summaryrefslogtreecommitdiff
path: root/scripts/mbedtls_dev/bignum_common.py
diff options
context:
space:
mode:
authorTom Rini <trini@konsulko.com>2024-10-08 13:56:50 -0600
committerTom Rini <trini@konsulko.com>2024-10-08 13:56:50 -0600
commit0344c602eadc0802776b65ff90f0a02c856cf53c (patch)
tree236a705740939b84ff37d68ae650061dd14c3449 /scripts/mbedtls_dev/bignum_common.py
Squashed 'lib/mbedtls/external/mbedtls/' content from commit 2ca6c285a0dd
git-subtree-dir: lib/mbedtls/external/mbedtls git-subtree-split: 2ca6c285a0dd3f33982dd57299012dacab1ff206
Diffstat (limited to 'scripts/mbedtls_dev/bignum_common.py')
-rw-r--r--scripts/mbedtls_dev/bignum_common.py406
1 files changed, 406 insertions, 0 deletions
diff --git a/scripts/mbedtls_dev/bignum_common.py b/scripts/mbedtls_dev/bignum_common.py
new file mode 100644
index 00000000000..eebc858b21b
--- /dev/null
+++ b/scripts/mbedtls_dev/bignum_common.py
@@ -0,0 +1,406 @@
+"""Common features for bignum in test generation framework."""
+# Copyright The Mbed TLS Contributors
+# SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
+#
+
+from abc import abstractmethod
+import enum
+from typing import Iterator, List, Tuple, TypeVar, Any
+from copy import deepcopy
+from itertools import chain
+from math import ceil
+
+from . import test_case
+from . import test_data_generation
+from .bignum_data import INPUTS_DEFAULT, MODULI_DEFAULT
+
+T = TypeVar('T') #pylint: disable=invalid-name
+
+def invmod(a: int, n: int) -> int:
+ """Return inverse of a to modulo n.
+
+ Equivalent to pow(a, -1, n) in Python 3.8+. Implementation is equivalent
+ to long_invmod() in CPython.
+ """
+ b, c = 1, 0
+ while n:
+ q, r = divmod(a, n)
+ a, b, c, n = n, c, b - q*c, r
+ # at this point a is the gcd of the original inputs
+ if a == 1:
+ return b
+ raise ValueError("Not invertible")
+
+def invmod_positive(a: int, n: int) -> int:
+ """Return a non-negative inverse of a to modulo n."""
+ inv = invmod(a, n)
+ return inv if inv >= 0 else inv + n
+
+def hex_to_int(val: str) -> int:
+ """Implement the syntax accepted by mbedtls_test_read_mpi().
+
+ This is a superset of what is accepted by mbedtls_test_read_mpi_core().
+ """
+ if val in ['', '-']:
+ return 0
+ return int(val, 16)
+
+def quote_str(val: str) -> str:
+ return "\"{}\"".format(val)
+
+def bound_mpi(val: int, bits_in_limb: int) -> int:
+ """First number exceeding number of limbs needed for given input value."""
+ return bound_mpi_limbs(limbs_mpi(val, bits_in_limb), bits_in_limb)
+
+def bound_mpi_limbs(limbs: int, bits_in_limb: int) -> int:
+ """First number exceeding maximum of given number of limbs."""
+ bits = bits_in_limb * limbs
+ return 1 << bits
+
+def limbs_mpi(val: int, bits_in_limb: int) -> int:
+ """Return the number of limbs required to store value."""
+ bit_length = max(val.bit_length(), 1)
+ return (bit_length + bits_in_limb - 1) // bits_in_limb
+
+def combination_pairs(values: List[T]) -> List[Tuple[T, T]]:
+ """Return all pair combinations from input values."""
+ return [(x, y) for x in values for y in values]
+
+def bits_to_limbs(bits: int, bits_in_limb: int) -> int:
+ """ Return the appropriate ammount of limbs needed to store
+ a number contained in input bits"""
+ return ceil(bits / bits_in_limb)
+
+def hex_digits_for_limb(limbs: int, bits_in_limb: int) -> int:
+ """ Return the hex digits need for a number of limbs. """
+ return 2 * ((limbs * bits_in_limb) // 8)
+
+def hex_digits_max_int(val: str, bits_in_limb: int) -> int:
+ """ Return the first number exceeding maximum the limb space
+ required to store the input hex-string value. This method
+ weights on the input str_len rather than numerical value
+ and works with zero-padded inputs"""
+ n = ((1 << (len(val) * 4)) - 1)
+ l = limbs_mpi(n, bits_in_limb)
+ return bound_mpi_limbs(l, bits_in_limb)
+
+def zfill_match(reference: str, target: str) -> str:
+ """ Zero pad target hex-string to match the limb size of
+ the reference input """
+ lt = len(target)
+ lr = len(reference)
+ target_len = lr if lt < lr else lt
+ return "{:x}".format(int(target, 16)).zfill(target_len)
+
+class OperationCommon(test_data_generation.BaseTest):
+ """Common features for bignum binary operations.
+
+ This adds functionality common in binary operation tests.
+
+ Attributes:
+ symbol: Symbol to use for the operation in case description.
+ input_values: List of values to use as test case inputs. These are
+ combined to produce pairs of values.
+ input_cases: List of tuples containing pairs of test case inputs. This
+ can be used to implement specific pairs of inputs.
+ unique_combinations_only: Boolean to select if test case combinations
+ must be unique. If True, only A,B or B,A would be included as a test
+ case. If False, both A,B and B,A would be included.
+ input_style: Controls the way how test data is passed to the functions
+ in the generated test cases. "variable" passes them as they are
+ defined in the python source. "arch_split" pads the values with
+ zeroes depending on the architecture/limb size. If this is set,
+ test cases are generated for all architectures.
+ arity: the number of operands for the operation. Currently supported
+ values are 1 and 2.
+ """
+ symbol = ""
+ input_values = INPUTS_DEFAULT # type: List[str]
+ input_cases = [] # type: List[Any]
+ dependencies = [] # type: List[Any]
+ unique_combinations_only = False
+ input_styles = ["variable", "fixed", "arch_split"] # type: List[str]
+ input_style = "variable" # type: str
+ limb_sizes = [32, 64] # type: List[int]
+ arities = [1, 2]
+ arity = 2
+ suffix = False # for arity = 1, symbol can be prefix (default) or suffix
+
+ def __init__(self, val_a: str, val_b: str = "0", bits_in_limb: int = 32) -> None:
+ self.val_a = val_a
+ self.val_b = val_b
+ # Setting the int versions here as opposed to making them @properties
+ # provides earlier/more robust input validation.
+ self.int_a = hex_to_int(val_a)
+ self.int_b = hex_to_int(val_b)
+ self.dependencies = deepcopy(self.dependencies)
+ if bits_in_limb not in self.limb_sizes:
+ raise ValueError("Invalid number of bits in limb!")
+ if self.input_style == "arch_split":
+ self.dependencies.append("MBEDTLS_HAVE_INT{:d}".format(bits_in_limb))
+ self.bits_in_limb = bits_in_limb
+
+ @property
+ def boundary(self) -> int:
+ if self.arity == 1:
+ return self.int_a
+ elif self.arity == 2:
+ return max(self.int_a, self.int_b)
+ raise ValueError("Unsupported number of operands!")
+
+ @property
+ def limb_boundary(self) -> int:
+ return bound_mpi(self.boundary, self.bits_in_limb)
+
+ @property
+ def limbs(self) -> int:
+ return limbs_mpi(self.boundary, self.bits_in_limb)
+
+ @property
+ def hex_digits(self) -> int:
+ return hex_digits_for_limb(self.limbs, self.bits_in_limb)
+
+ def format_arg(self, val: str) -> str:
+ if self.input_style not in self.input_styles:
+ raise ValueError("Unknown input style!")
+ if self.input_style == "variable":
+ return val
+ else:
+ return val.zfill(self.hex_digits)
+
+ def format_result(self, res: int) -> str:
+ res_str = '{:x}'.format(res)
+ return quote_str(self.format_arg(res_str))
+
+ @property
+ def arg_a(self) -> str:
+ return self.format_arg(self.val_a)
+
+ @property
+ def arg_b(self) -> str:
+ if self.arity == 1:
+ raise AttributeError("Operation is unary and doesn't have arg_b!")
+ return self.format_arg(self.val_b)
+
+ def arguments(self) -> List[str]:
+ args = [quote_str(self.arg_a)]
+ if self.arity == 2:
+ args.append(quote_str(self.arg_b))
+ return args + self.result()
+
+ def description(self) -> str:
+ """Generate a description for the test case.
+
+ If not set, case_description uses the form A `symbol` B, where symbol
+ is used to represent the operation. Descriptions of each value are
+ generated to provide some context to the test case.
+ """
+ if not self.case_description:
+ if self.arity == 1:
+ format_string = "{1:x} {0}" if self.suffix else "{0} {1:x}"
+ self.case_description = format_string.format(
+ self.symbol, self.int_a
+ )
+ elif self.arity == 2:
+ self.case_description = "{:x} {} {:x}".format(
+ self.int_a, self.symbol, self.int_b
+ )
+ return super().description()
+
+ @property
+ def is_valid(self) -> bool:
+ return True
+
+ @abstractmethod
+ def result(self) -> List[str]:
+ """Get the result of the operation.
+
+ This could be calculated during initialization and stored as `_result`
+ and then returned, or calculated when the method is called.
+ """
+ raise NotImplementedError
+
+ @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.
+ """
+ if cls.arity == 1:
+ yield from ((a, "0") for a in cls.input_values)
+ elif cls.arity == 2:
+ if cls.unique_combinations_only:
+ yield from combination_pairs(cls.input_values)
+ else:
+ yield from (
+ (a, b)
+ for a in cls.input_values
+ for b in cls.input_values
+ )
+ else:
+ raise ValueError("Unsupported number of operands!")
+
+ @classmethod
+ def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
+ if cls.input_style not in cls.input_styles:
+ raise ValueError("Unknown input style!")
+ if cls.arity not in cls.arities:
+ raise ValueError("Unsupported number of operands!")
+ if cls.input_style == "arch_split":
+ test_objects = (cls(a, b, bits_in_limb=bil)
+ for a, b in cls.get_value_pairs()
+ for bil in cls.limb_sizes)
+ special_cases = (cls(*args, bits_in_limb=bil) # type: ignore
+ for args in cls.input_cases
+ for bil in cls.limb_sizes)
+ else:
+ test_objects = (cls(a, b)
+ for a, b in cls.get_value_pairs())
+ special_cases = (cls(*args) for args in cls.input_cases)
+ yield from (valid_test_object.create_test_case()
+ for valid_test_object in filter(
+ lambda test_object: test_object.is_valid,
+ chain(test_objects, special_cases)
+ )
+ )
+
+
+class ModulusRepresentation(enum.Enum):
+ """Representation selector of a modulus."""
+ # Numerical values aligned with the type mbedtls_mpi_mod_rep_selector
+ INVALID = 0
+ MONTGOMERY = 2
+ OPT_RED = 3
+
+ def symbol(self) -> str:
+ """The C symbol for this representation selector."""
+ return 'MBEDTLS_MPI_MOD_REP_' + self.name
+
+ @classmethod
+ def supported_representations(cls) -> List['ModulusRepresentation']:
+ """Return all representations that are supported in positive test cases."""
+ return [cls.MONTGOMERY, cls.OPT_RED]
+
+
+class ModOperationCommon(OperationCommon):
+ #pylint: disable=abstract-method
+ """Target for bignum mod_raw test case generation."""
+ moduli = MODULI_DEFAULT # type: List[str]
+ montgomery_form_a = False
+ disallow_zero_a = False
+
+ def __init__(self, val_n: str, val_a: str, val_b: str = "0",
+ bits_in_limb: int = 64) -> None:
+ super().__init__(val_a=val_a, val_b=val_b, bits_in_limb=bits_in_limb)
+ self.val_n = val_n
+ # Setting the int versions here as opposed to making them @properties
+ # provides earlier/more robust input validation.
+ self.int_n = hex_to_int(val_n)
+
+ def to_montgomery(self, val: int) -> int:
+ return (val * self.r) % self.int_n
+
+ def from_montgomery(self, val: int) -> int:
+ return (val * self.r_inv) % self.int_n
+
+ def convert_from_canonical(self, canonical: int,
+ rep: ModulusRepresentation) -> int:
+ """Convert values from canonical representation to the given representation."""
+ if rep is ModulusRepresentation.MONTGOMERY:
+ return self.to_montgomery(canonical)
+ elif rep is ModulusRepresentation.OPT_RED:
+ return canonical
+ else:
+ raise ValueError('Modulus representation not supported: {}'
+ .format(rep.name))
+
+ @property
+ def boundary(self) -> int:
+ return self.int_n
+
+ @property
+ def arg_a(self) -> str:
+ if self.montgomery_form_a:
+ value_a = self.to_montgomery(self.int_a)
+ else:
+ value_a = self.int_a
+ return self.format_arg('{:x}'.format(value_a))
+
+ @property
+ def arg_n(self) -> str:
+ return self.format_arg(self.val_n)
+
+ def format_arg(self, val: str) -> str:
+ return super().format_arg(val).zfill(self.hex_digits)
+
+ def arguments(self) -> List[str]:
+ return [quote_str(self.arg_n)] + super().arguments()
+
+ @property
+ def r(self) -> int: # pylint: disable=invalid-name
+ l = limbs_mpi(self.int_n, self.bits_in_limb)
+ return bound_mpi_limbs(l, self.bits_in_limb)
+
+ @property
+ def r_inv(self) -> int:
+ return invmod(self.r, self.int_n)
+
+ @property
+ def r2(self) -> int: # pylint: disable=invalid-name
+ return pow(self.r, 2)
+
+ @property
+ def is_valid(self) -> bool:
+ if self.int_a >= self.int_n:
+ return False
+ if self.disallow_zero_a and self.int_a == 0:
+ return False
+ if self.arity == 2 and self.int_b >= self.int_n:
+ return False
+ return True
+
+ def description(self) -> str:
+ """Generate a description for the test case.
+
+ It uses the form A `symbol` B mod N, where symbol is used to represent
+ the operation.
+ """
+
+ if not self.case_description:
+ return super().description() + " mod {:x}".format(self.int_n)
+ return super().description()
+
+ @classmethod
+ def input_cases_args(cls) -> Iterator[Tuple[Any, Any, Any]]:
+ if cls.arity == 1:
+ yield from ((n, a, "0") for a, n in cls.input_cases)
+ elif cls.arity == 2:
+ yield from ((n, a, b) for a, b, n in cls.input_cases)
+ else:
+ raise ValueError("Unsupported number of operands!")
+
+ @classmethod
+ def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
+ if cls.input_style not in cls.input_styles:
+ raise ValueError("Unknown input style!")
+ if cls.arity not in cls.arities:
+ raise ValueError("Unsupported number of operands!")
+ if cls.input_style == "arch_split":
+ test_objects = (cls(n, a, b, bits_in_limb=bil)
+ for n in cls.moduli
+ for a, b in cls.get_value_pairs()
+ for bil in cls.limb_sizes)
+ special_cases = (cls(*args, bits_in_limb=bil)
+ for args in cls.input_cases_args()
+ for bil in cls.limb_sizes)
+ else:
+ test_objects = (cls(n, a, b)
+ for n in cls.moduli
+ for a, b in cls.get_value_pairs())
+ special_cases = (cls(*args) for args in cls.input_cases_args())
+ yield from (valid_test_object.create_test_case()
+ for valid_test_object in filter(
+ lambda test_object: test_object.is_valid,
+ chain(test_objects, special_cases)
+ ))