = "== 0"
test_function = "mpi_core_check_zero_ct"
test_name = "mpi_core_check_zero_ct"
input_style = "variable"
arity = 1
suffix = True
def result(self) -> List[str]:
result = 1 if self.int_a == 0 else 0
return [str(result)]
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