r"""Importing this file must **not** initialize CUDA context. test_distributed
relies on this assumption to properly run. This means that when this is imported
no CUDA calls shall be made, including torch.cuda.device_count(), etc.

torch.testing._internal.common_cuda.py can freely initialize CUDA context when imported.
"""

import sys
import os
import platform
import re
import gc
import types
import math
from functools import partial
import inspect
import io
import copy
import operator
import argparse
import unittest
import warnings
import random
import contextlib
import shutil
import threading
from pathlib import Path
import socket
import subprocess
import time
from collections.abc import Sequence, Mapping
from contextlib import contextmanager, closing
from functools import wraps
from itertools import product
from copy import deepcopy
import tempfile
import json
import __main__  # type: ignore[import]
import errno
import ctypes
from typing import Any, Dict, Iterable, Iterator, Optional, Union, List, Tuple, Type, TypeVar
from unittest.mock import MagicMock

import numpy as np

import expecttest
from torch.testing._comparison import (
    assert_equal as assert_equal,
    Pair,
    TensorLikePair,
    BooleanPair,
    NumberPair,
    UnsupportedInputs,
    NonePair,
    ErrorMeta,
)

import torch
import torch.cuda
from torch.testing import make_tensor
from torch._utils_internal import get_writable_path
from torch._six import string_classes
from torch import Tensor
import torch.backends.cudnn
import torch.backends.mkl
from enum import Enum
from statistics import mean
import functools
from .composite_compliance import no_dispatch
from torch.testing._internal.common_dtype import get_all_dtypes
from torch.nn import ModuleList, ModuleDict, Sequential, ParameterList, ParameterDict
from torch._C import ScriptList, ScriptDict  # type: ignore[attr-defined]

torch.backends.disable_global_flags()

FILE_SCHEMA = "file://"
if sys.platform == 'win32':
    FILE_SCHEMA = "file:///"

# Environment variable `IN_CI` is set in `.jenkins/common.sh`.
IS_IN_CI = os.getenv('IN_CI') == '1'
IS_SANDCASTLE = os.getenv('SANDCASTLE') == '1' or os.getenv('TW_JOB_USER') == 'sandcastle'
IS_FBCODE = os.getenv('PYTORCH_TEST_FBCODE') == '1'
IS_REMOTE_GPU = os.getenv('PYTORCH_TEST_REMOTE_GPU') == '1'

RETRY_TEST_CASES = os.getenv('PYTORCH_RETRY_TEST_CASES') == '1'
OVERRIDE_FLAKY_SIGNAL = os.getenv('PYTORCH_OVERRIDE_FLAKY_SIGNAL') == '1'
MAX_NUM_RETRIES = 3

DISABLED_TESTS_FILE = '.pytorch-disabled-tests.json'
SLOW_TESTS_FILE = '.pytorch-slow-tests.json'

slow_tests_dict: Optional[Dict[str, Any]] = None
disabled_tests_dict: Optional[Dict[str, Any]] = None

NATIVE_DEVICES = ('cpu', 'cuda', 'meta')

class _TestParametrizer(object):
    """
    Decorator class for parametrizing a test function, yielding a set of new tests spawned
    from the original generic test, each specialized for a specific set of test inputs. For
    example, parametrizing a test across the set of ops will result in a test function per op.

    The decision of how to parametrize / what to parametrize over is intended to be implemented
    by each derived class.

    In the details, the decorator adds a 'parametrize_fn' property to the test function that is called
    during device-specific test instantiation performed in instantiate_device_type_tests(). Because of this,
    there is no need to parametrize over device type, as that is already handled separately.

    If the decorator is applied to a test function that already has a 'parametrize_fn' property, a new
    composite 'parametrize_fn' will be created that generates tests with the product of the parameters
    generated by the old and new parametrize_fns. This allows for convenient composability of decorators.
    """
    def _parametrize_test(self, test, generic_cls, device_cls):
        """
        Parametrizes the given test function across whatever dimension is specified by the derived class.
        Tests can be parametrized over any arbitrary dimension or combination of dimensions, such as all
        ops, all modules, or all ops + their associated dtypes.

        Args:
            test (fn): Test function to parametrize over
            generic_cls (class): Generic test class object containing tests (e.g. TestFoo)
            device_cls (class): Device-specialized test class object (e.g. TestFooCPU); set to None
                if the tests are not part of a device-specific set

        Returns:
            Generator object returning 3-tuples of:
                test (fn): Parametrized test function; must support a device arg and args for any params
                test_name (str): Parametrized suffix for the test (e.g. opname_int64); will be appended to
                    the base name of the test
                param_kwargs (dict): Param kwargs to pass to the test (e.g. {'op': 'add', 'dtype': torch.int64})
        """
        raise NotImplementedError

    def __call__(self, fn):
        if hasattr(fn, 'parametrize_fn'):
            # Do composition with the product of args.
            old_parametrize_fn = fn.parametrize_fn
            new_parametrize_fn = self._parametrize_test
            fn.parametrize_fn = compose_parametrize_fns(old_parametrize_fn, new_parametrize_fn)
        else:
            fn.parametrize_fn = self._parametrize_test
        return fn


def compose_parametrize_fns(old_parametrize_fn, new_parametrize_fn):
    """
    Returns a parametrize_fn that parametrizes over the product of the parameters handled
    by the given parametrize_fns. Each given parametrize_fn should each have the signature
    f(test, generic_cls, device_cls).

    The test names will be a combination of the names produced by the parametrize_fns in
    "<new_name>_<old_name>" order. This order is done to match intuition for constructed names
    when composing multiple decorators; the names will be built in top to bottom order when stacking
    parametrization decorators.

    Args:
        old_parametrize_fn (callable) - First parametrize_fn to compose.
        new_parametrize_fn (callable) - Second parametrize_fn to compose.
    """

    def composite_fn(test, generic_cls, device_cls,
                     old_parametrize_fn=old_parametrize_fn,
                     new_parametrize_fn=new_parametrize_fn):
        old_tests = [(test, test_name, param_kwargs) for (test, test_name, param_kwargs) in
                     old_parametrize_fn(test, generic_cls, device_cls)]
        for (old_test, old_test_name, old_param_kwargs) in old_tests:
            for (new_test, new_test_name, new_param_kwargs) in \
                    new_parametrize_fn(old_test, generic_cls, device_cls):
                redundant_params = set(old_param_kwargs.keys()).intersection(new_param_kwargs.keys())
                if redundant_params:
                    raise RuntimeError('Parametrization over the same parameter by multiple parametrization '
                                       'decorators is not supported. For test "{}", the following parameters '
                                       'are handled multiple times: {}'.format(
                                           test.__name__, redundant_params))
                full_param_kwargs = {**old_param_kwargs, **new_param_kwargs}
                merged_test_name = '{}{}{}'.format(new_test_name,
                                                   '_' if old_test_name != '' and new_test_name != '' else '',
                                                   old_test_name)
                yield (new_test, merged_test_name, full_param_kwargs)

    return composite_fn


def instantiate_parametrized_tests(generic_cls):
    """
    Instantiates tests that have been decorated with a parametrize_fn. This is generally performed by a
    decorator subclass of _TestParametrizer. The generic test will be replaced on the test class by
    parametrized tests with specialized names.

    Args:
        generic_cls (class): Generic test class object containing tests (e.g. TestFoo)
    """
    for attr_name in tuple(dir(generic_cls)):
        class_attr = getattr(generic_cls, attr_name)
        if not hasattr(class_attr, 'parametrize_fn'):
            continue

        # Remove the generic test from the test class.
        delattr(generic_cls, attr_name)

        # Add parametrized tests to the test class.
        def instantiate_test_helper(cls, name, test, param_kwargs):
            @wraps(test)
            def instantiated_test(self, param_kwargs=param_kwargs):
                test(self, **param_kwargs)

            assert not hasattr(generic_cls, name), "Redefinition of test {0}".format(name)
            setattr(generic_cls, name, instantiated_test)

        for (test, test_suffix, param_kwargs) in class_attr.parametrize_fn(
                class_attr, generic_cls=generic_cls, device_cls=None):
            full_name = '{}_{}'.format(test.__name__, test_suffix)
            instantiate_test_helper(cls=generic_cls, name=full_name, test=test, param_kwargs=param_kwargs)


class subtest(object):
    """
    Explicit subtest case for use with test parametrization.
    Allows for explicit naming of individual subtest cases as well as applying
    decorators to the parametrized test.

    Args:
        arg_values (iterable): Iterable of arg values (e.g. range(10)) or
            tuples of arg values (e.g. [(1, 2), (3, 4)]).
        name (str): Optional name to use for the test.
        decorators (iterable): Iterable of decorators to apply to the generated test.
    """
    __slots__ = ['arg_values', 'name', 'decorators']

    def __init__(self, arg_values, name=None, decorators=None):
        self.arg_values = arg_values
        self.name = name
        self.decorators = decorators if decorators else []


class parametrize(_TestParametrizer):
    """
    Decorator for applying generic test parametrizations.

    The interface for this decorator is modeled after `@pytest.mark.parametrize`.
    Basic usage between this decorator and pytest's is identical. The first argument
    should be a string containing comma-separated names of parameters for the test, and
    the second argument should be an iterable returning values or tuples of values for
    the case of multiple parameters.

    Beyond this basic usage, the decorator provides some additional functionality that
    pytest does not.

    1. Parametrized tests end up as generated test functions on unittest test classes.
    Since this differs from how pytest works, this decorator takes on the additional
    responsibility of naming these test functions. The default test names consists of
    the test's base name followed by each parameter name + value (e.g. "test_bar_x_1_y_foo"),
    but custom names can be defined using `name_fn` or the `subtest` structure (see below).

    2. The decorator specially handles parameter values of type `subtest`, which allows for
    more fine-grained control over both test naming and test execution. In particular, it can
    be used to tag subtests with explicit test names or apply arbitrary decorators (see examples
    below).

    Examples::

        @parametrize("x", range(5))
        def test_foo(self, x):
            ...

        @parametrize("x,y", [(1, 'foo'), (2, 'bar'), (3, 'baz')])
        def test_bar(self, x, y):
            ...

        @parametrize("x,y", [(1, 'foo'), (2, 'bar'), (3, 'baz')],
                     name_fn=lambda x, y: '{}_{}'.format(x, y))
        def test_bar_custom_names(self, x, y):
            ...

        @parametrize("x, y", [subtest((1, 2), name='double'),
                              subtest((1, 3), name='triple', decorators=[unittest.expectedFailure]),
                              subtest((1, 4), name='quadruple')])
        def test_baz(self, x, y):
            ...

    Args:
        arg_str (str): String of arg names separate by commas (e.g. "x,y").
        arg_values (iterable): Iterable of arg values (e.g. range(10)) or
            tuples of arg values (e.g. [(1, 2), (3, 4)]).
        name_fn (callable): Optional function that takes in parameters and returns subtest name.
    """
    def __init__(self, arg_str, arg_values, name_fn=None):
        self.arg_names = arg_str.split(',')
        self.arg_values = arg_values
        self.name_fn = name_fn

    def _formatted_str_repr(self, name, value):
        """ Returns a string representation for the given arg that is suitable for use in test function names. """
        if isinstance(value, torch.dtype):
            return dtype_name(value)
        elif isinstance(value, torch.device):
            return str(value)
        # Can't use isinstance as it would cause a circular import
        elif value.__class__.__name__ == 'OpInfo' or value.__class__.__name__ == 'ModuleInfo':
            return value.formatted_name
        else:
            # Include name and value separated by underscore.
            return '{}_{}'.format(name, str(value).replace('.', '_'))

    def _default_subtest_name(self, values):
        return '_'.join([self._formatted_str_repr(a, v) for a, v in zip(self.arg_names, values)])

    def _get_subtest_name(self, values, explicit_name=None):
        if explicit_name:
            subtest_name = explicit_name
        elif self.name_fn:
            subtest_name = self.name_fn(*values)
        else:
            subtest_name = self._default_subtest_name(values)
        return subtest_name

    def _parametrize_test(self, test, generic_cls, device_cls):
        if len(self.arg_names) == 0:
            # No additional parameters needed for the test.
            test_name = ''
            yield (test, test_name, {})
        else:
            # Each "values" item is expected to be either:
            # * A tuple of values with one for each arg. For a single arg, a single item is expected.
            # * A subtest instance with arg_values matching the previous.
            for values in self.arg_values:
                maybe_name = None
                if isinstance(values, subtest):
                    sub = values
                    values = sub.arg_values
                    maybe_name = sub.name

                    # Apply decorators.
                    @wraps(test)
                    def test_wrapper(*args, **kwargs):
                        return test(*args, **kwargs)

                    for decorator in sub.decorators:
                        test_wrapper = decorator(test_wrapper)

                    gen_test = test_wrapper
                else:
                    gen_test = test

                values = list(values) if len(self.arg_names) > 1 else [values]
                if len(values) != len(self.arg_names):
                    raise RuntimeError('Expected # values == # arg names, but got: {} '
                                       'values and {} names for test "{}"'.format(
                                           len(values), len(self.arg_names), test.__name__))

                param_kwargs = {
                    name: value for name, value in zip(self.arg_names, values)
                }

                test_name = self._get_subtest_name(values, explicit_name=maybe_name)
                if '.' in test_name:
                    raise RuntimeError('Test name cannot contain periods, but got: {}'.format(test_name))

                yield (gen_test, test_name, param_kwargs)


class ProfilingMode(Enum):
    LEGACY = 1
    SIMPLE = 2
    PROFILING = 3

def cppProfilingFlagsToProfilingMode():
    old_prof_exec_state = torch._C._jit_set_profiling_executor(True)
    old_prof_mode_state = torch._C._jit_set_profiling_mode(True)
    torch._C._jit_set_profiling_executor(old_prof_exec_state)
    torch._C._jit_set_profiling_mode(old_prof_mode_state)

    if old_prof_exec_state:
        if old_prof_mode_state:
            return ProfilingMode.PROFILING
        else:
            return ProfilingMode.SIMPLE
    else:
        return ProfilingMode.LEGACY

@contextmanager
def enable_profiling_mode_for_profiling_tests():
    if GRAPH_EXECUTOR == ProfilingMode.PROFILING:
        old_prof_exec_state = torch._C._jit_set_profiling_executor(True)
        old_prof_mode_state = torch._C._jit_set_profiling_mode(True)
    try:
        yield
    finally:
        if GRAPH_EXECUTOR == ProfilingMode.PROFILING:
            torch._C._jit_set_profiling_executor(old_prof_exec_state)
            torch._C._jit_set_profiling_mode(old_prof_mode_state)

@contextmanager
def enable_profiling_mode():
    old_prof_exec_state = torch._C._jit_set_profiling_executor(True)
    old_prof_mode_state = torch._C._jit_set_profiling_mode(True)
    try:
        yield
    finally:
        torch._C._jit_set_profiling_executor(old_prof_exec_state)
        torch._C._jit_set_profiling_mode(old_prof_mode_state)

@contextmanager
def num_profiled_runs(num_runs):
    old_num_runs = torch._C._jit_set_num_profiled_runs(num_runs)
    try:
        yield
    finally:
        torch._C._jit_set_num_profiled_runs(old_num_runs)

func_call = torch._C.ScriptFunction.__call__
meth_call = torch._C.ScriptMethod.__call__

def prof_callable(callable, *args, **kwargs):
    if 'profile_and_replay' in kwargs:
        del kwargs['profile_and_replay']
        if GRAPH_EXECUTOR == ProfilingMode.PROFILING:
            with enable_profiling_mode_for_profiling_tests():
                callable(*args, **kwargs)
                return callable(*args, **kwargs)

    return callable(*args, **kwargs)

def prof_func_call(*args, **kwargs):
    return prof_callable(func_call, *args, **kwargs)

def prof_meth_call(*args, **kwargs):
    return prof_callable(meth_call, *args, **kwargs)

# TODO fix when https://github.com/python/mypy/issues/2427 is address
torch._C.ScriptFunction.__call__ = prof_func_call  # type: ignore[assignment]
torch._C.ScriptMethod.__call__ = prof_meth_call  # type: ignore[assignment]

def _get_test_report_path():
    # allow users to override the test file location. We need this
    # because the distributed tests run the same test file multiple
    # times with different configurations.
    override = os.environ.get('TEST_REPORT_SOURCE_OVERRIDE')
    test_source = override if override is not None else 'python-unittest'
    return os.path.join('test-reports', test_source)


parser = argparse.ArgumentParser()
parser.add_argument('--subprocess', action='store_true',
                    help='whether to run each test in a subprocess')
parser.add_argument('--seed', type=int, default=1234)
parser.add_argument('--accept', action='store_true')
parser.add_argument('--jit_executor', type=str)
parser.add_argument('--repeat', type=int, default=1)
parser.add_argument('--test_bailouts', action='store_true')
parser.add_argument('--save-xml', nargs='?', type=str,
                    const=_get_test_report_path(),
                    default=_get_test_report_path() if IS_IN_CI else None)
parser.add_argument('--discover-tests', action='store_true')
parser.add_argument('--log-suffix', type=str, default="")
parser.add_argument('--run-parallel', type=int, default=1)
parser.add_argument('--import-slow-tests', type=str, nargs='?', const=SLOW_TESTS_FILE)
parser.add_argument('--import-disabled-tests', type=str, nargs='?', const=DISABLED_TESTS_FILE)

# Only run when -h or --help flag is active to display both unittest and parser help messages.
def run_unittest_help(argv):
    unittest.main(argv=argv)

if '-h' in sys.argv or '--help' in sys.argv:
    help_thread = threading.Thread(target=run_unittest_help, args=(sys.argv,))
    help_thread.start()
    help_thread.join()

args, remaining = parser.parse_known_args()
if args.jit_executor == 'legacy':
    GRAPH_EXECUTOR = ProfilingMode.LEGACY
elif args.jit_executor == 'profiling':
    GRAPH_EXECUTOR = ProfilingMode.PROFILING
elif args.jit_executor == 'simple':
    GRAPH_EXECUTOR = ProfilingMode.SIMPLE
else:
    # infer flags based on the default settings
    GRAPH_EXECUTOR = cppProfilingFlagsToProfilingMode()


IMPORT_SLOW_TESTS = args.import_slow_tests
IMPORT_DISABLED_TESTS = args.import_disabled_tests
LOG_SUFFIX = args.log_suffix
RUN_PARALLEL = args.run_parallel
TEST_BAILOUTS = args.test_bailouts
TEST_DISCOVER = args.discover_tests
TEST_IN_SUBPROCESS = args.subprocess
TEST_SAVE_XML = args.save_xml
REPEAT_COUNT = args.repeat
SEED = args.seed
if not expecttest.ACCEPT:
    expecttest.ACCEPT = args.accept
UNITTEST_ARGS = [sys.argv[0]] + remaining
torch.manual_seed(SEED)

# CI Prefix path used only on CI environment
CI_TEST_PREFIX = str(Path(os.getcwd()))

def wait_for_process(p):
    try:
        return p.wait()
    except KeyboardInterrupt:
        # Give `p` a chance to handle KeyboardInterrupt. Without this,
        # `pytest` can't print errors it collected so far upon KeyboardInterrupt.
        exit_status = p.wait(timeout=5)
        if exit_status is not None:
            return exit_status
        else:
            p.kill()
            raise
    except:  # noqa: B001,E722, copied from python core library
        p.kill()
        raise
    finally:
        # Always call p.wait() to ensure exit
        p.wait()

def shell(command, cwd=None, env=None):
    sys.stdout.flush()
    sys.stderr.flush()
    # The following cool snippet is copied from Py3 core library subprocess.call
    # only the with
    #   1. `except KeyboardInterrupt` block added for SIGINT handling.
    #   2. In Py2, subprocess.Popen doesn't return a context manager, so we do
    #      `p.wait()` in a `final` block for the code to be portable.
    #
    # https://github.com/python/cpython/blob/71b6c1af727fbe13525fb734568057d78cea33f3/Lib/subprocess.py#L309-L323
    assert not isinstance(command, torch._six.string_classes), "Command to shell should be a list or tuple of tokens"
    p = subprocess.Popen(command, universal_newlines=True, cwd=cwd, env=env)
    return wait_for_process(p)


def discover_test_cases_recursively(suite_or_case):
    if isinstance(suite_or_case, unittest.TestCase):
        return [suite_or_case]
    rc = []
    for element in suite_or_case:
        print(element)
        rc.extend(discover_test_cases_recursively(element))
    return rc

def get_test_names(test_cases):
    return ['.'.join(case.id().split('.')[-2:]) for case in test_cases]

def _print_test_names():
    suite = unittest.TestLoader().loadTestsFromModule(__main__)
    test_cases = discover_test_cases_recursively(suite)
    for name in get_test_names(test_cases):
        print(name)

def chunk_list(lst, nchunks):
    return [lst[i::nchunks] for i in range(nchunks)]

# sanitize filename e.g., distributed/pipeline/sync/skip/test_api.py -> distributed.pipeline.sync.skip.test_api
def sanitize_test_filename(filename):
    # inspect.getfile returns absolute path in some CI jobs, converting it to relative path if needed
    if filename.startswith(CI_TEST_PREFIX):
        filename = filename[len(CI_TEST_PREFIX) + 1:]
    strip_py = re.sub(r'.py$', '', filename)
    return re.sub('/', r'.', strip_py)

def lint_test_case_extension(suite):
    succeed = True
    for test_case_or_suite in suite:
        test_case = test_case_or_suite
        if isinstance(test_case_or_suite, unittest.TestSuite):
            first_test = test_case_or_suite._tests[0] if len(test_case_or_suite._tests) > 0 else None
            if first_test is not None and isinstance(first_test, unittest.TestSuite):
                return succeed and lint_test_case_extension(test_case_or_suite)
            test_case = first_test

        if test_case is not None:
            test_class = test_case.id().split('.', 1)[1].split('.')[0]
            if not isinstance(test_case, TestCase):
                err = "This test class should extend from torch.testing._internal.common_utils.TestCase but it doesn't."
                print(f"{test_class} - failed. {err}")
                succeed = False
    return succeed

def run_tests(argv=UNITTEST_ARGS):
    # import test files.
    if IMPORT_SLOW_TESTS:
        if os.path.exists(IMPORT_SLOW_TESTS):
            global slow_tests_dict
            with open(IMPORT_SLOW_TESTS, 'r') as fp:
                slow_tests_dict = json.load(fp)
        else:
            print(f'[WARNING] slow test file provided but not found: {IMPORT_SLOW_TESTS}')
    if IMPORT_DISABLED_TESTS:
        if os.path.exists(IMPORT_DISABLED_TESTS):
            global disabled_tests_dict
            with open(IMPORT_DISABLED_TESTS, 'r') as fp:
                disabled_tests_dict = json.load(fp)
        else:
            print(f'[WARNING] disabled test file provided but not found: {IMPORT_DISABLED_TESTS}')
    # Determine the test launch mechanism
    if TEST_DISCOVER:
        _print_test_names()
        return

    # Before running the tests, lint to check that every test class extends from TestCase
    suite = unittest.TestLoader().loadTestsFromModule(__main__)
    if not lint_test_case_extension(suite):
        sys.exit(1)

    if TEST_IN_SUBPROCESS:
        failed_tests = []
        test_cases = discover_test_cases_recursively(suite)
        for case in test_cases:
            test_case_full_name = case.id().split('.', 1)[1]
            other_args = []
            if IMPORT_DISABLED_TESTS:
                other_args.append('--import-disabled-tests')
            if IMPORT_SLOW_TESTS:
                other_args.append('--import-slow-tests')
            cmd = [sys.executable] + [argv[0]] + other_args + argv[1:] + [test_case_full_name]
            string_cmd = " ".join(cmd)
            exitcode = shell(cmd)
            if exitcode != 0:
                # This is sort of hacky, but add on relevant env variables for distributed tests.
                if 'TestDistBackendWithSpawn' in test_case_full_name:
                    backend = os.environ.get("BACKEND", "")
                    world_size = os.environ.get("WORLD_SIZE", "")
                    env_prefix = f"BACKEND={backend} WORLD_SIZE={world_size}"
                    string_cmd = env_prefix + " " + string_cmd
                # Log the command to reproduce the failure.
                print(f"Test exited with non-zero exitcode {exitcode}. Command to reproduce: {string_cmd}")
                failed_tests.append(test_case_full_name)

        assert len(failed_tests) == 0, "{} unit test(s) failed:\n\t{}".format(
            len(failed_tests), '\n\t'.join(failed_tests))
    elif RUN_PARALLEL > 1:
        test_cases = discover_test_cases_recursively(suite)
        test_batches = chunk_list(get_test_names(test_cases), RUN_PARALLEL)
        processes = []
        for i in range(RUN_PARALLEL):
            command = [sys.executable] + argv + ['--log-suffix=-shard-{}'.format(i + 1)] + test_batches[i]
            processes.append(subprocess.Popen(command, universal_newlines=True))
        failed = False
        for p in processes:
            failed |= wait_for_process(p) != 0
        assert not failed, "Some test shards have failed"
    elif TEST_SAVE_XML is not None:
        # import here so that non-CI doesn't need xmlrunner installed
        import xmlrunner  # type: ignore[import]
        test_filename = sanitize_test_filename(inspect.getfile(sys._getframe(1)))
        test_report_path = TEST_SAVE_XML + LOG_SUFFIX
        test_report_path = os.path.join(test_report_path, test_filename)
        os.makedirs(test_report_path, exist_ok=True)
        verbose = '--verbose' in argv or '-v' in argv
        if verbose:
            print('Test results will be stored in {}'.format(test_report_path))
        unittest.main(argv=argv, testRunner=xmlrunner.XMLTestRunner(output=test_report_path, verbosity=2 if verbose else 1))
    elif REPEAT_COUNT > 1:
        for _ in range(REPEAT_COUNT):
            if not unittest.main(exit=False, argv=argv).result.wasSuccessful():
                sys.exit(-1)
    else:
        unittest.main(argv=argv)

IS_LINUX = sys.platform == "linux"
IS_WINDOWS = sys.platform == "win32"
IS_MACOS = sys.platform == "darwin"
IS_PPC = platform.machine() == "ppc64le"

def is_avx512_vnni_supported():
    if sys.platform != 'linux':
        return False
    with open("/proc/cpuinfo", encoding="ascii") as f:
        lines = f.read()
    return "vnni" in lines

IS_AVX512_VNNI_SUPPORTED = is_avx512_vnni_supported()

if IS_WINDOWS:
    @contextmanager
    def TemporaryFileName(*args, **kwargs):
        # Ideally we would like to not have to manually delete the file, but NamedTemporaryFile
        # opens the file, and it cannot be opened multiple times in Windows. To support Windows,
        # close the file after creation and try to remove it manually
        if 'delete' in kwargs:
            if kwargs['delete'] is not False:
                raise UserWarning("only TemporaryFileName with delete=False is supported on Windows.")
        else:
            kwargs['delete'] = False
        f = tempfile.NamedTemporaryFile(*args, **kwargs)
        try:
            f.close()
            yield f.name
        finally:
            os.unlink(f.name)
else:
    @contextmanager  # noqa: T484
    def TemporaryFileName(*args, **kwargs):
        with tempfile.NamedTemporaryFile(*args, **kwargs) as f:
            yield f.name

if IS_WINDOWS:
    @contextmanager
    def TemporaryDirectoryName(suffix=None):
        # On Windows the directory created by TemporaryDirectory is likely to be removed prematurely,
        # so we first create the directory using mkdtemp and then remove it manually
        try:
            dir_name = tempfile.mkdtemp(suffix=suffix)
            yield dir_name
        finally:
            shutil.rmtree(dir_name)
else:
    @contextmanager  # noqa: T484
    def TemporaryDirectoryName(suffix=None):
        with tempfile.TemporaryDirectory(suffix=suffix) as d:
            yield d

IS_FILESYSTEM_UTF8_ENCODING = sys.getfilesystemencoding() == 'utf-8'

def _check_module_exists(name: str) -> bool:
    r"""Returns if a top-level module with :attr:`name` exists *without**
    importing it. This is generally safer than try-catch block around a
    `import X`. It avoids third party libraries breaking assumptions of some of
    our tests, e.g., setting multiprocessing start method when imported
    (see librosa/#747, torchvision/#544).
    """
    try:
        import importlib.util
        spec = importlib.util.find_spec(name)
        return spec is not None
    except ImportError:
        return False

TEST_NUMPY = _check_module_exists('numpy')
TEST_SCIPY = _check_module_exists('scipy')
TEST_MKL = torch.backends.mkl.is_available()
TEST_CUDA = torch.cuda.is_available()
TEST_NUMBA = _check_module_exists('numba')

TEST_DILL = _check_module_exists('dill')

TEST_LIBROSA = _check_module_exists('librosa')

BUILD_WITH_CAFFE2 = _check_module_exists("caffe2.python.caffe2_pybind11_state")

# Python 2.7 doesn't have spawn
NO_MULTIPROCESSING_SPAWN = os.environ.get('NO_MULTIPROCESSING_SPAWN', '0') == '1'
TEST_WITH_ASAN = os.getenv('PYTORCH_TEST_WITH_ASAN', '0') == '1'
TEST_WITH_DEV_DBG_ASAN = os.getenv('PYTORCH_TEST_WITH_DEV_DBG_ASAN', '0') == '1'
TEST_WITH_TSAN = os.getenv('PYTORCH_TEST_WITH_TSAN', '0') == '1'
TEST_WITH_UBSAN = os.getenv('PYTORCH_TEST_WITH_UBSAN', '0') == '1'
TEST_WITH_ROCM = os.getenv('PYTORCH_TEST_WITH_ROCM', '0') == '1'

# TODO: Remove PYTORCH_MIOPEN_SUGGEST_NHWC once ROCm officially supports NHWC in MIOpen
# See #64427
TEST_WITH_MIOPEN_SUGGEST_NHWC = os.getenv('PYTORCH_MIOPEN_SUGGEST_NHWC', '0') == '1'

# Enables tests that are slow to run (disabled by default)
TEST_WITH_SLOW = os.getenv('PYTORCH_TEST_WITH_SLOW', '0') == '1'

# Disables non-slow tests (these tests enabled by default)
# This is usually used in conjunction with TEST_WITH_SLOW to
# run *only* slow tests.  (I could have done an enum, but
# it felt a little awkward.
TEST_SKIP_FAST = os.getenv('PYTORCH_TEST_SKIP_FAST', '0') == '1'

# Disables noarch tests; all but one CI configuration disables these.  We don't
# disable them for local runs because you still want to run them
# (unlike slow tests!)
TEST_SKIP_NOARCH = os.getenv('PYTORCH_TEST_SKIP_NOARCH', '0') == '1'

# Determine whether to enable cuda memory leak check.
# CUDA mem leak check is expensive and thus we don't want to execute it on every
# test case / configuration.
# If this is True then CUDA memory leak checks are skipped. If this is false
#   then CUDA memory leak checks are performed.
# See: https://github.com/pytorch/pytorch/pull/59402#issuecomment-858811135
TEST_SKIP_CUDA_MEM_LEAK_CHECK = os.getenv('PYTORCH_TEST_SKIP_CUDA_MEM_LEAK_CHECK', '0') == '1'

# Disables tests for when on Github Actions
ON_GHA = os.getenv('GITHUB_ACTIONS', '0') == '1'

# True if CI is running TBB-enabled Pytorch
IS_TBB = "tbb" in os.getenv("BUILD_ENVIRONMENT", "")

# Dict of NumPy dtype -> torch dtype (when the correspondence exists)
numpy_to_torch_dtype_dict = {
    np.bool_      : torch.bool,
    np.uint8      : torch.uint8,
    np.int8       : torch.int8,
    np.int16      : torch.int16,
    np.int32      : torch.int32,
    np.int64      : torch.int64,
    np.float16    : torch.float16,
    np.float32    : torch.float32,
    np.float64    : torch.float64,
    np.complex64  : torch.complex64,
    np.complex128 : torch.complex128
}


# numpy dtypes like np.float64 are not instances, but rather classes. This leads to rather absurd cases like
# np.float64 != np.dtype("float64") but np.float64 == np.dtype("float64").type.
# Especially when checking against a reference we can't be sure which variant we get, so we simply try both.
def numpy_to_torch_dtype(np_dtype):
    try:
        return numpy_to_torch_dtype_dict[np_dtype]
    except KeyError:
        return numpy_to_torch_dtype_dict[np_dtype.type]


def has_corresponding_torch_dtype(np_dtype):
    try:
        numpy_to_torch_dtype(np_dtype)
        return True
    except KeyError:
        return False


if IS_WINDOWS:
    # Size of `np.intc` is platform defined.
    # It is returned by functions like `bitwise_not`.
    # On Windows `int` is 32-bit
    # https://docs.microsoft.com/en-us/cpp/cpp/data-type-ranges?view=msvc-160
    numpy_to_torch_dtype_dict[np.intc] = torch.int

# Dict of torch dtype -> NumPy dtype
torch_to_numpy_dtype_dict = {value : key for (key, value) in numpy_to_torch_dtype_dict.items()}

def skipIfRocm(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if TEST_WITH_ROCM:
            raise unittest.SkipTest("test doesn't currently work on the ROCm stack")
        else:
            fn(*args, **kwargs)
    return wrapper

# Skips a test on CUDA if ROCm is unavailable or its version is lower than requested.
def skipIfRocmVersionLessThan(version=None):
    def dec_fn(fn):
        @wraps(fn)
        def wrap_fn(self, *args, **kwargs):
            if not TEST_WITH_ROCM:
                reason = "ROCm not available"
                raise unittest.SkipTest(reason)
            rocm_version = str(torch.version.hip)
            rocm_version = rocm_version.split("-")[0]    # ignore git sha
            rocm_version_tuple = tuple(int(x) for x in rocm_version.split("."))
            if rocm_version_tuple is None or version is None or rocm_version_tuple < tuple(version):
                reason = "ROCm {0} is available but {1} required".format(rocm_version_tuple, version)
                raise unittest.SkipTest(reason)
            return fn(self, *args, **kwargs)
        return wrap_fn
    return dec_fn

def skipIfNotMiopenSuggestNHWC(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if not TEST_WITH_MIOPEN_SUGGEST_NHWC:
            raise unittest.SkipTest("test doesn't currently work without MIOpen NHWC activation")
        else:
            fn(*args, **kwargs)
    return wrapper

# Context manager for setting deterministic flag and automatically
# resetting it to its original value
class DeterministicGuard:
    def __init__(self, deterministic, *, warn_only=False):
        self.deterministic = deterministic
        self.warn_only = warn_only

    def __enter__(self):
        self.deterministic_restore = torch.are_deterministic_algorithms_enabled()
        self.warn_only_restore = torch.is_deterministic_algorithms_warn_only_enabled()
        torch.use_deterministic_algorithms(
            self.deterministic,
            warn_only=self.warn_only)

    def __exit__(self, exception_type, exception_value, traceback):
        torch.use_deterministic_algorithms(
            self.deterministic_restore,
            warn_only=self.warn_only_restore)

# Context manager for setting cuda sync debug mode and reset it
# to original value
# we are not exposing it to the core because sync debug mode is
# global and thus not thread safe
class CudaSyncGuard:
    def __init__(self, sync_debug_mode):
        self.mode = sync_debug_mode

    def __enter__(self):
        self.debug_mode_restore = torch.cuda.get_sync_debug_mode()
        torch.cuda.set_sync_debug_mode(self.mode)

    def __exit__(self, exception_type, exception_value, traceback):
        torch.cuda.set_sync_debug_mode(self.debug_mode_restore)

# This decorator can be used for API tests that call
# torch.use_deterministic_algorithms().  When the test is finished, it will
# restore the previous deterministic flag setting.
#
# If CUDA >= 10.2, this will set the environment variable
# CUBLAS_WORKSPACE_CONFIG=:4096:8 so that the error associated with that
# setting is not thrown during the test unless the test changes that variable
# on purpose. The previous CUBLAS_WORKSPACE_CONFIG setting will also be
# restored once the test is finished.
#
# Note that if a test requires CUDA to actually register the changed
# CUBLAS_WORKSPACE_CONFIG variable, a new subprocess must be created, because
# CUDA only checks the variable when the runtime initializes. Tests can be
# run inside a subprocess like so:
#
#   import subprocess, sys, os
#   script = '''
#   # Test code should go here
#   '''
#   try:
#       subprocess.check_output(
#           [sys.executable, '-c', script],
#           stderr=subprocess.STDOUT,
#           cwd=os.path.dirname(os.path.realpath(__file__)),
#           env=os.environ.copy())
#   except subprocess.CalledProcessError as e:
#       error_message = e.output.decode('utf-8')
#       # Handle exceptions raised by the subprocess here
#
def wrapDeterministicFlagAPITest(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        with DeterministicGuard(
                torch.are_deterministic_algorithms_enabled(),
                warn_only=torch.is_deterministic_algorithms_warn_only_enabled()):
            class CuBLASConfigGuard:
                cublas_var_name = 'CUBLAS_WORKSPACE_CONFIG'

                def __enter__(self):
                    self.is_cuda10_2_or_higher = (
                        (torch.version.cuda is not None)
                        and ([int(x) for x in torch.version.cuda.split(".")] >= [10, 2]))
                    if self.is_cuda10_2_or_higher:
                        self.cublas_config_restore = os.environ.get(self.cublas_var_name)
                        os.environ[self.cublas_var_name] = ':4096:8'

                def __exit__(self, exception_type, exception_value, traceback):
                    if self.is_cuda10_2_or_higher:
                        cur_cublas_config = os.environ.get(self.cublas_var_name)
                        if self.cublas_config_restore is None:
                            if cur_cublas_config is not None:
                                del os.environ[self.cublas_var_name]
                        else:
                            os.environ[self.cublas_var_name] = self.cublas_config_restore
            with CuBLASConfigGuard():
                fn(*args, **kwargs)
    return wrapper

def skipIfCompiledWithoutNumpy(fn):
    # Even if the numpy module is present, if `USE_NUMPY=0` is used during the
    # build, numpy tests will fail
    numpy_support = TEST_NUMPY
    if numpy_support:
        try:
            # The numpy module is present, verify that PyTorch is compiled with
            # numpy support
            torch.from_numpy(np.array([2, 2]))
        except RuntimeError:
            numpy_support = False

    @wraps(fn)
    def wrapper(*args, **kwargs):
        if not numpy_support:
            raise unittest.SkipTest("PyTorch was compiled without numpy support")
        else:
            fn(*args, **kwargs)
    return wrapper

def _test_function(fn, device):
    def run_test_function(self):
        return fn(self, device)
    return run_test_function


def skipIfNoLapack(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if not torch._C.has_lapack:
            raise unittest.SkipTest('PyTorch compiled without Lapack')
        else:
            fn(*args, **kwargs)
    return wrapper


def skipIfNotRegistered(op_name, message):
    """Wraps the decorator to hide the import of the `core`.

    Args:
        op_name: Check if this op is registered in `core._REGISTERED_OPERATORS`.
        message: message to fail with.

    Usage:
        @skipIfNotRegistered('MyOp', 'MyOp is not linked!')
            This will check if 'MyOp' is in the caffe2.python.core
    """
    if not BUILD_WITH_CAFFE2:
        return unittest.skip("Pytorch is compiled without Caffe2")
    try:
        from caffe2.python import core
        skipper = unittest.skipIf(op_name not in core._REGISTERED_OPERATORS,
                                  message)
    except ImportError:
        skipper = unittest.skip("Cannot import `caffe2.python.core`")
    return skipper


def skipIfNoSciPy(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if not TEST_SCIPY:
            raise unittest.SkipTest("test require SciPy, but SciPy not found")
        else:
            fn(*args, **kwargs)
    return wrapper


def skipIfOnGHA(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if ON_GHA:
            raise unittest.SkipTest("Test disabled for GHA")
        else:
            fn(*args, **kwargs)
    return wrapper


def skipIfTBB(message="This test makes TBB sad"):
    def dec_fn(fn):
        @wraps(fn)
        def wrapper(*args, **kwargs):
            if IS_TBB:
                raise unittest.SkipTest(message)
            else:
                fn(*args, **kwargs)
        return wrapper
    return dec_fn


def slowTest(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if not TEST_WITH_SLOW:
            raise unittest.SkipTest("test is slow; run with PYTORCH_TEST_WITH_SLOW to enable test")
        else:
            fn(*args, **kwargs)
    wrapper.__dict__['slow_test'] = True
    return wrapper


# noarch tests are tests that should be only run on one CI configuration,
# because they don't exercise any interesting platform specific code
# and so if run once, indicate the test should pass everywhere.
# See https://github.com/pytorch/pytorch/issues/53743
def noarchTest(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        if TEST_SKIP_NOARCH:
            raise unittest.SkipTest("test is noarch: we are skipping noarch tests due to TEST_SKIP_NOARCH")
        else:
            fn(*args, **kwargs)
    return wrapper


def slowAwareTest(fn):
    fn.__dict__['slow_test'] = True
    return fn


def skipCUDAMemoryLeakCheckIf(condition):
    def dec(fn):
        if getattr(fn, '_do_cuda_memory_leak_check', True):  # if current True
            fn._do_cuda_memory_leak_check = not condition
        return fn
    return dec

def skipCUDANonDefaultStreamIf(condition):
    def dec(fn):
        if getattr(fn, '_do_cuda_non_default_stream', True):  # if current True
            fn._do_cuda_non_default_stream = not condition
        return fn
    return dec

def suppress_warnings(fn):
    @wraps(fn)
    def wrapper(*args, **kwargs):
        with warnings.catch_warnings():
            warnings.simplefilter("ignore")
            fn(*args, **kwargs)
    return wrapper


def to_gpu(obj, type_map=None):
    if type_map is None:
        type_map = {}
    if isinstance(obj, torch.Tensor):
        assert obj.is_leaf
        t = type_map.get(obj.dtype, obj.dtype)
        with torch.no_grad():
            res = obj.clone().to(dtype=t, device="cuda")
            res.requires_grad = obj.requires_grad
        return res
    elif torch.is_storage(obj):
        return obj.new().resize_(obj.size()).copy_(obj)
    elif isinstance(obj, list):
        return [to_gpu(o, type_map) for o in obj]
    elif isinstance(obj, tuple):
        return tuple(to_gpu(o, type_map) for o in obj)
    else:
        return deepcopy(obj)


def get_function_arglist(func):
    return inspect.getfullargspec(func).args


def set_rng_seed(seed):
    torch.manual_seed(seed)
    random.seed(seed)
    if TEST_NUMPY:
        np.random.seed(seed)


@contextlib.contextmanager
def freeze_rng_state():
    # no_dispatch needed for test_composite_compliance
    # Some OpInfos use freeze_rng_state for rng determinism, but
    # test_composite_compliance overrides dispatch for all torch functions
    # which we need to disable to get and set rng state
    with no_dispatch():
        rng_state = torch.get_rng_state()
        if torch.cuda.is_available():
            cuda_rng_state = torch.cuda.get_rng_state()
    try:
        yield
    finally:
        with no_dispatch():
            if torch.cuda.is_available():
                torch.cuda.set_rng_state(cuda_rng_state)
            torch.set_rng_state(rng_state)

@contextlib.contextmanager
def set_default_dtype(dtype):
    saved_dtype = torch.get_default_dtype()
    torch.set_default_dtype(dtype)
    try:
        yield
    finally:
        torch.set_default_dtype(saved_dtype)

def iter_indices(tensor):
    if tensor.dim() == 0:
        return range(0)
    if tensor.dim() == 1:
        return range(tensor.size(0))
    return product(*(range(s) for s in tensor.size()))


def is_iterable(obj):
    try:
        iter(obj)
        return True
    except TypeError:
        return False


def is_iterable_of_tensors(iterable, include_empty=False):
    """ Returns True if iterable is an iterable of tensors and False o.w.

        If the iterable is empty, the return value is :attr:`include_empty`
    """
    # Tensor itself is iterable so we check this first
    if isinstance(iterable, torch.Tensor):
        return False

    try:
        if len(iterable) == 0:
            return include_empty

        for t in iter(iterable):
            if not isinstance(t, torch.Tensor):
                return False

    except TypeError as te:
        return False

    return True


class CudaNonDefaultStream():
    def __enter__(self):
        # Before starting CUDA test save currently active streams on all
        # CUDA devices and set new non default streams to all CUDA devices
        # to ensure CUDA tests do not use default stream by mistake.
        beforeDevice = torch.cuda.current_device()
        self.beforeStreams = []
        for d in range(torch.cuda.device_count()):
            self.beforeStreams.append(torch.cuda.current_stream(d))
            deviceStream = torch.cuda.Stream(device=d)
            torch._C._cuda_setStream(deviceStream._cdata)
        torch._C._cuda_setDevice(beforeDevice)

    def __exit__(self, exec_type, exec_value, traceback):
        # After completing CUDA test load previously active streams on all
        # CUDA devices.
        beforeDevice = torch.cuda.current_device()
        for d in range(torch.cuda.device_count()):
            torch._C._cuda_setStream(self.beforeStreams[d]._cdata)
        torch._C._cuda_setDevice(beforeDevice)

class CudaMemoryLeakCheck():
    def __init__(self, testcase, name=None):
        self.name = testcase.id() if name is None else name
        self.testcase = testcase

        # initialize context & RNG to prevent false positive detections
        # when the test is the first to initialize those
        from torch.testing._internal.common_cuda import initialize_cuda_context_rng
        initialize_cuda_context_rng()

    # Stores CUDA memory data provided by PyTorch's caching allocator and
    #   the CUDA driver.
    #
    # NOTE: The undocumented torch.cuda.mem_get_info() returns
    #   (#free bytes, #total bytes available) on the GPU
    def __enter__(self):
        self.caching_allocator_befores = []
        self.driver_befores = []

        # Performs a gc if required (required if any CUDA memory is held)
        num_devices = torch.cuda.device_count()
        for i in range(num_devices):
            caching_allocator_mem_allocated = torch.cuda.memory_allocated(i)
            # NOTE: gc is based exclusively on caching allocator memory
            #   because the driver will always have some bytes in use (context size?)
            if caching_allocator_mem_allocated > 0:
                gc.collect()
                torch.cuda.empty_cache()
                break

        # Acquires caching allocator and driver statistics before the test is run
        for i in range(num_devices):
            self.caching_allocator_befores.append(torch.cuda.memory_allocated(i))
            bytes_free, bytes_total = torch.cuda.mem_get_info(i)
            driver_mem_allocated = bytes_total - bytes_free
            self.driver_befores.append(driver_mem_allocated)

    def __exit__(self, exec_type, exec_value, traceback):
        # Don't check for leaks if an exception was thrown
        if exec_type is not None:
            return

        # Compares caching allocator before/after statistics
        # An increase in allocated memory is a discrepancy indicating a possible
        #   memory leak
        discrepancy_detected = False
        num_devices = torch.cuda.device_count()
        for i in range(num_devices):
            caching_allocator_mem_allocated = torch.cuda.memory_allocated(i)

            if caching_allocator_mem_allocated > self.caching_allocator_befores[i]:
                discrepancy_detected = True
                break

        # Short-circuits if no discrepancy detected
        if not discrepancy_detected:
            return

        # Validates the discrepancy persists after garbage collection and
        #   is confirmed by the driver API

        # NOTE: driver API iscrepancies alone are ignored because with the jiterator
        #   some tests may permanently increase the CUDA context size and
        #   that will appear as a driver memory leak but is the expected behavior.

        # GCs and clears the cache
        gc.collect()
        torch.cuda.empty_cache()

        for i in range(num_devices):
            caching_allocator_mem_allocated = torch.cuda.memory_allocated(i)
            bytes_free, bytes_total = torch.cuda.mem_get_info(i)
            driver_mem_allocated = bytes_total - bytes_free

            caching_allocator_discrepancy = False
            driver_discrepancy = False

            if caching_allocator_mem_allocated > self.caching_allocator_befores[i]:
                caching_allocator_discrepancy = True

            if driver_mem_allocated > self.driver_befores[i]:
                driver_discrepancy = True

            if caching_allocator_discrepancy and not driver_discrepancy:
                # Just raises a warning if the leak is not validated by the
                #   driver API
                # NOTE: this may be a problem with how the caching allocator collects its
                #   statistics or a leak too small to trigger the allocation of an
                #   additional block of memory by the CUDA driver
                msg = ("CUDA caching allocator reports a memory leak not "
                       "verified by the driver API in {}! "
                       "Caching allocator allocated memory was {} and is now reported as {} "
                       "on device {}. "
                       "CUDA driver allocated memory was {} and is now {}.").format(
                    self.name,
                    self.caching_allocator_befores[i],
                    caching_allocator_mem_allocated,
                    i,
                    self.driver_befores[i],
                    driver_mem_allocated)
                warnings.warn(msg)
            elif caching_allocator_discrepancy and driver_discrepancy:
                # A caching allocator discrepancy validated by the driver API is a
                #   failure (except on ROCm, see below)
                msg = ("CUDA driver API confirmed a leak in {}! "
                       "Caching allocator allocated memory was {} and is now reported as {} "
                       "on device {}. "
                       "CUDA driver allocated memory was {} and is now {}.").format(
                    self.name,
                    self.caching_allocator_befores[i],
                    caching_allocator_mem_allocated,
                    i,
                    self.driver_befores[i],
                    driver_mem_allocated)

                # See #62533
                # ROCM: Sometimes the transient memory is reported as leaked memory
                if TEST_WITH_ROCM:
                    warnings.warn(msg)
                else:
                    raise RuntimeError(msg)

@contextmanager
def skip_exception_type(exc_type):
    try:
        yield
    except exc_type as e:
        raise unittest.SkipTest(f"not implemented: {e}") from e

#  "min_satisfying_examples" setting has been deprecated in hypythesis
#  3.56.0 and removed in hypothesis 4.x
try:
    import hypothesis

    def settings(*args, **kwargs):
        if 'min_satisfying_examples' in kwargs and hypothesis.version.__version_info__ >= (3, 56, 0):
            kwargs.pop('min_satisfying_examples')
        return hypothesis.settings(*args, **kwargs)


    hypothesis.settings.register_profile(
        "pytorch_ci",
        settings(
            derandomize=True,
            suppress_health_check=[hypothesis.HealthCheck.too_slow],
            database=None,
            max_examples=50,
            verbosity=hypothesis.Verbosity.normal))
    hypothesis.settings.register_profile(
        "dev",
        settings(
            suppress_health_check=[hypothesis.HealthCheck.too_slow],
            database=None,
            max_examples=10,
            verbosity=hypothesis.Verbosity.normal))
    hypothesis.settings.register_profile(
        "debug",
        settings(
            suppress_health_check=[hypothesis.HealthCheck.too_slow],
            database=None,
            max_examples=1000,
            verbosity=hypothesis.Verbosity.verbose))

    hypothesis.settings.load_profile(
        "pytorch_ci" if IS_IN_CI else os.getenv('PYTORCH_HYPOTHESIS_PROFILE', 'dev')
    )
except ImportError:
    print('Fail to import hypothesis in common_utils, tests are not derandomized')

# Used in check_if_enable to see if a test method should be disabled by an issue,
# sanitizes a test method name from appended suffixes by @dtypes parametrization.
# e.g., an issue with title "DISABLED test_bitwise_ops (__main__.TestBinaryUfuncs)" should
# disabled ALL parametrized test_bitwise_ops tests, such test_bitwise_ops_cuda_int32
def remove_device_and_dtype_suffixes(test_name: str) -> str:
    # import statement is localized to avoid circular dependency issues with common_device_type.py
    from torch.testing._internal.common_device_type import get_device_type_test_bases
    device_suffixes = [x.device_type for x in get_device_type_test_bases()]
    dtype_suffixes = [str(dt)[len("torch."):] for dt in get_all_dtypes()]

    test_name_chunks = test_name.split("_")
    if len(test_name_chunks) > 0 and test_name_chunks[-1] in dtype_suffixes:
        if len(test_name_chunks) > 1 and test_name_chunks[-2] in device_suffixes:
            return "_".join(test_name_chunks[0:-2])
        return "_".join(test_name_chunks[0:-1])
    return test_name


def check_if_enable(test: unittest.TestCase):
    test_suite = str(test.__class__).split('\'')[1]
    raw_test_name = f'{test._testMethodName} ({test_suite})'
    if slow_tests_dict is not None and raw_test_name in slow_tests_dict:
        getattr(test, test._testMethodName).__dict__['slow_test'] = True
        if not TEST_WITH_SLOW:
            raise unittest.SkipTest("test is slow; run with PYTORCH_TEST_WITH_SLOW to enable test")
    sanitized_test_method_name = remove_device_and_dtype_suffixes(test._testMethodName)
    if not IS_SANDCASTLE and disabled_tests_dict is not None:
        for disabled_test, (issue_url, platforms) in disabled_tests_dict.items():
            disable_test_parts = disabled_test.split()
            if len(disable_test_parts) > 1:
                disabled_test_name = disable_test_parts[0]
                disabled_test_suite = disable_test_parts[1][1:-1]
                # if test method name or its sanitized version exactly matches the disabled test method name
                # AND allow non-parametrized suite names to disable parametrized ones (TestSuite disables TestSuiteCPU)
                if (test._testMethodName == disabled_test_name or sanitized_test_method_name == disabled_test_name) \
                   and disabled_test_suite in test_suite:
                    platform_to_conditional: Dict = {
                        "mac": IS_MACOS,
                        "macos": IS_MACOS,
                        "win": IS_WINDOWS,
                        "windows": IS_WINDOWS,
                        "linux": IS_LINUX,
                        "rocm": TEST_WITH_ROCM,
                        "asan": TEST_WITH_ASAN
                    }
                    if platforms == [] or any([platform_to_conditional[platform] for platform in platforms]):
                        skip_msg = f"Test is disabled because an issue exists disabling it: {issue_url}" \
                            f" for {'all' if platforms == [] else ''}platform(s) {', '.join(platforms)}. " \
                            "If you're seeing this on your local machine and would like to enable this test, " \
                            "please make sure IN_CI is not set and you are not using the flag --import-disabled-tests."
                        raise unittest.SkipTest(skip_msg)
    if TEST_SKIP_FAST:
        if not getattr(test, test._testMethodName).__dict__.get('slow_test', False):
            raise unittest.SkipTest("test is fast; we disabled it with PYTORCH_TEST_SKIP_FAST")


# `TestCase.assertEqual` is very permissive and coerced the inputs into a format that could be compared. This is very
# convenient when writing tests, but not so much while reviewing them. By default, the comparison `Pair` framework of
# `torch.testing._comparison.assert_equal`, used for example by the public testing function
# `torch.testing.assert_close`, is more strict. In order to use the same framework and thus reduce the divergence
# between internal and external comparison logic as much as possible, we define some "relaxed" pairs here. They only
# change the supported inputs, but the comparison logic is the same.
# TODO: Revisit the relaxed pairs and check how much work it is to fix the tests that would fail without the relaxation.

class RelaxedBooleanPair(BooleanPair):
    """Pair for boolean-like inputs.

    In contrast to the builtin :class:`BooleanPair`, this class also supports one input being a number or a single
    element tensor-like.
    """
    _supported_number_types = NumberPair(0, 0)._supported_types

    def _process_inputs(self, actual, expected, *, id):
        # We require only one of the inputs of the inputs to be a boolean and the other can also be a boolean, a
        # number, or a single element tensor or array, whereas in default BooleanPair both inputs have to be booleans.
        tensor_or_array_types: Tuple[Type, ...] = (torch.Tensor, np.ndarray)
        other_supported_types = (*self._supported_types, *self._supported_number_types, *tensor_or_array_types)
        if not (
            (isinstance(actual, self._supported_types) and isinstance(expected, other_supported_types))
            or (isinstance(expected, self._supported_types) and isinstance(actual, other_supported_types))
        ):
            raise UnsupportedInputs()

        return [self._to_bool(input, id=id) for input in (actual, expected)]

    def _to_bool(self, bool_like, *, id):
        if isinstance(bool_like, np.number):
            return bool(bool_like.item())
        elif type(bool_like) in self._supported_number_types:
            return bool(bool_like)
        elif isinstance(bool_like, (torch.Tensor, np.ndarray)):
            numel = bool_like.numel() if isinstance(bool_like, torch.Tensor) else bool_like.size
            if numel > 1:
                raise ErrorMeta(
                    ValueError,
                    f"Only single element tensor-likes can be compared against a boolean. "
                    f"Got {numel} elements instead.",
                    id=id,
                )

            return bool(bool_like.item())
        else:
            return super()._to_bool(bool_like, id=id)


class RelaxedNumberPair(NumberPair):
    """Pair for number-like inputs.

    In contrast to the builtin :class:`NumberPair`, this class also supports one input being a single element
    tensor-like or a :class:`enum.Enum`. (D)Type checks are disabled, meaning comparing 1 to 1.0 succeeds even when
    ``check_dtype=True`` is passed.

    In addition, this class uses looser default tolerances for :class:`float` and :class:`complex` inputs. Also
    supports overriding the absolute and relative tolerance through the ``@precisionOverride`` and
    ``@toleranceOverride`` decorators.
    """
    _TYPE_TO_DTYPE = {
        int: torch.int64,
        float: torch.float32,
        complex: torch.complex64,
    }

    def __init__(
            self, actual, expected, *, rtol_override=0.0, atol_override=0.0, check_dtype=None, **other_parameters
    ) -> None:
        super().__init__(actual, expected, check_dtype=False, **other_parameters)
        self.rtol = max(self.rtol, rtol_override)
        self.atol = max(self.atol, atol_override)

    def _process_inputs(self, actual, expected, *, id):
        # We require only one of the inputs of the inputs to be a number and the other can also be a number or a single
        # element tensor or array, whereas in default NumberPair both inputs have to be numbers.
        tensor_or_array_types: Tuple[Type, ...] = (torch.Tensor, np.ndarray)
        other_supported_types = (*self._supported_types, *tensor_or_array_types)
        if not (
                (isinstance(actual, self._supported_types) and isinstance(expected, other_supported_types))
                or (isinstance(expected, self._supported_types) and isinstance(actual, other_supported_types))
        ):
            raise UnsupportedInputs()

        return [self._to_number(input, id=id) for input in (actual, expected)]

    def _to_number(self, number_like, *, id):
        if isinstance(number_like, (torch.Tensor, np.ndarray)):
            numel = number_like.numel() if isinstance(number_like, torch.Tensor) else number_like.size
            if numel > 1:
                raise ErrorMeta(
                    ValueError,
                    f"Only single element tensor-likes can be compared against a number. "
                    f"Got {numel} elements instead.",
                    id=id,
                )
            number = number_like.item()
            if isinstance(number, bool):
                number = int(number)

            return number
        elif isinstance(number_like, Enum):
            return int(number_like)  # type: ignore[call-overload]
        else:
            return super()._to_number(number_like, id=id)


class TensorOrArrayPair(TensorLikePair):
    """Pair for tensor-like inputs.

    On the one hand this class is stricter than the builtin :class:`TensorLikePair` since it only allows instances of
    :class:`torch.Tensor` and :class:`numpy.ndarray` rather than allowing any tensor-like than can be converted into a
    tensor. On the other hand this class is looser since it converts all inputs into tensors with no regard of their
    relationship, e.g. comparing a :class:`torch.Tensor` to :class:`numpy.ndarray` is fine.

    In addition, this class supports overriding the absolute and relative tolerance through the ``@precisionOverride``
    and ``@toleranceOverride`` decorators.
    """
    def __init__(self, actual, expected, *, rtol_override=0.0, atol_override=0.0, **other_parameters):
        super().__init__(actual, expected, **other_parameters)
        self.rtol = max(self.rtol, rtol_override)
        self.atol = max(self.atol, atol_override)

    def _process_inputs(self, actual, expected, *, id, allow_subclasses):
        self._check_inputs_isinstance(actual, expected, cls=(torch.Tensor, np.ndarray))

        actual, expected = [self._to_tensor(input) for input in (actual, expected)]
        for tensor in (actual, expected):
            self._check_supported(tensor, id=id)
        return actual, expected


class UnittestPair(Pair):
    """Fallback ABC pair that handles non-numeric inputs.

    To avoid recreating the mismatch messages of :meth:`unittest.TestCase.assertEqual`, this pair simply wraps it in
    order to use it with the :class:`Pair` "framework" from :func:`assert_equal`.

    Define the :attr:`UnittestPair.CLS` in a subclass to indicate which class(es) of the inputs the pair should support.
    """
    CLS: Union[Type, Tuple[Type, ...]]
    TYPE_NAME: Optional[str] = None

    def __init__(self, actual, expected, **other_parameters):
        self._check_inputs_isinstance(actual, expected, cls=self.CLS)
        super().__init__(actual, expected, **other_parameters)

    def compare(self):
        test_case = unittest.TestCase()

        try:
            return test_case.assertEqual(self.actual, self.expected)
        except test_case.failureException as error:
            msg = str(error)

        type_name = self.TYPE_NAME or (self.CLS if isinstance(self.CLS, type) else self.CLS[0]).__name__
        raise self._make_error_meta(AssertionError, f"{type_name.title()} comparison failed: {msg}")


class StringPair(UnittestPair):
    CLS = string_classes
    TYPE_NAME = "string"


class SetPair(UnittestPair):
    CLS = set


class TypePair(UnittestPair):
    CLS = type


class ObjectPair(UnittestPair):
    CLS = object


# This implements a variant of assertRaises/assertRaisesRegex where we first test
# if the exception is NotImplementedError, and if so just skip the test instead
# of failing it.
#
# This is implemented by inheriting from the (private) implementation of
# assertRaises from unittest.case, and slightly tweaking it for this new
# behavior.  The year is 2021: this private class hierarchy hasn't changed since
# 2010, seems low risk to inherit from.
class AssertRaisesContextIgnoreNotImplementedError(unittest.case._AssertRaisesContext):
    def __exit__(self, exc_type, exc_value, tb):
        if exc_type is not None and issubclass(exc_type, NotImplementedError):
            self.test_case.skipTest(f"not_implemented: {exc_value}")  # type: ignore[attr-defined]
        return super().__exit__(exc_type, exc_value, tb)


@contextmanager
def set_warn_always_context(new_val: bool):
    old_val = torch.is_warn_always_enabled()
    torch.set_warn_always(new_val)
    try:
        yield
    finally:
        torch.set_warn_always(old_val)


class TestCase(expecttest.TestCase):
    # NOTE: "precision" lets classes and generated tests set minimum
    # atol values when comparing tensors. Used by @precisionOverride and @toleranceOverride, for
    # example.
    # NOTE: "rel_tol" lets classes and generated tests set minimum
    # rtol values when comparing tensors. Used by @toleranceOverride, for example.
    _precision: float = 0
    _rel_tol: float = 0

    # checker to early terminate test suite if unrecoverable failure occurs.
    def _should_stop_test_suite(self):
        if torch.cuda.is_initialized():
            # CUDA device side error will cause subsequence test cases to fail.
            # stop entire test suite if catches RuntimeError during torch.cuda.synchronize().
            try:
                torch.cuda.synchronize()
            except RuntimeError as rte:
                print("TEST SUITE EARLY TERMINATION due to torch.cuda.synchronize() failure", file=sys.stderr)
                return True
            return False
        else:
            return False

    @property
    def precision(self) -> float:
        return self._precision

    @precision.setter
    def precision(self, prec: float) -> None:
        self._precision = prec

    @property
    def rel_tol(self) -> float:
        return self._rel_tol

    @rel_tol.setter
    def rel_tol(self, prec: float) -> None:
        self._rel_tol = prec

    _do_cuda_memory_leak_check = False
    _do_cuda_non_default_stream = False

    # When True, if a test case raises a NotImplementedError, instead of failing
    # the test, skip it instead.
    _ignore_not_implemented_error = False

    def __init__(self, method_name='runTest'):
        super().__init__(method_name)

        test_method = getattr(self, method_name, None)
        if test_method is not None:
            # Wraps the tested method if we should do CUDA memory check.
            if not TEST_SKIP_CUDA_MEM_LEAK_CHECK:
                self._do_cuda_memory_leak_check &= getattr(test_method, '_do_cuda_memory_leak_check', True)
                # FIXME: figure out the flaky -1024 anti-leaks on windows. See #8044
                if self._do_cuda_memory_leak_check and not IS_WINDOWS:
                    self.wrap_with_cuda_policy(method_name, self.assertLeaksNoCudaTensors)

            # Wraps the tested method if we should enforce non default CUDA stream.
            self._do_cuda_non_default_stream &= getattr(test_method, '_do_cuda_non_default_stream', True)
            if self._do_cuda_non_default_stream and not IS_WINDOWS:
                self.wrap_with_cuda_policy(method_name, self.enforceNonDefaultStream)

            if self._ignore_not_implemented_error:
                self.wrap_with_policy(method_name, lambda: skip_exception_type(NotImplementedError))

    def assertLeaksNoCudaTensors(self, name=None):
        name = self.id() if name is None else name
        return CudaMemoryLeakCheck(self, name)

    def enforceNonDefaultStream(self):
        return CudaNonDefaultStream()

    def wrap_with_cuda_policy(self, method_name, policy):
        test_method = getattr(self, method_name)
        # the import below may initialize CUDA context, so we do it only if
        # self._do_cuda_memory_leak_check or self._do_cuda_non_default_stream
        # is True.
        # TODO: sure looks like we unconditionally initialize the context here
        # -- ezyang
        from torch.testing._internal.common_cuda import TEST_CUDA
        fullname = self.id().lower()  # class_name.method_name
        if TEST_CUDA and ('gpu' in fullname or 'cuda' in fullname):
            setattr(self, method_name, self.wrap_method_with_policy(test_method, policy))

    def wrap_with_policy(self, method_name, policy):
        test_method = getattr(self, method_name)
        setattr(self, method_name, self.wrap_method_with_policy(test_method, policy))

    # A policy is a zero-argument function that returns a context manager.
    # We don't take the context manager directly as it may be necessary to
    # construct it once per test method
    def wrap_method_with_policy(self, method, policy):
        # Assumes that `method` is the tested function in `self`.
        # NOTE: Python Exceptions (e.g., unittest.Skip) keeps objects in scope
        #       alive, so this cannot be done in setUp and tearDown because
        #       tearDown is run unconditionally no matter whether the test
        #       passes or not. For the same reason, we can't wrap the `method`
        #       call in try-finally and always do the check.
        @wraps(method)
        def wrapper(self, *args, **kwargs):
            with policy():
                method(*args, **kwargs)
        return types.MethodType(wrapper, self)

    def wrap_with_cuda_memory_check(self, method):
        return self.wrap_method_with_policy(method, self.assertLeaksNoCudaTensors)

    # Recursive function that incorporates retry logic when PYTORCH_RETRY_TEST_CASES=1 and enables early test
    # termination. [DISCLAIMER: ONLY WORKS WITH UNITTEST]
    # When report_only is True, flaky tests are only reported, but the signal remains the same (the test will still
    # show up red).
    # Otherwise, the flaky test will show up green while its stats are captured by test reports.
    def _run_with_retry(self, result=None, num_runs_left=0, report_only=True):
        if num_runs_left == 0:
            return

        using_unittest = isinstance(result, unittest.TestResult)

        if using_unittest:
            failures_before = 0 if result is None else len(result.failures)  # num tests marked as failed before starting
            errors_before = 0 if result is None else len(result.errors)  # num tests marked as errored before starting

        super().run(result=result)
        # Early terminate test if necessary.
        if self._should_stop_test_suite():
            if result.wasSuccessful():
                case = TestCase()
                if TEST_SAVE_XML is not None:
                    # This is a big hacky, XMLRunner modifies expected type from TestCase to TestInfo
                    # Create dummy TestInfo to record results correctly
                    from xmlrunner.result import _TestInfo  # type: ignore[import]
                    case = _TestInfo(result, case)
                    case.output = _TestInfo.ERROR
                    case.elapsed_time = 0.0
                    case.test_description = "TestSuiteEarlyFailure"
                # This shouldn't really happen, but if does add fake failure
                # For more details see https://github.com/pytorch/pytorch/issues/71973
                result.failures.append((case, "TestSuite execution was aborted early"))
                assert result.wasSuccessful() is False
            result.stop()

        if not RETRY_TEST_CASES or not using_unittest:
            return

        err = sys.exc_info()
        num_retries_left = num_runs_left - 1
        if failures_before < len(result.failures):
            print(f"    {self._testMethodName} failed - num_retries_left: {num_retries_left}")
            if (report_only and num_retries_left < MAX_NUM_RETRIES) or (not report_only and num_retries_left > 0):
                result.failures.pop(-1)
                result.addExpectedFailure(self, err)
            self._run_with_retry(result=result, num_runs_left=num_retries_left, report_only=report_only)
        elif errors_before < len(result.errors):
            print(f"    {self._testMethodName} errored - num_retries_left: {num_retries_left}")
            if (report_only and num_retries_left < MAX_NUM_RETRIES) or (not report_only and num_retries_left > 0):
                result.errors.pop(-1)
                result.addExpectedFailure(self, err)
            self._run_with_retry(result=result, num_runs_left=num_retries_left, report_only=report_only)
        elif report_only and num_retries_left < MAX_NUM_RETRIES:
            print(f"    {self._testMethodName} succeeded - num_retries_left: {num_retries_left}")
            result.addUnexpectedSuccess(self)
            self._run_with_retry(result=result, num_runs_left=num_retries_left, report_only=report_only)


    def run(self, result=None):
        num_runs = MAX_NUM_RETRIES + 1 if RETRY_TEST_CASES else 1
        self._run_with_retry(result=result, num_runs_left=num_runs, report_only=not OVERRIDE_FLAKY_SIGNAL)

    def setUp(self):
        check_if_enable(self)
        set_rng_seed(SEED)

    @staticmethod
    def _make_crow_indices(n_rows, n_cols, nnz,
                           *, device, dtype, random=True):
        """Return crow_indices of a CSR tensor with size (n_rows, n_cols) and
        the number of specified elements nnz.

        If random is True, the column counts of rows are in random
        order. Otherwise, the column counts of rows are defined by the
        used sampling method.

        Sampling method
        ---------------

        The used sampling method was introduced in
        https://pearu.github.io/csr_sampling.html, and here we give
        only an overall description of the method.

        Notice that crow_indices can be defined as cumsum(counts)
        where counts is a sequence of non-negative integers satisfying
        the following conditions:

          len(counts) == n_rows + 1
          counts.max() <= n_cols

        while counts[i + 1] is interpreted as the number of specified
        elements in the i-th row.

        The used sampling method aims at increasing the diversity of
        CSR samples, that is, a CSR sample should contain (i) rows
        that are all filled, (ii) rows with no elements at all, and
        (iii) rows that are partially filled. At the same time and for
        the given total number of specified elements (nnz), there
        should be minimal preference to rows with a given number of
        elements.  To achieve this, the sampling method is built-up on
        using a sawteeth model for counts. In the simplest case, we
        would have

          counts = arange(n_rows + 1) % (n_cols + 1)

        that has equal number of all possible column counts per row.
        This formula can be used only for specific input values of
        n_rows, n_cols, and nnz. To generalize this model to any
        combinations of inputs, the counts model above is extended
        with an incomplete sawtooth, and the right and lower
        rectangular parts that will guarantee that

          counts.sum() == nnz

        for any combination of n_rows, n_cols, and nnz. Basically,
        we'll find a maximal window in (n_rows + 1, n_cols + 1)-grid
        that is able to hold a sequence of sawteeth and so-called
        final correction, while the external part of the window is
        filled with counts to meet the nnz contraint exactly.
        """
        assert 0 <= nnz <= n_rows * n_cols

        def sawteeth(n, m):
            # return the total number of counts in the sequence of
            # sawteeth where n and m define a window in (n_rows+1,
            # n_cols+1) rectangle where the sequence of sawteeth
            # perfectly fit.
            M = (n_cols - m) * (n_cols - m + 1) // 2
            K = (n_rows - n) % (n_cols - m + 1)
            return M * ((n_rows - n) // (n_cols - m + 1)) + K * (K - 1) // 2

        # Different from the original method description, here counts
        # has leading 0 required by crow_indices:
        counts = torch.zeros(n_rows + 1, dtype=dtype, device=torch.device('cpu'))

        n = m = 0
        N = sawteeth(n, m)
        if N and nnz >= max(N, n_cols):
            # determine the width of the sawteeth window. We use bisection to solve
            #   N(n, 0) == 0 or nnz - n * n_cols < max(N(n, 0), n_cols)
            # for n
            n_left = n
            n_right = n_rows - 1
            N_right = sawteeth(n_right, m)
            while n_right - n_left > 1:
                n_middle = (n_left + n_right) // 2
                N_middle = sawteeth(n_middle, m)
                if N_middle == 0 or nnz - n_middle * n_cols < max(N_middle, n_cols):
                    n_right, N_right = n_middle, N_middle
                else:
                    n_left = n_middle
            n, N = n_right, N_right
            # fill the right rectangle with counts:
            assert n
            counts[-n:].fill_(n_cols)

        if N and nnz - n * n_cols >= max(N, n_rows - n):
            # determine the height of the sawteeth window. We use bisection to solve
            #   N(n, m) == 0 or nnz - n * n_cols - m * (n_rows - n) < max(N(n, m), n_rows - n)
            # for m.
            m_left = m
            m_right = n_cols - 1
            N_right = sawteeth(n, m_right)
            while m_right - m_left > 1:
                m_middle = (m_left + m_right) // 2
                N_middle = sawteeth(n, m_middle)
                if N_middle == 0 or nnz - n * n_cols - m_middle * (n_rows - n) < max(N_middle, n_rows - n):
                    m_right, N_right = m_middle, N_middle
                else:
                    m_left = m_middle
            m, N = m_right, N_right
            # fill the bottom rectangle with counts:
            assert m
            counts[1:n_rows - n + 1].fill_(m)

        if N:
            # fill the sawteeth window with counts
            q, r = divmod(nnz - n * n_cols - m * (n_rows - n),
                          (n_cols - m) * (n_cols - m + 1) // 2)
            p = 1 + q * (n_cols - m + 1)
            if sys.version_info >= (3, 8):
                k = math.isqrt(2 * r)
            else:
                # math.isqrt(x) is available starting from Python 3.8.
                # Here we use int(math.sqrt(x)) as an approximation
                # that appers to give exaxt result for all x values
                # less than 2**35, at least, the upper limit of x is
                # TBD.
                k = int(math.sqrt(2 * r))
            if k * (k + 1) > 2 * r:
                k -= 1
            corr = r - k * (k + 1) // 2
            assert not ((p > 1) and (m > 0))  # full sawteeth are never on top of a bottom rectangle
            # sequence of full sawteeth:
            counts[1:p] = torch.arange(p - 1, dtype=dtype, device=counts.device) % (n_cols - m + 1)
            # incomplete sawtooth:
            counts[p:p + k + 1] += torch.arange(k + 1, dtype=dtype, device=counts.device)
        else:
            # given input does not support sawteeth
            p = 1
            corr = nnz - n * n_cols - m * (n_rows - n)

        # correction that will guarantee counts.sum() == nnz:
        counts[p] += corr

        if random:
            # randomize crow_indices by shuffling the sawteeth
            # sequence:
            perm = torch.randperm(n_rows, device=counts.device)
            counts[1:] = counts[1:][perm]

        # compute crow_indices:
        crow_indices = counts
        crow_indices.cumsum_(dim=0)
        return crow_indices.to(device=device)

    def genSparseCSRTensor(self, size, nnz, *, device, dtype, index_dtype):
        sparse_dim = 2
        assert all(size[d] > 0 for d in range(sparse_dim)) or nnz == 0, 'invalid arguments'
        assert len(size) == sparse_dim

        def random_sparse_csr(n_rows, n_cols, nnz):
            crow_indices = self._make_crow_indices(n_rows, n_cols, nnz, device=device, dtype=index_dtype)
            col_indices = torch.zeros(nnz, dtype=index_dtype, device=device)
            for i in range(n_rows):
                count = crow_indices[i + 1] - crow_indices[i]
                col_indices[crow_indices[i]:crow_indices[i + 1]], _ = torch.sort(
                    torch.randperm(n_cols, dtype=index_dtype, device=device)[:count])
            low = -1 if dtype != torch.uint8 else 0
            high = 1 if dtype != torch.uint8 else 2
            values = make_tensor([nnz], device=device, dtype=dtype, low=low, high=high)
            return values, crow_indices, col_indices

        values, crow_indices, col_indices = random_sparse_csr(size[0], size[1], nnz)
        return torch.sparse_csr_tensor(crow_indices,
                                       col_indices,
                                       values, size=size, dtype=dtype, device=device)

    def genSparseTensor(self, size, sparse_dim, nnz, is_uncoalesced, device, dtype):
        # Assert not given impossible combination, where the sparse dims have
        # empty numel, but nnz > 0 makes the indices containing values.
        assert all(size[d] > 0 for d in range(sparse_dim)) or nnz == 0, 'invalid arguments'

        v_size = [nnz] + list(size[sparse_dim:])
        v = make_tensor(v_size, device=device, dtype=dtype, low=-1, high=1)
        i = torch.rand(sparse_dim, nnz, device=device)
        i.mul_(torch.tensor(size[:sparse_dim]).unsqueeze(1).to(i))
        i = i.to(torch.long)
        if is_uncoalesced:
            v = torch.cat([v, torch.randn_like(v)], 0)
            i = torch.cat([i, i], 1)
        x = torch.sparse_coo_tensor(i, v, torch.Size(size), dtype=dtype, device=device)

        if not is_uncoalesced:
            x = x.coalesce()
        else:
            # FIXME: `x` is a sparse view of `v`. Currently rebase_history for
            #        sparse views is not implemented, so this workaround is
            #        needed for inplace operations done on `x`, e.g., copy_().
            #        Remove after implementing something equivalent to CopySlice
            #        for sparse views.
            # NOTE: We do clone() after detach() here because we need to be able to change size/storage of x afterwards
            x = x.detach().clone()
        return x, x._indices().clone(), x._values().clone()

    def safeToDense(self, t):
        return t.coalesce().to_dense()

    # Compares a torch function with a reference function for a given sample input (object of SampleInput)
    # Note: only values are compared, type comparison is not done here
    def compare_with_reference(self, torch_fn, ref_fn, sample_input, **kwargs):
        n_inp, n_args, n_kwargs = sample_input.numpy()
        t_inp, t_args, t_kwargs = sample_input.input, sample_input.args, sample_input.kwargs

        actual = torch_fn(t_inp, *t_args, **t_kwargs)
        expected = ref_fn(n_inp, *n_args, **n_kwargs)

        self.assertEqual(actual, expected, exact_device=False)

    # Compares the given Torch and NumPy functions on the given tensor-like object.
    # NOTE: both torch_fn and np_fn should be functions that take a single
    #   tensor (array). If the torch and/or NumPy function require additional
    #   arguments then wrap the function in a lambda or pass a partial function.
    # TODO: add args/kwargs for passing to assertEqual (e.g. rtol, atol)
    def compare_with_numpy(self, torch_fn, np_fn, tensor_like,
                           device=None, dtype=None, **kwargs):
        assert TEST_NUMPY

        if isinstance(tensor_like, torch.Tensor):
            assert device is None
            assert dtype is None
            t_cpu = tensor_like.detach().cpu()
            if t_cpu.dtype is torch.bfloat16:
                t_cpu = t_cpu.float()
            a = t_cpu.numpy()
            t = tensor_like
        else:
            d = copy.copy(torch_to_numpy_dtype_dict)
            d[torch.bfloat16] = np.float32
            a = np.array(tensor_like, dtype=d[dtype])
            t = torch.tensor(tensor_like, device=device, dtype=dtype)

        np_result = np_fn(a)
        torch_result = torch_fn(t).cpu()

        # Converts arrays to tensors
        if isinstance(np_result, np.ndarray):
            try:
                np_result = torch.from_numpy(np_result)
            except Exception:
                # NOTE: copying an array before conversion is necessary when,
                #   for example, the array has negative strides.
                np_result = torch.from_numpy(np_result.copy())
            if t.dtype is torch.bfloat16 and torch_result.dtype is torch.bfloat16 and np_result.dtype is torch.float:
                torch_result = torch_result.to(torch.float)

        self.assertEqual(np_result, torch_result, **kwargs)

    def assertEqualIgnoreType(self, *args, **kwargs) -> None:
        # If you are seeing this function used, that means test is written wrongly
        # and deserves detailed investigation
        return self.assertEqual(*args, exact_dtype=False, **kwargs)

    def assertEqual(
            self,
            x,
            y,
            msg: Optional[str] = None,
            *,
            atol: Optional[float] = None,
            rtol: Optional[float] = None,
            equal_nan=True,
            exact_dtype=True,
            # TODO: default this to True
            exact_device=False,
            exact_layout=False,
            exact_stride=False,
            exact_is_coalesced=False
    ):
        # Hide this function from `pytest`'s traceback
        __tracebackhide__ = True

        # numpy's dtypes are a superset of what PyTorch supports. In case we encounter an unsupported dtype, we fall
        # back to an elementwise comparison. Note that this has to happen here and not for example in
        # `TensorOrArrayPair`, since at that stage we can no longer split the array into its elements and perform
        # multiple comparisons.
        if any(
            isinstance(input, np.ndarray) and not has_corresponding_torch_dtype(input.dtype) for input in (x, y)
        ):
            def to_list(input):
                return input.tolist() if isinstance(input, (torch.Tensor, np.ndarray)) else list(input)

            x = to_list(x)
            y = to_list(y)
        # When comparing a sequence of numbers to a tensor, we need to convert the sequence to a tensor here.
        # Otherwise, the pair origination of `assert_equal` will fail, because the sequence is recognized as container
        # that should be checked elementwise while the tensor is not.
        elif isinstance(x, torch.Tensor) and isinstance(y, Sequence):
            y = torch.as_tensor(y, dtype=x.dtype, device=x.device)
        elif isinstance(x, Sequence) and isinstance(y, torch.Tensor):
            x = torch.as_tensor(x, dtype=y.dtype, device=y.device)

        assert_equal(
            x,
            y,
            pair_types=(
                NonePair,
                RelaxedBooleanPair,
                RelaxedNumberPair,
                TensorOrArrayPair,
                StringPair,
                SetPair,
                TypePair,
                ObjectPair,
            ),
            sequence_types=(
                Sequence,
                torch.storage._TypedStorage,
                Sequential,
                ModuleList,
                ParameterList,
                ScriptList,
                torch.utils.data.dataset.Subset,
            ),
            mapping_types=(Mapping, ModuleDict, ParameterDict, ScriptDict),
            rtol=rtol,
            rtol_override=self.rel_tol,
            atol=atol,
            atol_override=self.precision,
            equal_nan=equal_nan,
            check_device=exact_device,
            check_dtype=exact_dtype,
            check_layout=exact_layout,
            check_stride=exact_stride,
            check_is_coalesced=exact_is_coalesced,
            msg=msg,
        )

    def assertNotEqual(self, x, y, msg: Optional[str] = None, *,                                       # type: ignore[override]
                       atol: Optional[float] = None, rtol: Optional[float] = None, **kwargs) -> None:
        with self.assertRaises(AssertionError, msg=msg):
            self.assertEqual(x, y, msg, atol=atol, rtol=rtol, **kwargs)

    def assertEqualTypeString(self, x, y) -> None:
        # This API is used simulate deprecated x.type() == y.type()
        self.assertEqual(x.device, y.device)
        self.assertEqual(x.dtype, y.dtype)
        self.assertEqual(x.is_sparse, y.is_sparse)

    def assertObjectIn(self, obj: Any, iterable: Iterable[Any]) -> None:
        for elem in iterable:
            if id(obj) == id(elem):
                return
        raise AssertionError("object not found in iterable")

    # Reimplemented to provide special behavior when
    # _ignore_not_implemented_error is True
    def assertRaises(self, expected_exception, *args, **kwargs):
        if self._ignore_not_implemented_error:
            context: Optional[AssertRaisesContextIgnoreNotImplementedError] = \
                AssertRaisesContextIgnoreNotImplementedError(expected_exception, self)  # type: ignore[call-arg]
            try:
                return context.handle('assertRaises', args, kwargs)  # type: ignore[union-attr]
            finally:
                # see https://bugs.python.org/issue23890
                context = None
        else:
            return super().assertRaises(expected_exception, *args, **kwargs)

    # Reimplemented to provide special behavior when
    # _ignore_not_implemented_error is True
    def assertRaisesRegex(self, expected_exception, expected_regex, *args, **kwargs):
        # Verifies that an exception with the type expected_exception and message
        # matching the regular expression defined by expected_regex is thrown.
        # If the test is instantiated for a non-native device type (like XLA)
        # then the message is not validated.

        # Checks whether the test is instantiated for a device type by testing
        # if the test class has defined the device_type attribute and,
        # if so, tests whether the instantiated device type is native or not
        if hasattr(self, 'device_type') and self.device_type not in NATIVE_DEVICES:  # type: ignore[attr-defined]
            # empty string matches any string
            expected_regex = ''

        if self._ignore_not_implemented_error:
            context = AssertRaisesContextIgnoreNotImplementedError(  # type: ignore[call-arg]
                expected_exception, self, expected_regex)
            return context.handle('assertRaisesRegex', args, kwargs)  # type: ignore[attr-defined]
        else:
            return super().assertRaisesRegex(expected_exception, expected_regex, *args, **kwargs)

    # TODO: Support context manager interface
    # NB: The kwargs forwarding to callable robs the 'subname' parameter.
    # If you need it, manually apply your callable in a lambda instead.
    def assertExpectedRaises(self, exc_type, callable, *args, **kwargs):
        subname = None
        if 'subname' in kwargs:
            subname = kwargs['subname']
            del kwargs['subname']
        try:
            callable(*args, **kwargs)
        except exc_type as e:
            self.assertExpected(str(e), subname)
            return
        # Don't put this in the try block; the AssertionError will catch it
        self.fail(msg="Did not raise when expected to")

    def assertNotWarn(self, callable, msg=''):
        r"""
        Test if :attr:`callable` does not raise a warning.
        """
        with warnings.catch_warnings(record=True) as ws:
            warnings.simplefilter("always")  # allow any warning to be raised
            with set_warn_always_context(True):
                callable()
            self.assertTrue(len(ws) == 0, msg)

    @contextmanager
    def assertWarnsOnceRegex(self, category, regex=''):
        """Context manager for code that *must always* warn

        This filters expected warnings from the test and fails if
        the expected warning is not caught. It uses set_warn_always() to force
        TORCH_WARN_ONCE to behave like TORCH_WARN
        """
        pattern = re.compile(regex)
        with warnings.catch_warnings(record=True) as ws:
            warnings.simplefilter("always")  # allow any warning to be raised
            with set_warn_always_context(True):
                yield
            if len(ws) == 0:
                self.fail('no warning caught')
            self.assertTrue(any([type(w.message) is category for w in ws]))
            self.assertTrue(
                any([re.match(pattern, str(w.message)) for w in ws]),
                f'{pattern}, {[w.message for w in ws if type(w.message) is category]}')

    def assertExpected(self, s, subname=None):
        r"""
        Test that a string matches the recorded contents of a file
        derived from the name of this test and subname.  This file
        is placed in the 'expect' directory in the same directory
        as the test script. You can automatically update the recorded test
        output using --accept.

        If you call this multiple times in a single function, you must
        give a unique subname each time.
        """
        if not isinstance(s, str):
            raise TypeError("assertExpected is strings only")

        def remove_prefix(text, prefix):
            if text.startswith(prefix):
                return text[len(prefix):]
            return text
        # NB: we take __file__ from the module that defined the test
        # class, so we place the expect directory where the test script
        # lives, NOT where test/common_utils.py lives.  This doesn't matter in
        # PyTorch where all test scripts are in the same directory as
        # test/common_utils.py, but it matters in onnx-pytorch
        module_id = self.__class__.__module__
        munged_id = remove_prefix(self.id(), module_id + ".")
        test_file = os.path.realpath(sys.modules[module_id].__file__)
        expected_file = os.path.join(os.path.dirname(test_file),
                                     "expect",
                                     munged_id)

        subname_output = ""
        if subname:
            expected_file += "-" + subname
            subname_output = " ({})".format(subname)
        expected_file += ".expect"
        expected = None

        def accept_output(update_type):
            print("Accepting {} for {}{}:\n\n{}".format(update_type, munged_id, subname_output, s))
            with open(expected_file, 'w') as f:
                # Adjust for producer_version, leave s unmodified
                s_tag = re.sub(r'(producer_version): "[0-9.]*"',
                               r'\1: "CURRENT_VERSION"', s)
                f.write(s_tag)

        try:
            with open(expected_file) as f:
                expected = f.read()
        except IOError as e:
            if e.errno != errno.ENOENT:
                raise
            elif expecttest.ACCEPT:
                return accept_output("output")
            else:
                raise RuntimeError(
                    ("I got this output for {}{}:\n\n{}\n\n"
                     "No expect file exists; to accept the current output, run:\n"
                     "python {} {} --accept").format(munged_id, subname_output, s, __main__.__file__, munged_id)) from None

        # a hack for JIT tests
        if IS_WINDOWS:
            expected = re.sub(r'CppOp\[(.+?)\]', 'CppOp[]', expected)
            s = re.sub(r'CppOp\[(.+?)\]', 'CppOp[]', s)

        # Adjust for producer_version
        expected = expected.replace(
            'producer_version: "CURRENT_VERSION"',
            'producer_version: "{}"'.format(torch.onnx.producer_version)
        )
        if expecttest.ACCEPT:
            if expected != s:
                return accept_output("updated output")
        else:
            if hasattr(self, "assertMultiLineEqual"):
                # Python 2.7 only
                # NB: Python considers lhs "old" and rhs "new".
                self.assertMultiLineEqual(expected, s)
            else:
                self.assertEqual(s, expected)

    def assertExpectedStripMangled(self, s, subname=None):
        s = re.sub(r'__torch__[^ ]+', '', s)
        self.assertExpected(s, subname)

    def assertGreaterAlmostEqual(self, first, second, places=None, msg=None, delta=None):
        """Assert that ``first`` is greater than or almost equal to ``second``.

        The equality of ``first`` and ``second`` is determined in a similar way to
        the ``assertAlmostEqual`` function of the standard library.
        """
        if delta is not None and places is not None:
            raise TypeError("specify delta or places not both")

        if first >= second:
            return

        diff = second - first
        if delta is not None:
            if diff <= delta:
                return

            standardMsg = f"{first} not greater than or equal to {second} within {delta} delta"
        else:
            if places is None:
                places = 7

            if round(diff, places) == 0:
                return

            standardMsg = f"{first} not greater than or equal to {second} within {places} places"

        msg = self._formatMessage(msg, standardMsg)
        raise self.failureException(msg)

    # run code in subprocess and capture exceptions.
    @staticmethod
    def run_process_no_exception(code, env=None):
        import subprocess

        popen = subprocess.Popen(
            [sys.executable, '-c', code],
            stdout=subprocess.PIPE,
            stderr=subprocess.PIPE,
            env=env)
        (stdout, stderr) = popen.communicate()
        return (stdout, stderr)

    # returns captured stderr
    @staticmethod
    def runWithPytorchAPIUsageStderr(code):
        env = os.environ.copy()
        env["PYTORCH_API_USAGE_STDERR"] = "1"
        # remove IN_CI flag since this is a wrapped test process.
        # IN_CI flag should be set in the parent process only.
        if "IN_CI" in env.keys():
            del env["IN_CI"]
        (stdout, stderr) = TestCase.run_process_no_exception(code, env=env)
        return stderr.decode('ascii')


def download_file(url, binary=True):
    from urllib.parse import urlsplit
    from urllib import request, error

    filename = os.path.basename(urlsplit(url)[2])
    data_dir = get_writable_path(os.path.join(os.path.dirname(__file__), 'data'))
    path = os.path.join(data_dir, filename)

    if os.path.exists(path):
        return path
    try:
        data = request.urlopen(url, timeout=15).read()
        with open(path, 'wb' if binary else 'w') as f:
            f.write(data)
        return path
    except error.URLError as e:
        msg = "could not download test file '{}'".format(url)
        warnings.warn(msg, RuntimeWarning)
        raise unittest.SkipTest(msg) from e

def find_free_port():
    """
    Finds an available port and returns that port number.

    NOTE: If this function is being used to allocate a port to Store (or
    indirectly via init_process_group or init_rpc), it should be used
    in conjuction with the `retry_on_connect_failures` decorator as there is a potential
    race condition where the allocated port may become unavailable before it can be used
    """
    with closing(socket.socket(socket.AF_INET, socket.SOCK_STREAM)) as sock:
        sock.setsockopt(socket.SOL_SOCKET, socket.SO_REUSEADDR, 1)
        sock.bind(('localhost', 0))
        _, port = sock.getsockname()
        return port

# Errors that we can get in c10d initialization for which we should retry tests for.
ADDRESS_IN_USE = "Address already in use"
CONNECT_TIMEOUT = "connect() timed out."

def retry_on_connect_failures(func=None, connect_errors=(ADDRESS_IN_USE)):
    """Reruns a test if the test returns a RuntimeError and the exception
    contains one of the strings in connect_errors."""
    # This if block is executed when using this function as a decorator with arguments.
    if func is None:
        return partial(retry_on_connect_failures, connect_errors=connect_errors)

    @wraps(func)
    def wrapper(*args, **kwargs):
        n_retries = 10
        tries_remaining = n_retries
        while True:
            try:
                return func(*args, **kwargs)
            except RuntimeError as error:
                if any(connect_error in str(error) for connect_error in connect_errors):
                    tries_remaining -= 1
                    if tries_remaining == 0:
                        raise RuntimeError(f"Failing after {n_retries} retries with error: {str(error)}")
                    time.sleep(random.random())
                    continue
                raise
    return wrapper


# Decorator to retry upon certain Exceptions.
def retry(ExceptionToCheck, tries=3, delay=3, skip_after_retries=False):
    def deco_retry(f):
        @wraps(f)
        def f_retry(*args, **kwargs):
            mtries, mdelay = tries, delay
            while mtries > 1:
                try:
                    return f(*args, **kwargs)
                except ExceptionToCheck as e:
                    msg = "%s, Retrying in %d seconds..." % (str(e), mdelay)
                    print(msg)
                    time.sleep(mdelay)
                    mtries -= 1
            try:
                return f(*args, **kwargs)
            except ExceptionToCheck as e:
                raise unittest.SkipTest(f"Skipping after {tries} consecutive {str(e)}") from e if skip_after_retries else e
        return f_retry  # true decorator
    return deco_retry


# FIXME: modernize these to be consistent with make_tensor
#   and review including them in torch.testing
# Methods for matrix generation

def random_square_matrix_of_rank(l, rank, dtype=torch.double, device='cpu'):
    assert rank <= l
    A = torch.randn(l, l, dtype=dtype, device=device)
    u, s, vh = torch.linalg.svd(A, full_matrices=False)
    for i in range(l):
        if i >= rank:
            s[i] = 0
        elif s[i] == 0:
            s[i] = 1
    return (u * s.to(dtype).unsqueeze(-2)) @ vh

def random_well_conditioned_matrix(*shape, dtype, device, mean=1.0, sigma=0.001):
    """
    Returns a random rectangular matrix (batch of matrices)
    with singular values sampled from a Gaussian with
    mean `mean` and standard deviation `sigma`.
    The smaller the `sigma`, the better conditioned
    the output matrix is.
    """
    primitive_dtype = {
        torch.float: torch.float,
        torch.double: torch.double,
        torch.cfloat: torch.float,
        torch.cdouble: torch.double
    }
    x = torch.rand(shape, dtype=dtype, device=device)
    m = x.size(-2)
    n = x.size(-1)
    u, _, vh = torch.linalg.svd(x, full_matrices=False)
    s = (torch.randn(*(shape[:-2] + (min(m, n),)), dtype=primitive_dtype[dtype], device=device) * sigma + mean) \
        .sort(-1, descending=True).values.to(dtype)
    return (u * s.unsqueeze(-2)) @ vh

# Returns a noncontiguous (tensor with the same shape and values as t
# The noncontiguous tensor is constructed such that elements in the innermost
#   dimension are separated by zeros or (whenever possible) nans
# TODO: consider more complicated noncontiguity schemes
def noncontiguous_like(t):
    # Short-circuits if t is already noncontiguous
    if not t.is_contiguous():
        return t

    # Special-cases 0-dim tensors
    zero_dim = t.ndim == 0
    if zero_dim:
        t = t.unsqueeze(0)

    result = torch.repeat_interleave(t.detach(), 2, dim=-1)

    # Choose a "weird" value that won't be accessed
    if t.dtype.is_floating_point or t.dtype.is_complex:
        value = math.nan
    elif t.dtype == torch.bool:
        value = True
    else:
        value = 12

    if zero_dim:
        result[0] = value
        result.set_(result.storage(), 1, (), ())
    else:
        result[..., 1::2] = value
        strides = list(result.stride())
        strides[-1] *= 2
        result.set_(result.storage(), result.storage_offset(), t.size(), stride=tuple(strides))
    result.requires_grad_(t.requires_grad)
    return result

# TODO: remove this (prefer make_symmetric_matrices below)
def random_symmetric_matrix(l, *batches, **kwargs):
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    A = torch.randn(*(batches + (l, l)), dtype=dtype, device=device)
    A = (A + A.mT).div_(2)
    return A

# Creates a symmetric matrix or batch of symmetric matrices
# Shape must be a square matrix or batch of square matrices
def make_symmetric_matrices(*shape, device, dtype):
    assert shape[-1] == shape[-2]
    t = make_tensor(shape, device=device, dtype=dtype)
    t = (t + t.mT).div_(2)
    return t

def random_hermitian_matrix(l, *batches, **kwargs):
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    A = torch.randn(*(batches + (l, l)), dtype=dtype, device=device)
    A = (A + A.mH).div_(2)
    return A


def random_symmetric_psd_matrix(l, *batches, **kwargs):
    """
    Returns a batch of random symmetric positive-semi-definite matrices.
    The shape of the result is batch_dims + (matrix_size, matrix_size)
    The following example creates a tensor of size 2 x 4 x 3 x 3
    >>> matrices = random_symmetric_psd_matrix(3, 2, 4, dtype=dtype, device=device)
    """
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    A = torch.randn(*(batches + (l, l)), dtype=dtype, device=device)
    return A @ A.mT


def random_hermitian_psd_matrix(matrix_size, *batch_dims, dtype=torch.double, device='cpu'):
    """
    Returns a batch of random Hermitian positive-semi-definite matrices.
    The shape of the result is batch_dims + (matrix_size, matrix_size)
    The following example creates a tensor of size 2 x 4 x 3 x 3
    >>> matrices = random_hermitian_psd_matrix(3, 2, 4, dtype=dtype, device=device)
    """
    A = torch.randn(*(batch_dims + (matrix_size, matrix_size)), dtype=dtype, device=device)
    return A @ A.mH


# TODO: remove this (prefer make_symmetric_pd_matrices below)
def random_symmetric_pd_matrix(matrix_size, *batch_dims, **kwargs):
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    A = torch.randn(*(batch_dims + (matrix_size, matrix_size)),
                    dtype=dtype, device=device)
    return torch.matmul(A, A.mT) \
        + torch.eye(matrix_size, dtype=dtype, device=device) * 1e-5


# Creates a symmetric positive-definite matrix or batch of
#   such matrices
def make_symmetric_pd_matrices(*shape, device, dtype):
    assert shape[-1] == shape[-2]
    t = make_tensor(shape, device=device, dtype=dtype)
    i = torch.eye(shape[-1], device=device, dtype=dtype) * 1e-5
    return t @ t.mT + i

def random_hermitian_pd_matrix(matrix_size, *batch_dims, dtype, device):
    """
    Returns a batch of random Hermitian positive-definite matrices.
    The shape of the result is batch_dims + (matrix_size, matrix_size)
    The following example creates a tensor of size 2 x 4 x 3 x 3
    >>> matrices = random_hermitian_pd_matrix(3, 2, 4, dtype=dtype, device=device)
    """
    A = torch.randn(*(batch_dims + (matrix_size, matrix_size)),
                    dtype=dtype, device=device)
    return A @ A.mH + torch.eye(matrix_size, dtype=dtype, device=device)

# Creates a full rank matrix with distinct singular values or
#   a batch of such matrices
def make_fullrank_matrices_with_distinct_singular_values(*shape, device, dtype, requires_grad=False):
    with torch.no_grad():
        t = make_tensor(shape, device=device, dtype=dtype)
        u, _, vh = torch.linalg.svd(t, full_matrices=False)
        real_dtype = t.real.dtype if t.dtype.is_complex else t.dtype
        k = min(shape[-1], shape[-2])
        # We choose the singular values to be "around one"
        # This is to make the matrix well conditioned
        # s = [2, 3, ..., k+1]
        s = torch.arange(2, k + 2, dtype=real_dtype, device=device)
        # s = [2, -3, 4, ..., (-1)^k k+1]
        s[1::2] *= -1.
        # 1 + 1/s so that the singular values are in the range [2/3, 3/2]
        # This gives a condition number of 9/4, which should be good enough
        s.reciprocal_().add_(1.)
        # Note that the singular values need not be ordered in an SVD so
        # we don't need need to sort S
        x = (u * s.to(u.dtype)) @ vh
    x.requires_grad_(requires_grad)
    return x

def random_matrix(rows, columns, *batch_dims, **kwargs):
    """Return rectangular matrix or batches of rectangular matrices.

    Parameters:
      dtype - the data type
      device - the device kind
      singular - when True, the output will be singular
    """
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    silent = kwargs.get("silent", False)
    singular = kwargs.get("singular", False)
    if silent and not torch._C.has_lapack:
        return torch.ones(rows, columns, dtype=dtype, device=device)

    A = torch.randn(batch_dims + (rows, columns), dtype=dtype, device=device)
    if A.numel() == 0:
        return A
    u, _, vh = torch.linalg.svd(A, full_matrices=False)
    k = min(rows, columns)
    s = torch.linspace(1 / (k + 1), 1, k, dtype=dtype, device=device)
    if singular:
        # make matrix singular
        s[k - 1] = 0
        if k > 2:
            # increase the order of singularity so that the pivoting
            # in LU factorization will be non-trivial
            s[0] = 0
    return (u * s.unsqueeze(-2)) @ vh


def random_lowrank_matrix(rank, rows, columns, *batch_dims, **kwargs):
    """Return rectangular matrix or batches of rectangular matrices with
    given rank.
    """
    B = random_matrix(rows, rank, *batch_dims, **kwargs)
    C = random_matrix(rank, columns, *batch_dims, **kwargs)
    return B.matmul(C)


def random_sparse_matrix(rows, columns, density=0.01, **kwargs):
    """Return rectangular random sparse matrix within given density.

    The density of the result approaches to given density as the size
    of the matrix is increased and a relatively small value of density
    is specified but higher than min(rows, columns)/(rows * columns)
    for non-singular matrices.
    """
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    singular = kwargs.get("singular", False)

    k = min(rows, columns)
    nonzero_elements = max(min(rows, columns), int(rows * columns * density))

    row_indices = [i % rows for i in range(nonzero_elements)]
    column_indices = [i % columns for i in range(nonzero_elements)]
    random.shuffle(column_indices)
    indices = [row_indices, column_indices]
    values = torch.randn(nonzero_elements, dtype=dtype, device=device)
    # ensure that the diagonal dominates
    values *= torch.tensor([-float(i - j)**2 for i, j in zip(*indices)], dtype=dtype, device=device).exp()
    indices_tensor = torch.tensor(indices)
    A = torch.sparse_coo_tensor(indices_tensor, values, (rows, columns), device=device)
    return A.coalesce()


def random_sparse_pd_matrix(matrix_size, density=0.01, **kwargs):
    """Return random sparse positive-definite matrix with given density.

    The eigenvalues of the matrix are defined as::
      arange(1, matrix_size+1)/matrix_size

    Algorithm:
      A = diag(arange(1, matrix_size+1)/matrix_size)
      while <A density is smaller than required>:
          <choose random i, j in range(matrix_size), theta in [0, 2*pi]>
          R = <rotation matrix (i,j,theta)>
          A = R^T A R
    """
    import math
    torch = kwargs.get('torch', globals()['torch'])
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    data = dict([((i, i), float(i + 1) / matrix_size)
                 for i in range(matrix_size)])


    def multiply(data, N, i, j, cs, sn, left=True):
        for k in range(N):
            if left:
                ik, jk = (k, i), (k, j)
            else:
                ik, jk = (i, k), (j, k)
            aik, ajk = data.get(ik, 0), data.get(jk, 0)
            aik, ajk = cs * aik + sn * ajk, -sn * aik + cs * ajk
            if aik:
                data[ik] = aik
            else:
                data.pop(ik, None)
            if ajk:
                data[jk] = ajk
            else:
                data.pop(jk, None)

    target_nnz = density * matrix_size * matrix_size
    while len(data) < target_nnz:
        i = random.randint(0, matrix_size - 1)
        j = random.randint(0, matrix_size - 1)
        if i != j:
            theta = random.uniform(0, 2 * math.pi)
            cs = math.cos(theta)
            sn = math.sin(theta)
            multiply(data, matrix_size, i, j, cs, sn, left=True)
            multiply(data, matrix_size, i, j, cs, sn, left=False)
    icoords, jcoords, values = [], [], []
    for (i, j), v in sorted(data.items()):
        icoords.append(i)
        jcoords.append(j)
        values.append(v)
    indices_tensor = torch.tensor([icoords, jcoords])
    return torch.sparse_coo_tensor(indices_tensor, values, (matrix_size, matrix_size), dtype=dtype, device=device)

# FIXME: remove this by updating test suites using it
def do_test_dtypes(self, dtypes, layout, device):
    for dtype in dtypes:
        if dtype != torch.float16:
            out = torch.zeros((2, 3), dtype=dtype, layout=layout, device=device)
            self.assertIs(dtype, out.dtype)
            self.assertIs(layout, out.layout)
            self.assertEqual(device, out.device)

# FIXME: remove this by updating test suites using it
def do_test_empty_full(self, dtypes, layout, device):
    shape = torch.Size([2, 3])

    def check_value(tensor, dtype, layout, device, value, requires_grad):
        self.assertEqual(shape, tensor.shape)
        self.assertIs(dtype, tensor.dtype)
        self.assertIs(layout, tensor.layout)
        self.assertEqual(tensor.requires_grad, requires_grad)
        if tensor.is_cuda and device is not None:
            self.assertEqual(device, tensor.device)
        if value is not None:
            fill = tensor.new(shape).fill_(value)
            self.assertEqual(tensor, fill)

    def get_int64_dtype(dtype):
        module = '.'.join(str(dtype).split('.')[1:-1])
        if not module:
            return torch.int64
        return operator.attrgetter(module)(torch).int64

    default_dtype = torch.get_default_dtype()
    check_value(torch.empty(shape), default_dtype, torch.strided, -1, None, False)
    check_value(torch.full(shape, -5.), default_dtype, torch.strided, -1, None, False)
    for dtype in dtypes:
        for rg in {dtype.is_floating_point, False}:
            int64_dtype = get_int64_dtype(dtype)
            v = torch.empty(shape, dtype=dtype, device=device, layout=layout, requires_grad=rg)
            check_value(v, dtype, layout, device, None, rg)
            out = v.new()
            check_value(torch.empty(shape, out=out, device=device, layout=layout, requires_grad=rg),
                        dtype, layout, device, None, rg)
            check_value(v.new_empty(shape), dtype, layout, device, None, False)
            check_value(v.new_empty(shape, dtype=int64_dtype, device=device, requires_grad=False),
                        int64_dtype, layout, device, None, False)
            check_value(torch.empty_like(v), dtype, layout, device, None, False)
            check_value(torch.empty_like(v, dtype=int64_dtype, layout=layout, device=device, requires_grad=False),
                        int64_dtype, layout, device, None, False)

            if dtype is not torch.float16 and layout != torch.sparse_coo:
                fv = 3
                v = torch.full(shape, fv, dtype=dtype, layout=layout, device=device, requires_grad=rg)
                check_value(v, dtype, layout, device, fv, rg)
                check_value(v.new_full(shape, fv + 1), dtype, layout, device, fv + 1, False)
                out = v.new()
                check_value(torch.full(shape, fv + 2, out=out, device=device, layout=layout, requires_grad=rg),
                            dtype, layout, device, fv + 2, rg)
                check_value(v.new_full(shape, fv + 3, dtype=int64_dtype, device=device, requires_grad=False),
                            int64_dtype, layout, device, fv + 3, False)
                check_value(torch.full_like(v, fv + 4), dtype, layout, device, fv + 4, False)
                check_value(torch.full_like(v, fv + 5,
                                            dtype=int64_dtype, layout=layout, device=device, requires_grad=False),
                            int64_dtype, layout, device, fv + 5, False)

# FIXME: improve load_tests() documentation here
running_script_path = None
def set_running_script_path():
    global running_script_path
    try:
        running_file = os.path.abspath(os.path.realpath(sys.argv[0]))
        if running_file.endswith('.py'):  # skip if the running file is not a script
            running_script_path = running_file
    except Exception:
        pass

def check_test_defined_in_running_script(test_case):
    if running_script_path is None:
        return
    test_case_class_file = os.path.abspath(os.path.realpath(inspect.getfile(test_case.__class__)))
    assert test_case_class_file == running_script_path, "Class of loaded TestCase \"{}\" " \
        "is not defined in the running script \"{}\", but in \"{}\". Did you " \
        "accidentally import a unittest.TestCase from another file?".format(
            test_case.id(), running_script_path, test_case_class_file)

def load_tests(loader, tests, pattern):
    set_running_script_path()
    test_suite = unittest.TestSuite()
    for test_group in tests:
        for test in test_group:
            check_test_defined_in_running_script(test)
            test_suite.addTest(test)
    return test_suite


# FIXME: document this and move it to test_serialization
class BytesIOContext(io.BytesIO):
    def __enter__(self):
        return self

    def __exit__(self, *args):
        pass

# Tentative value for nondet_tol for gradcheck when backward implementation
# relies on nondeterministic operations, i.e., those listed here:
# https://pytorch.org/docs/stable/generated/torch.use_deterministic_algorithms.html
#
# For more information see https://github.com/pytorch/pytorch/issues/56202
GRADCHECK_NONDET_TOL = 1e-12

def gradcheck(fn, inputs, **kwargs):
    # Wrapper around gradcheck that enables certain keys by default.
    # Use this testing-internal gradcheck instead of autograd.gradcheck so that new features like vmap and
    # forward-mode AD are tested by default. We create this wrapper because we'd like to keep new checks
    # to be disabled to default for the public-facing api to avoid breaking user code.
    #
    # All PyTorch devs doing testing should use this wrapper instead of autograd.gradcheck.
    default_values = {
        "check_batched_grad": True,
        "fast_mode": True,
    }

    if os.environ.get('PYTORCH_TEST_WITH_SLOW_GRADCHECK', "0FF") == "ON":
        default_values["fast_mode"] = False

    for key, value in default_values.items():
        # default value override values explicitly set to None
        k = kwargs.get(key, None)
        kwargs[key] = k if k is not None else value

    return torch.autograd.gradcheck(fn, inputs, **kwargs)

def gradgradcheck(fn, inputs, grad_outputs=None, **kwargs):
    # Wrapper around gradgradcheck that enables certain keys by default
    # See gradcheck above for an explanation of why we need something like this.
    #
    # All PyTorch devs doing testing should use this wrapper instead of autograd.gradgradcheck
    default_values = {
        "check_batched_grad": True,
        "fast_mode": True,
    }

    if os.environ.get('PYTORCH_TEST_WITH_SLOW_GRADCHECK', "0FF") == "ON":
        default_values["fast_mode"] = False

    for key, value in default_values.items():
        # default value override values explicitly set to None
        k = kwargs.get(key, None)
        kwargs[key] = k if k is not None else value

    return torch.autograd.gradgradcheck(fn, inputs, grad_outputs, **kwargs)


def _assertGradAndGradgradChecks(test_case, apply_fn, inputs, **kwargs):
    # call assert function rather than returning a bool since it's nicer
    # if we get whether this failed on the gradcheck or the gradgradcheck.
    test_case.assertTrue(gradcheck(apply_fn, inputs, **kwargs))
    test_case.assertTrue(gradgradcheck(apply_fn, inputs, **kwargs))


@contextmanager
def set_cwd(path: str) -> Iterator[None]:
    old_cwd = os.getcwd()
    try:
        os.chdir(path)
        yield
    finally:
        os.chdir(old_cwd)


# FIXME: delete this
# Using @toleranceOverride specific to your test is the recommended way
# of doing this. These are just some values that worked for test_nn.
dtype2prec_DONTUSE = {torch.float: 1e-5,
                      torch.double: 1e-5,
                      torch.half: 1e-2,
                      torch.bfloat16: 1e-1}

# FIXME: move to test_sparse or sparse utils
# This is a wrapper that wraps a test to run this test twice, one with
# coalesced=True, another with coalesced=False for coalesced/uncoalesced sparse tensors.
def coalescedonoff(f):
    @wraps(f)
    def wrapped(self, *args, **kwargs):
        f(self, *args, **kwargs, coalesced=True)
        f(self, *args, **kwargs, coalesced=False)
    return wrapped


@contextlib.contextmanager
def disable_gc():
    if gc.isenabled():
        try:
            gc.disable()
            yield
        finally:
            gc.enable()
    else:
        yield


def find_library_location(lib_name: str) -> Path:
    # return the shared library file in the installed folder if exist,
    # else the file in the build folder
    torch_root = Path(torch.__file__).resolve().parent
    path = torch_root / 'lib' / lib_name
    if os.path.exists(path):
        return path
    torch_root = Path(__file__).resolve().parent.parent.parent
    return torch_root / 'build' / 'lib' / lib_name

def sandcastle_skip(reason):
    """
    Similar to unittest.skip, however in the sandcastle environment it just
    "passes" the test instead to avoid creating tasks complaining about tests
    skipping continuously.
    """
    def decorator(func):
        if not IS_SANDCASTLE:
            func.__unittest_skip__ = True
            func.__unittest_skip_why__ = reason
            return func

        @wraps(func)
        def wrapper(*args, **kwargs):
            print(f'Skipping {func.__name__} on sandcastle for following reason: {reason}', file=sys.stderr)
            return
        return wrapper

    return decorator

def mock_wrapper(method):
    """
    Returns a function that calls the real implementation of a method
    in addition to passing args to a mock object.
    """
    mock = MagicMock()

    @wraps(method)
    def wrapper(self, *args, **kwargs):
        mock(*args, **kwargs)
        return method(self, *args, **kwargs)
    wrapper.mock = mock  # type: ignore[attr-defined]
    return wrapper

def get_tensors_from(args, kwargs):
    """ Returns a set of all Tensor objects in the given args and kwargs. """
    return set([arg for arg in args if isinstance(arg, Tensor)] +
               [v for v in kwargs.values() if isinstance(v, Tensor)])


# Returns scalar tensor representation of a list of integer byte values
def bytes_to_scalar(byte_list: List[int], dtype: torch.dtype, device: torch.device):
    dtype_to_ctype: Dict[torch.dtype, Any] = {
        torch.int8: ctypes.c_int8,
        torch.uint8: ctypes.c_uint8,
        torch.int16: ctypes.c_int16,
        torch.int32: ctypes.c_int32,
        torch.int64: ctypes.c_int64,
        torch.bool: ctypes.c_bool,
        torch.float32: ctypes.c_float,
        torch.complex64: ctypes.c_float,
        torch.float64: ctypes.c_double,
        torch.complex128: ctypes.c_double,
    }
    ctype = dtype_to_ctype[dtype]
    num_bytes = ctypes.sizeof(ctype)

    def check_bytes(byte_list):
        for byte in byte_list:
            assert 0 <= byte <= 255

    if dtype.is_complex:
        assert len(byte_list) == (num_bytes * 2)
        check_bytes(byte_list)
        real = ctype.from_buffer((ctypes.c_byte * num_bytes)(
            *byte_list[:num_bytes])).value
        imag = ctype.from_buffer((ctypes.c_byte * num_bytes)(
            *byte_list[num_bytes:])).value
        res = real + 1j * imag
    else:
        assert len(byte_list) == num_bytes
        check_bytes(byte_list)
        res = ctype.from_buffer((ctypes.c_byte * num_bytes)(
            *byte_list)).value

    return torch.tensor(res, device=device, dtype=dtype)


def has_breakpad():
    # We always build with breakpad in CI
    if IS_IN_CI:
        return True

    # If not on a special build, check that the library was actually linked in
    try:
        torch._C._get_minidump_directory()  # type: ignore[attr-defined]
        return True
    except RuntimeError as e:
        if "Minidump handler is uninintialized" in str(e):
            return True
        return False


def sandcastle_skip_if(condition, reason):
    """
    Similar to unittest.skipIf, however in the sandcastle environment it just
    "passes" the test instead to avoid creating tasks complaining about tests
    skipping continuously.
    """
    def decorator(func):

        if not IS_SANDCASTLE and condition:
            func.__unittest_skip__ = True
            func.__unittest_skip_why__ = reason
            return func

        @wraps(func)
        def wrapper(*args, **kwargs):
            if condition and IS_SANDCASTLE:
                print(f'Skipping {func.__name__} on sandcastle for following reason: {reason}', file=sys.stderr)
                return
            else:
                return func(*args, **kwargs)
        return wrapper

    return decorator

def dtype_name(dtype):
    """ Returns the pretty name of the dtype (e.g. torch.int64 -> int64). """
    return str(dtype).split('.')[1]


def set_single_threaded_if_parallel_tbb(fn):
    """Set test to be single threaded for parallel tbb.

    See https://github.com/pytorch/pytorch/issues/64571#issuecomment-914691883
    """
    if not IS_TBB:
        return fn

    @wraps(fn)
    def wrap_fn(*args, **kwargs):
        num_threads = torch.get_num_threads()
        torch.set_num_threads(1)
        try:
            return fn(*args, **kwargs)
        finally:
            torch.set_num_threads(num_threads)
    return wrap_fn


@functools.lru_cache()
def get_cycles_per_ms() -> float:
    """Measure and return approximate number of cycles per millisecond for torch.cuda._sleep
    """

    def measure() -> float:
        start = torch.cuda.Event(enable_timing=True)
        end = torch.cuda.Event(enable_timing=True)
        start.record()
        torch.cuda._sleep(1000000)
        end.record()
        end.synchronize()
        cycles_per_ms = 1000000 / start.elapsed_time(end)
        return cycles_per_ms

    # Get 10 values and remove the 2 max and 2 min and return the avg.
    # This is to avoid system disturbance that skew the results, e.g.
    # the very first cuda call likely does a bunch of init, which takes
    # much longer than subsequent calls.
    #
    # Tested on both Tesla V100, Quadro GP100, Titan RTX, RTX 3090 GPUs
    # and seems to return stable values. Therefore, we enable caching
    # using lru_cache decorator above.
    num = 10
    vals = []
    for _ in range(num):
        vals.append(measure())
    vals = sorted(vals)
    return mean(vals[2 : num - 2])


# OpInfo utils

T = TypeVar('T')
def first_sample(self: unittest.TestCase, samples: Iterable[T]) -> T:
    """
    Returns the first sample from an iterable of samples, like those returned by OpInfo.
    The test will be skipped if no samples are available.
    """
    try:
        return next(iter(samples))
    except StopIteration:
        raise unittest.SkipTest('Skipped! Need at least 1 sample input')

# this helper method is to recursively
# clone the tensor-type input of operators tested by OpInfo
def clone_input_helper(input):
    if isinstance(input, torch.Tensor):
        return torch.clone(input)

    if isinstance(input, Sequence):
        return tuple(map(clone_input_helper, input))

    return input
