Merge pull request #6307 from wernerlewis/bignum_test_script_2.28
[Backport 2.28] Add bignum test case generation script
diff --git a/scripts/mbedtls_dev/test_generation.py b/scripts/mbedtls_dev/test_generation.py
new file mode 100644
index 0000000..5de0b88
--- /dev/null
+++ b/scripts/mbedtls_dev/test_generation.py
@@ -0,0 +1,204 @@
+"""Common test generation classes and main function.
+
+These are used both by generate_psa_tests.py and generate_bignum_tests.py.
+"""
+
+# 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 argparse
+import os
+import posixpath
+import re
+
+from abc import ABCMeta, abstractmethod
+from typing import Callable, Dict, Iterable, Iterator, List, Type, TypeVar
+
+from mbedtls_dev import test_case
+
+T = TypeVar('T') #pylint: disable=invalid-name
+
+
+class BaseTarget(metaclass=ABCMeta):
+ """Base target for test case generation.
+
+ Child classes of this class represent an output file, and can be referred
+ to as file targets. These indicate where test cases will be written to for
+ all subclasses of the file target, which is set by `target_basename`.
+
+ Attributes:
+ count: Counter for test cases from this class.
+ case_description: Short description of the test case. This may be
+ automatically generated using the class, or manually set.
+ dependencies: A list of dependencies required for the test case.
+ show_test_count: Toggle for inclusion of `count` in the test description.
+ target_basename: Basename of file to write generated tests to. This
+ should be specified in a child class of BaseTarget.
+ test_function: Test function which the class generates cases for.
+ test_name: A common name or description of the test function. This can
+ be `test_function`, a clearer equivalent, or a short summary of the
+ test function's purpose.
+ """
+ count = 0
+ case_description = ""
+ dependencies = [] # type: List[str]
+ show_test_count = True
+ target_basename = ""
+ test_function = ""
+ test_name = ""
+
+ def __new__(cls, *args, **kwargs):
+ # pylint: disable=unused-argument
+ cls.count += 1
+ return super().__new__(cls)
+
+ @abstractmethod
+ def arguments(self) -> List[str]:
+ """Get the list of arguments for the test case.
+
+ Override this method to provide the list of arguments required for
+ the `test_function`.
+
+ Returns:
+ List of arguments required for the test function.
+ """
+ raise NotImplementedError
+
+ def description(self) -> str:
+ """Create a test case description.
+
+ Creates a description of the test case, including a name for the test
+ function, an optional case count, and a description of the specific
+ test case. This should inform a reader what is being tested, and
+ provide context for the test case.
+
+ Returns:
+ Description for the test case.
+ """
+ if self.show_test_count:
+ return "{} #{} {}".format(
+ self.test_name, self.count, self.case_description
+ ).strip()
+ else:
+ return "{} {}".format(self.test_name, self.case_description).strip()
+
+
+ def create_test_case(self) -> test_case.TestCase:
+ """Generate TestCase from the instance."""
+ tc = test_case.TestCase()
+ tc.set_description(self.description())
+ tc.set_function(self.test_function)
+ tc.set_arguments(self.arguments())
+ tc.set_dependencies(self.dependencies)
+
+ return tc
+
+ @classmethod
+ @abstractmethod
+ def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
+ """Generate test cases for the class test function.
+
+ This will be called in classes where `test_function` is set.
+ Implementations should yield TestCase objects, by creating instances
+ of the class with appropriate input data, and then calling
+ `create_test_case()` on each.
+ """
+ raise NotImplementedError
+
+ @classmethod
+ def generate_tests(cls) -> Iterator[test_case.TestCase]:
+ """Generate test cases for the class and its subclasses.
+
+ In classes with `test_function` set, `generate_function_tests()` is
+ called to generate test cases first.
+
+ In all classes, this method will iterate over its subclasses, and
+ yield from `generate_tests()` in each. Calling this method on a class X
+ will yield test cases from all classes derived from X.
+ """
+ if cls.test_function:
+ yield from cls.generate_function_tests()
+ for subclass in sorted(cls.__subclasses__(), key=lambda c: c.__name__):
+ yield from subclass.generate_tests()
+
+
+class TestGenerator:
+ """Generate test cases and write to data files."""
+ def __init__(self, options) -> None:
+ self.test_suite_directory = self.get_option(options, 'directory',
+ 'tests/suites')
+ # Update `targets` with an entry for each child class of BaseTarget.
+ # Each entry represents a file generated by the BaseTarget framework,
+ # and enables generating the .data files using the CLI.
+ self.targets.update({
+ subclass.target_basename: subclass.generate_tests
+ for subclass in BaseTarget.__subclasses__()
+ })
+
+ @staticmethod
+ def get_option(options, name: str, default: T) -> T:
+ value = getattr(options, name, None)
+ return default if value is None else value
+
+ def filename_for(self, basename: str) -> str:
+ """The location of the data file with the specified base name."""
+ return posixpath.join(self.test_suite_directory, basename + '.data')
+
+ def write_test_data_file(self, basename: str,
+ test_cases: Iterable[test_case.TestCase]) -> None:
+ """Write the test cases to a .data file.
+
+ The output file is ``basename + '.data'`` in the test suite directory.
+ """
+ filename = self.filename_for(basename)
+ test_case.write_data_file(filename, test_cases)
+
+ # Note that targets whose names contain 'test_format' have their content
+ # validated by `abi_check.py`.
+ targets = {} # type: Dict[str, Callable[..., Iterable[test_case.TestCase]]]
+
+ def generate_target(self, name: str, *target_args) -> None:
+ """Generate cases and write to data file for a target.
+
+ For target callables which require arguments, override this function
+ and pass these arguments using super() (see PSATestGenerator).
+ """
+ test_cases = self.targets[name](*target_args)
+ self.write_test_data_file(name, test_cases)
+
+def main(args, description: str, generator_class: Type[TestGenerator] = TestGenerator):
+ """Command line entry point."""
+ parser = argparse.ArgumentParser(description=description)
+ parser.add_argument('--list', action='store_true',
+ help='List available targets and exit')
+ parser.add_argument('targets', nargs='*', metavar='TARGET',
+ help='Target file to generate (default: all; "-": none)')
+ options = parser.parse_args(args)
+ generator = generator_class(options)
+ if options.list:
+ for name in sorted(generator.targets):
+ print(generator.filename_for(name))
+ return
+ if options.targets:
+ # Allow "-" as a special case so you can run
+ # ``generate_xxx_tests.py - $targets`` and it works uniformly whether
+ # ``$targets`` is empty or not.
+ options.targets = [os.path.basename(re.sub(r'\.data\Z', r'', target))
+ for target in options.targets
+ if target != '-']
+ else:
+ options.targets = sorted(generator.targets)
+ for target in options.targets:
+ generator.generate_target(target)
diff --git a/tests/scripts/check-generated-files.sh b/tests/scripts/check-generated-files.sh
index 75730ba..3e5cb86 100755
--- a/tests/scripts/check-generated-files.sh
+++ b/tests/scripts/check-generated-files.sh
@@ -107,4 +107,5 @@
check scripts/generate_features.pl library/version_features.c
check scripts/generate_visualc_files.pl visualc/VS2010
check scripts/generate_psa_constants.py programs/psa/psa_constant_names_generated.c
+check tests/scripts/generate_bignum_tests.py $(tests/scripts/generate_bignum_tests.py --list)
check tests/scripts/generate_psa_tests.py $(tests/scripts/generate_psa_tests.py --list)
diff --git a/tests/scripts/generate_bignum_tests.py b/tests/scripts/generate_bignum_tests.py
new file mode 100755
index 0000000..ceafa4a
--- /dev/null
+++ b/tests/scripts/generate_bignum_tests.py
@@ -0,0 +1,238 @@
+#!/usr/bin/env python3
+"""Generate test data for bignum functions.
+
+With no arguments, generate all test data. With non-option arguments,
+generate only the specified files.
+
+Class structure:
+
+Child classes of test_generation.BaseTarget (file targets) represent an output
+file. These indicate where test cases will be written to, for all subclasses of
+this target. Multiple file targets should not reuse a `target_basename`.
+
+Each subclass derived from a file target can either be:
+ - A concrete class, representing a test function, which generates test cases.
+ - An abstract class containing shared methods and attributes, not associated
+ with a test function. An example is BignumOperation, which provides
+ common features used for bignum binary operations.
+
+Both concrete and abstract subclasses can be derived from, to implement
+additional test cases (see BignumCmp and BignumCmpAbs for examples of deriving
+from abstract and concrete classes).
+
+
+Adding test case generation for a function:
+
+A subclass representing the test function should be added, deriving from a
+file target such as BignumTarget. This test class must set/implement the
+following:
+ - test_function: the function name from the associated .function file.
+ - test_name: a descriptive name or brief summary to refer to the test
+ function.
+ - arguments(): a method to generate the list of arguments required for the
+ test_function.
+ - generate_function_test(): a method to generate TestCases for the function.
+ This should create instances of the class with required input data, and
+ call `.create_test_case()` to yield the TestCase.
+
+Additional details and other attributes/methods are given in the documentation
+of BaseTarget in test_generation.py.
+"""
+
+# 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 itertools
+import sys
+import typing
+
+from abc import ABCMeta, abstractmethod
+from typing import Iterator, List, Tuple, TypeVar
+
+import scripts_path # pylint: disable=unused-import
+from mbedtls_dev import test_case
+from mbedtls_dev import test_generation
+
+T = TypeVar('T') #pylint: disable=invalid-name
+
+def hex_to_int(val: str) -> int:
+ return int(val, 16) if val else 0
+
+def quote_str(val) -> str:
+ return "\"{}\"".format(val)
+
+def combination_pairs(values: List[T]) -> List[Tuple[T, T]]:
+ """Return all pair combinations from input values.
+
+ The return value is cast, as older versions of mypy are unable to derive
+ the specific type returned by itertools.combinations_with_replacement.
+ """
+ return typing.cast(
+ List[Tuple[T, T]],
+ list(itertools.combinations_with_replacement(values, 2))
+ )
+
+
+class BignumTarget(test_generation.BaseTarget, metaclass=ABCMeta):
+ #pylint: disable=abstract-method
+ """Target for bignum (mpi) test case generation."""
+ target_basename = 'test_suite_mpi.generated'
+
+
+class BignumOperation(BignumTarget, metaclass=ABCMeta):
+ """Common features for bignum binary operations.
+
+ This adds functionality common in binary operation tests. This includes
+ generation of case descriptions, using descriptions of values and symbols
+ to represent the operation or result.
+
+ Attributes:
+ symbol: Symbol used 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.
+ """
+ symbol = ""
+ input_values = [
+ "", "0", "7b", "-7b",
+ "0000000000000000123", "-0000000000000000123",
+ "1230000000000000000", "-1230000000000000000"
+ ] # type: List[str]
+ input_cases = [] # type: List[Tuple[str, str]]
+
+ def __init__(self, val_a: str, val_b: str) -> None:
+ self.arg_a = val_a
+ self.arg_b = val_b
+ self.int_a = hex_to_int(val_a)
+ self.int_b = hex_to_int(val_b)
+
+ def arguments(self) -> List[str]:
+ return [quote_str(self.arg_a), quote_str(self.arg_b), 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:
+ self.case_description = "{} {} {}".format(
+ self.value_description(self.arg_a),
+ self.symbol,
+ self.value_description(self.arg_b)
+ )
+ return super().description()
+
+ @abstractmethod
+ def result(self) -> 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
+
+ @staticmethod
+ def value_description(val) -> str:
+ """Generate a description of the argument val.
+
+ This produces a simple description of the value, which is used in test
+ case naming to add context.
+ """
+ if val == "":
+ return "0 (null)"
+ if val == "0":
+ return "0 (1 limb)"
+
+ if val[0] == "-":
+ tmp = "negative"
+ val = val[1:]
+ else:
+ tmp = "positive"
+ if val[0] == "0":
+ tmp += " with leading zero limb"
+ elif len(val) > 10:
+ tmp = "large " + tmp
+ return tmp
+
+ @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 combination_pairs(cls.input_values)
+ yield from cls.input_cases
+
+ @classmethod
+ def generate_function_tests(cls) -> Iterator[test_case.TestCase]:
+ for a_value, b_value in cls.get_value_pairs():
+ cur_op = cls(a_value, b_value)
+ yield cur_op.create_test_case()
+
+
+class BignumCmp(BignumOperation):
+ """Test cases for bignum value comparison."""
+ count = 0
+ test_function = "mbedtls_mpi_cmp_mpi"
+ test_name = "MPI compare"
+ input_cases = [
+ ("-2", "-3"),
+ ("-2", "-2"),
+ ("2b4", "2b5"),
+ ("2b5", "2b6")
+ ]
+
+ def __init__(self, val_a, val_b) -> None:
+ super().__init__(val_a, val_b)
+ self._result = int(self.int_a > self.int_b) - int(self.int_a < self.int_b)
+ self.symbol = ["<", "==", ">"][self._result + 1]
+
+ def result(self) -> str:
+ return str(self._result)
+
+
+class BignumCmpAbs(BignumCmp):
+ """Test cases for absolute bignum value comparison."""
+ count = 0
+ test_function = "mbedtls_mpi_cmp_abs"
+ test_name = "MPI compare (abs)"
+
+ def __init__(self, val_a, val_b) -> None:
+ super().__init__(val_a.strip("-"), val_b.strip("-"))
+
+
+class BignumAdd(BignumOperation):
+ """Test cases for bignum value addition."""
+ count = 0
+ symbol = "+"
+ test_function = "mbedtls_mpi_add_mpi"
+ test_name = "MPI add"
+ input_cases = combination_pairs(
+ [
+ "1c67967269c6", "9cde3",
+ "-1c67967269c6", "-9cde3",
+ ]
+ )
+
+ def result(self) -> str:
+ return quote_str("{:x}".format(self.int_a + self.int_b))
+
+if __name__ == '__main__':
+ # Use the section of the docstring relevant to the CLI as description
+ test_generation.main(sys.argv[1:], "\n".join(__doc__.splitlines()[:4]))
diff --git a/tests/scripts/generate_psa_tests.py b/tests/scripts/generate_psa_tests.py
index 33c1fc3..867a6b4 100755
--- a/tests/scripts/generate_psa_tests.py
+++ b/tests/scripts/generate_psa_tests.py
@@ -20,20 +20,17 @@
# See the License for the specific language governing permissions and
# limitations under the License.
-import argparse
import enum
-import os
import re
import sys
-from typing import Callable, Dict, FrozenSet, Iterable, Iterator, List, Optional, TypeVar
+from typing import Callable, Dict, FrozenSet, Iterable, Iterator, List, Optional
import scripts_path # pylint: disable=unused-import
from mbedtls_dev import crypto_knowledge
from mbedtls_dev import macro_collector
from mbedtls_dev import psa_storage
from mbedtls_dev import test_case
-
-T = TypeVar('T') #pylint: disable=invalid-name
+from mbedtls_dev import test_generation
def psa_want_symbol(name: str) -> str:
@@ -897,35 +894,11 @@
yield from super().generate_all_keys()
yield from self.all_keys_for_implicit_usage()
-class TestGenerator:
- """Generate test data."""
-
- def __init__(self, options) -> None:
- self.test_suite_directory = self.get_option(options, 'directory',
- 'tests/suites')
- self.info = Information()
-
- @staticmethod
- def get_option(options, name: str, default: T) -> T:
- value = getattr(options, name, None)
- return default if value is None else value
-
- def filename_for(self, basename: str) -> str:
- """The location of the data file with the specified base name."""
- return os.path.join(self.test_suite_directory, basename + '.data')
-
- def write_test_data_file(self, basename: str,
- test_cases: Iterable[test_case.TestCase]) -> None:
- """Write the test cases to a .data file.
-
- The output file is ``basename + '.data'`` in the test suite directory.
- """
- filename = self.filename_for(basename)
- test_case.write_data_file(filename, test_cases)
-
+class PSATestGenerator(test_generation.TestGenerator):
+ """Test generator subclass including PSA targets and info."""
# Note that targets whose names contain 'test_format' have their content
# validated by `abi_check.py`.
- TARGETS = {
+ targets = {
'test_suite_psa_crypto_generate_key.generated':
lambda info: KeyGenerate(info).test_cases_for_key_generation(),
'test_suite_psa_crypto_not_supported.generated':
@@ -938,34 +911,12 @@
lambda info: StorageFormatV0(info).all_test_cases(),
} #type: Dict[str, Callable[[Information], Iterable[test_case.TestCase]]]
- def generate_target(self, name: str) -> None:
- test_cases = self.TARGETS[name](self.info)
- self.write_test_data_file(name, test_cases)
+ def __init__(self, options):
+ super().__init__(options)
+ self.info = Information()
-def main(args):
- """Command line entry point."""
- parser = argparse.ArgumentParser(description=__doc__)
- parser.add_argument('--list', action='store_true',
- help='List available targets and exit')
- parser.add_argument('targets', nargs='*', metavar='TARGET',
- help='Target file to generate (default: all; "-": none)')
- options = parser.parse_args(args)
- generator = TestGenerator(options)
- if options.list:
- for name in sorted(generator.TARGETS):
- print(generator.filename_for(name))
- return
- if options.targets:
- # Allow "-" as a special case so you can run
- # ``generate_psa_tests.py - $targets`` and it works uniformly whether
- # ``$targets`` is empty or not.
- options.targets = [os.path.basename(re.sub(r'\.data\Z', r'', target))
- for target in options.targets
- if target != '-']
- else:
- options.targets = sorted(generator.TARGETS)
- for target in options.targets:
- generator.generate_target(target)
+ def generate_target(self, name: str, *target_args) -> None:
+ super().generate_target(name, self.info)
if __name__ == '__main__':
- main(sys.argv[1:])
+ test_generation.main(sys.argv[1:], __doc__, PSATestGenerator)
diff --git a/tests/suites/test_suite_mpi.generated.data b/tests/suites/test_suite_mpi.generated.data
new file mode 100644
index 0000000..947d06f
--- /dev/null
+++ b/tests/suites/test_suite_mpi.generated.data
@@ -0,0 +1,381 @@
+# Automatically generated by generate_bignum_tests.py. Do not edit!
+
+MPI add #1 0 (null) + 0 (null)
+mbedtls_mpi_add_mpi:"":"":"0"
+
+MPI add #2 0 (null) + 0 (1 limb)
+mbedtls_mpi_add_mpi:"":"0":"0"
+
+MPI add #3 0 (null) + positive
+mbedtls_mpi_add_mpi:"":"7b":"7b"
+
+MPI add #4 0 (null) + negative
+mbedtls_mpi_add_mpi:"":"-7b":"-7b"
+
+MPI add #5 0 (null) + positive with leading zero limb
+mbedtls_mpi_add_mpi:"":"0000000000000000123":"123"
+
+MPI add #6 0 (null) + negative with leading zero limb
+mbedtls_mpi_add_mpi:"":"-0000000000000000123":"-123"
+
+MPI add #7 0 (null) + large positive
+mbedtls_mpi_add_mpi:"":"1230000000000000000":"1230000000000000000"
+
+MPI add #8 0 (null) + large negative
+mbedtls_mpi_add_mpi:"":"-1230000000000000000":"-1230000000000000000"
+
+MPI add #9 0 (1 limb) + 0 (1 limb)
+mbedtls_mpi_add_mpi:"0":"0":"0"
+
+MPI add #10 0 (1 limb) + positive
+mbedtls_mpi_add_mpi:"0":"7b":"7b"
+
+MPI add #11 0 (1 limb) + negative
+mbedtls_mpi_add_mpi:"0":"-7b":"-7b"
+
+MPI add #12 0 (1 limb) + positive with leading zero limb
+mbedtls_mpi_add_mpi:"0":"0000000000000000123":"123"
+
+MPI add #13 0 (1 limb) + negative with leading zero limb
+mbedtls_mpi_add_mpi:"0":"-0000000000000000123":"-123"
+
+MPI add #14 0 (1 limb) + large positive
+mbedtls_mpi_add_mpi:"0":"1230000000000000000":"1230000000000000000"
+
+MPI add #15 0 (1 limb) + large negative
+mbedtls_mpi_add_mpi:"0":"-1230000000000000000":"-1230000000000000000"
+
+MPI add #16 positive + positive
+mbedtls_mpi_add_mpi:"7b":"7b":"f6"
+
+MPI add #17 positive + negative
+mbedtls_mpi_add_mpi:"7b":"-7b":"0"
+
+MPI add #18 positive + positive with leading zero limb
+mbedtls_mpi_add_mpi:"7b":"0000000000000000123":"19e"
+
+MPI add #19 positive + negative with leading zero limb
+mbedtls_mpi_add_mpi:"7b":"-0000000000000000123":"-a8"
+
+MPI add #20 positive + large positive
+mbedtls_mpi_add_mpi:"7b":"1230000000000000000":"123000000000000007b"
+
+MPI add #21 positive + large negative
+mbedtls_mpi_add_mpi:"7b":"-1230000000000000000":"-122ffffffffffffff85"
+
+MPI add #22 negative + negative
+mbedtls_mpi_add_mpi:"-7b":"-7b":"-f6"
+
+MPI add #23 negative + positive with leading zero limb
+mbedtls_mpi_add_mpi:"-7b":"0000000000000000123":"a8"
+
+MPI add #24 negative + negative with leading zero limb
+mbedtls_mpi_add_mpi:"-7b":"-0000000000000000123":"-19e"
+
+MPI add #25 negative + large positive
+mbedtls_mpi_add_mpi:"-7b":"1230000000000000000":"122ffffffffffffff85"
+
+MPI add #26 negative + large negative
+mbedtls_mpi_add_mpi:"-7b":"-1230000000000000000":"-123000000000000007b"
+
+MPI add #27 positive with leading zero limb + positive with leading zero limb
+mbedtls_mpi_add_mpi:"0000000000000000123":"0000000000000000123":"246"
+
+MPI add #28 positive with leading zero limb + negative with leading zero limb
+mbedtls_mpi_add_mpi:"0000000000000000123":"-0000000000000000123":"0"
+
+MPI add #29 positive with leading zero limb + large positive
+mbedtls_mpi_add_mpi:"0000000000000000123":"1230000000000000000":"1230000000000000123"
+
+MPI add #30 positive with leading zero limb + large negative
+mbedtls_mpi_add_mpi:"0000000000000000123":"-1230000000000000000":"-122fffffffffffffedd"
+
+MPI add #31 negative with leading zero limb + negative with leading zero limb
+mbedtls_mpi_add_mpi:"-0000000000000000123":"-0000000000000000123":"-246"
+
+MPI add #32 negative with leading zero limb + large positive
+mbedtls_mpi_add_mpi:"-0000000000000000123":"1230000000000000000":"122fffffffffffffedd"
+
+MPI add #33 negative with leading zero limb + large negative
+mbedtls_mpi_add_mpi:"-0000000000000000123":"-1230000000000000000":"-1230000000000000123"
+
+MPI add #34 large positive + large positive
+mbedtls_mpi_add_mpi:"1230000000000000000":"1230000000000000000":"2460000000000000000"
+
+MPI add #35 large positive + large negative
+mbedtls_mpi_add_mpi:"1230000000000000000":"-1230000000000000000":"0"
+
+MPI add #36 large negative + large negative
+mbedtls_mpi_add_mpi:"-1230000000000000000":"-1230000000000000000":"-2460000000000000000"
+
+MPI add #37 large positive + large positive
+mbedtls_mpi_add_mpi:"1c67967269c6":"1c67967269c6":"38cf2ce4d38c"
+
+MPI add #38 large positive + positive
+mbedtls_mpi_add_mpi:"1c67967269c6":"9cde3":"1c67967c37a9"
+
+MPI add #39 large positive + large negative
+mbedtls_mpi_add_mpi:"1c67967269c6":"-1c67967269c6":"0"
+
+MPI add #40 large positive + negative
+mbedtls_mpi_add_mpi:"1c67967269c6":"-9cde3":"1c6796689be3"
+
+MPI add #41 positive + positive
+mbedtls_mpi_add_mpi:"9cde3":"9cde3":"139bc6"
+
+MPI add #42 positive + large negative
+mbedtls_mpi_add_mpi:"9cde3":"-1c67967269c6":"-1c6796689be3"
+
+MPI add #43 positive + negative
+mbedtls_mpi_add_mpi:"9cde3":"-9cde3":"0"
+
+MPI add #44 large negative + large negative
+mbedtls_mpi_add_mpi:"-1c67967269c6":"-1c67967269c6":"-38cf2ce4d38c"
+
+MPI add #45 large negative + negative
+mbedtls_mpi_add_mpi:"-1c67967269c6":"-9cde3":"-1c67967c37a9"
+
+MPI add #46 negative + negative
+mbedtls_mpi_add_mpi:"-9cde3":"-9cde3":"-139bc6"
+
+MPI compare #1 0 (null) == 0 (null)
+mbedtls_mpi_cmp_mpi:"":"":0
+
+MPI compare #2 0 (null) == 0 (1 limb)
+mbedtls_mpi_cmp_mpi:"":"0":0
+
+MPI compare #3 0 (null) < positive
+mbedtls_mpi_cmp_mpi:"":"7b":-1
+
+MPI compare #4 0 (null) > negative
+mbedtls_mpi_cmp_mpi:"":"-7b":1
+
+MPI compare #5 0 (null) < positive with leading zero limb
+mbedtls_mpi_cmp_mpi:"":"0000000000000000123":-1
+
+MPI compare #6 0 (null) > negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"":"-0000000000000000123":1
+
+MPI compare #7 0 (null) < large positive
+mbedtls_mpi_cmp_mpi:"":"1230000000000000000":-1
+
+MPI compare #8 0 (null) > large negative
+mbedtls_mpi_cmp_mpi:"":"-1230000000000000000":1
+
+MPI compare #9 0 (1 limb) == 0 (1 limb)
+mbedtls_mpi_cmp_mpi:"0":"0":0
+
+MPI compare #10 0 (1 limb) < positive
+mbedtls_mpi_cmp_mpi:"0":"7b":-1
+
+MPI compare #11 0 (1 limb) > negative
+mbedtls_mpi_cmp_mpi:"0":"-7b":1
+
+MPI compare #12 0 (1 limb) < positive with leading zero limb
+mbedtls_mpi_cmp_mpi:"0":"0000000000000000123":-1
+
+MPI compare #13 0 (1 limb) > negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"0":"-0000000000000000123":1
+
+MPI compare #14 0 (1 limb) < large positive
+mbedtls_mpi_cmp_mpi:"0":"1230000000000000000":-1
+
+MPI compare #15 0 (1 limb) > large negative
+mbedtls_mpi_cmp_mpi:"0":"-1230000000000000000":1
+
+MPI compare #16 positive == positive
+mbedtls_mpi_cmp_mpi:"7b":"7b":0
+
+MPI compare #17 positive > negative
+mbedtls_mpi_cmp_mpi:"7b":"-7b":1
+
+MPI compare #18 positive < positive with leading zero limb
+mbedtls_mpi_cmp_mpi:"7b":"0000000000000000123":-1
+
+MPI compare #19 positive > negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"7b":"-0000000000000000123":1
+
+MPI compare #20 positive < large positive
+mbedtls_mpi_cmp_mpi:"7b":"1230000000000000000":-1
+
+MPI compare #21 positive > large negative
+mbedtls_mpi_cmp_mpi:"7b":"-1230000000000000000":1
+
+MPI compare #22 negative == negative
+mbedtls_mpi_cmp_mpi:"-7b":"-7b":0
+
+MPI compare #23 negative < positive with leading zero limb
+mbedtls_mpi_cmp_mpi:"-7b":"0000000000000000123":-1
+
+MPI compare #24 negative > negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"-7b":"-0000000000000000123":1
+
+MPI compare #25 negative < large positive
+mbedtls_mpi_cmp_mpi:"-7b":"1230000000000000000":-1
+
+MPI compare #26 negative > large negative
+mbedtls_mpi_cmp_mpi:"-7b":"-1230000000000000000":1
+
+MPI compare #27 positive with leading zero limb == positive with leading zero limb
+mbedtls_mpi_cmp_mpi:"0000000000000000123":"0000000000000000123":0
+
+MPI compare #28 positive with leading zero limb > negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"0000000000000000123":"-0000000000000000123":1
+
+MPI compare #29 positive with leading zero limb < large positive
+mbedtls_mpi_cmp_mpi:"0000000000000000123":"1230000000000000000":-1
+
+MPI compare #30 positive with leading zero limb > large negative
+mbedtls_mpi_cmp_mpi:"0000000000000000123":"-1230000000000000000":1
+
+MPI compare #31 negative with leading zero limb == negative with leading zero limb
+mbedtls_mpi_cmp_mpi:"-0000000000000000123":"-0000000000000000123":0
+
+MPI compare #32 negative with leading zero limb < large positive
+mbedtls_mpi_cmp_mpi:"-0000000000000000123":"1230000000000000000":-1
+
+MPI compare #33 negative with leading zero limb > large negative
+mbedtls_mpi_cmp_mpi:"-0000000000000000123":"-1230000000000000000":1
+
+MPI compare #34 large positive == large positive
+mbedtls_mpi_cmp_mpi:"1230000000000000000":"1230000000000000000":0
+
+MPI compare #35 large positive > large negative
+mbedtls_mpi_cmp_mpi:"1230000000000000000":"-1230000000000000000":1
+
+MPI compare #36 large negative == large negative
+mbedtls_mpi_cmp_mpi:"-1230000000000000000":"-1230000000000000000":0
+
+MPI compare #37 negative > negative
+mbedtls_mpi_cmp_mpi:"-2":"-3":1
+
+MPI compare #38 negative == negative
+mbedtls_mpi_cmp_mpi:"-2":"-2":0
+
+MPI compare #39 positive < positive
+mbedtls_mpi_cmp_mpi:"2b4":"2b5":-1
+
+MPI compare #40 positive < positive
+mbedtls_mpi_cmp_mpi:"2b5":"2b6":-1
+
+MPI compare (abs) #1 0 (null) == 0 (null)
+mbedtls_mpi_cmp_abs:"":"":0
+
+MPI compare (abs) #2 0 (null) == 0 (1 limb)
+mbedtls_mpi_cmp_abs:"":"0":0
+
+MPI compare (abs) #3 0 (null) < positive
+mbedtls_mpi_cmp_abs:"":"7b":-1
+
+MPI compare (abs) #4 0 (null) < positive
+mbedtls_mpi_cmp_abs:"":"7b":-1
+
+MPI compare (abs) #5 0 (null) < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"":"0000000000000000123":-1
+
+MPI compare (abs) #6 0 (null) < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"":"0000000000000000123":-1
+
+MPI compare (abs) #7 0 (null) < large positive
+mbedtls_mpi_cmp_abs:"":"1230000000000000000":-1
+
+MPI compare (abs) #8 0 (null) < large positive
+mbedtls_mpi_cmp_abs:"":"1230000000000000000":-1
+
+MPI compare (abs) #9 0 (1 limb) == 0 (1 limb)
+mbedtls_mpi_cmp_abs:"0":"0":0
+
+MPI compare (abs) #10 0 (1 limb) < positive
+mbedtls_mpi_cmp_abs:"0":"7b":-1
+
+MPI compare (abs) #11 0 (1 limb) < positive
+mbedtls_mpi_cmp_abs:"0":"7b":-1
+
+MPI compare (abs) #12 0 (1 limb) < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"0":"0000000000000000123":-1
+
+MPI compare (abs) #13 0 (1 limb) < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"0":"0000000000000000123":-1
+
+MPI compare (abs) #14 0 (1 limb) < large positive
+mbedtls_mpi_cmp_abs:"0":"1230000000000000000":-1
+
+MPI compare (abs) #15 0 (1 limb) < large positive
+mbedtls_mpi_cmp_abs:"0":"1230000000000000000":-1
+
+MPI compare (abs) #16 positive == positive
+mbedtls_mpi_cmp_abs:"7b":"7b":0
+
+MPI compare (abs) #17 positive == positive
+mbedtls_mpi_cmp_abs:"7b":"7b":0
+
+MPI compare (abs) #18 positive < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"7b":"0000000000000000123":-1
+
+MPI compare (abs) #19 positive < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"7b":"0000000000000000123":-1
+
+MPI compare (abs) #20 positive < large positive
+mbedtls_mpi_cmp_abs:"7b":"1230000000000000000":-1
+
+MPI compare (abs) #21 positive < large positive
+mbedtls_mpi_cmp_abs:"7b":"1230000000000000000":-1
+
+MPI compare (abs) #22 positive == positive
+mbedtls_mpi_cmp_abs:"7b":"7b":0
+
+MPI compare (abs) #23 positive < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"7b":"0000000000000000123":-1
+
+MPI compare (abs) #24 positive < positive with leading zero limb
+mbedtls_mpi_cmp_abs:"7b":"0000000000000000123":-1
+
+MPI compare (abs) #25 positive < large positive
+mbedtls_mpi_cmp_abs:"7b":"1230000000000000000":-1
+
+MPI compare (abs) #26 positive < large positive
+mbedtls_mpi_cmp_abs:"7b":"1230000000000000000":-1
+
+MPI compare (abs) #27 positive with leading zero limb == positive with leading zero limb
+mbedtls_mpi_cmp_abs:"0000000000000000123":"0000000000000000123":0
+
+MPI compare (abs) #28 positive with leading zero limb == positive with leading zero limb
+mbedtls_mpi_cmp_abs:"0000000000000000123":"0000000000000000123":0
+
+MPI compare (abs) #29 positive with leading zero limb < large positive
+mbedtls_mpi_cmp_abs:"0000000000000000123":"1230000000000000000":-1
+
+MPI compare (abs) #30 positive with leading zero limb < large positive
+mbedtls_mpi_cmp_abs:"0000000000000000123":"1230000000000000000":-1
+
+MPI compare (abs) #31 positive with leading zero limb == positive with leading zero limb
+mbedtls_mpi_cmp_abs:"0000000000000000123":"0000000000000000123":0
+
+MPI compare (abs) #32 positive with leading zero limb < large positive
+mbedtls_mpi_cmp_abs:"0000000000000000123":"1230000000000000000":-1
+
+MPI compare (abs) #33 positive with leading zero limb < large positive
+mbedtls_mpi_cmp_abs:"0000000000000000123":"1230000000000000000":-1
+
+MPI compare (abs) #34 large positive == large positive
+mbedtls_mpi_cmp_abs:"1230000000000000000":"1230000000000000000":0
+
+MPI compare (abs) #35 large positive == large positive
+mbedtls_mpi_cmp_abs:"1230000000000000000":"1230000000000000000":0
+
+MPI compare (abs) #36 large positive == large positive
+mbedtls_mpi_cmp_abs:"1230000000000000000":"1230000000000000000":0
+
+MPI compare (abs) #37 positive < positive
+mbedtls_mpi_cmp_abs:"2":"3":-1
+
+MPI compare (abs) #38 positive == positive
+mbedtls_mpi_cmp_abs:"2":"2":0
+
+MPI compare (abs) #39 positive < positive
+mbedtls_mpi_cmp_abs:"2b4":"2b5":-1
+
+MPI compare (abs) #40 positive < positive
+mbedtls_mpi_cmp_abs:"2b5":"2b6":-1
+
+# End of automatically generated file.