pytorch/torch/testing/_internal/common_utils.py

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 operator
import argparse
import unittest
import warnings
import random
import contextlib
import shutil
import socket
import subprocess
import time
from collections import OrderedDict
from contextlib import contextmanager
from functools import wraps
from itertools import product
from copy import deepcopy
from numbers import Number
import tempfile
import json
from urllib.request import urlopen
import __main__  # type: ignore[import]
import errno
from typing import cast, Any, Dict, Iterable, Optional

from torch.testing._internal import expecttest
from torch.testing import \
    (_compare_tensors_internal, _compare_scalars_internal, _compare_return_type,
     floating_types_and, integral_types, complex_types)

import torch
import torch.cuda
from torch._utils_internal import get_writable_path
from torch._six import string_classes
import torch.backends.cudnn
import torch.backends.mkl
from enum import Enum
from torch.autograd import gradcheck
from torch.autograd.gradcheck import gradgradcheck

torch.backends.disable_global_flags()

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

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'

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(add_help=False)
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 bool(os.environ.get('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)

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()


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)

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 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)


# Used to run the same test with different tensor types
def repeat_test_for_types(dtypes):
    def repeat_helper(f):
        @wraps(f)
        def call_helper(self, *args):
            for dtype in dtypes:
                with TestCase.subTest(self, dtype=dtype):
                    f(self, *args, dtype=dtype)

        return call_helper
    return repeat_helper

# Environment variable `IS_PYTORCH_CI` is set in `.jenkins/common.sh`.
IS_PYTORCH_CI = bool(os.environ.get('IS_PYTORCH_CI'))


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


def run_tests(argv=UNITTEST_ARGS):
    if TEST_DISCOVER:
        suite = unittest.TestLoader().loadTestsFromModule(__main__)
        test_cases = discover_test_cases_recursively(suite)
        for name in get_test_names(test_cases):
            print(name)
    elif TEST_IN_SUBPROCESS:
        suite = unittest.TestLoader().loadTestsFromModule(__main__)
        test_cases = discover_test_cases_recursively(suite)
        failed_tests = []
        for case in test_cases:
            test_case_full_name = case.id().split('.', 1)[1]
            exitcode = shell([sys.executable] + argv + [test_case_full_name])
            if exitcode != 0:
                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:
        suite = unittest.TestLoader().loadTestsFromModule(__main__)
        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_report_path = TEST_SAVE_XML + LOG_SUFFIX
        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_WINDOWS = sys.platform == "win32"
IS_MACOS = sys.platform == "darwin"
IS_PPC = platform.machine() == "ppc64le"

if IS_WINDOWS:
    @contextmanager
    def TemporaryFileName(dir=None):
        # 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
        f = tempfile.NamedTemporaryFile(delete=False, dir=dir)
        try:
            f.close()
            yield f.name
        finally:
            os.unlink(f.name)
else:
    @contextmanager  # noqa: T484
    def TemporaryFileName(dir=None):
        with tempfile.NamedTemporaryFile(dir=dir) 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):
    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).
    """
    import importlib
    import importlib.util
    spec = importlib.util.find_spec(name)
    return spec is not None

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

TEST_DILL = _check_module_exists('dill')

TEST_LIBROSA = _check_module_exists('librosa')

# 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_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'
# 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'

if TEST_NUMPY:
    import numpy as np

    # 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
    }

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

ALL_TENSORTYPES = [torch.float,
                   torch.double,
                   torch.half]

# bfloat16 bringup is currently only available on ROCm
# ALL_TENSORTYPES2 will eventually be unified with ALL_TENSORTYPES
# when bfloat16 bringup is complete on all platforms
if TEST_WITH_ROCM:
    ALL_TENSORTYPES2 = [torch.float,
                        torch.double,
                        torch.half,
                        torch.bfloat16]
else:
    ALL_TENSORTYPES2 = ALL_TENSORTYPES

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

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

    def __enter__(self):
        self.deterministic_restore = torch.is_deterministic()
        torch.set_deterministic(self.deterministic)

    def __exit__(self, exception_type, exception_value, traceback):
        torch.set_deterministic(self.deterministic_restore)

# This decorator can be used for API tests that call torch.set_deterministic().
# 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.is_deterministic()):
            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
    """
    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 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


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 get_cpu_type(type_name):
    module, name = type_name.rsplit('.', 1)
    assert module == 'torch.cuda'
    return getattr(torch, name)


def get_gpu_type(type_name):
    if isinstance(type_name, type):
        type_name = '{}.{}'.format(type_name.__module__, type_name.__name__)
    module, name = type_name.rsplit('.', 1)
    assert module == 'torch'
    return getattr(torch.cuda, name)


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.type(), get_gpu_type(obj.type()))
        with torch.no_grad():
            res = obj.clone().type(t)
            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():
    rng_state = torch.get_rng_state()
    if torch.cuda.is_available():
        cuda_rng_state = torch.cuda.get_rng_state()
    yield
    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)
    yield
    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

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()

    @staticmethod
    def get_cuda_memory_usage():
        # we don't need CUDA synchronize because the statistics are not tracked at
        # actual freeing, but at when marking the block as free.
        num_devices = torch.cuda.device_count()
        gc.collect()
        return tuple(torch.cuda.memory_allocated(i) for i in range(num_devices))

    def __enter__(self):
        self.befores = self.get_cuda_memory_usage()

    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

        afters = self.get_cuda_memory_usage()

        for i, (before, after) in enumerate(zip(self.befores, afters)):
            self.testcase.assertEqual(
                before, after, msg='{} leaked {} bytes CUDA memory on device {}'.format(
                    self.name, after - before, i))

#  "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_PYTORCH_CI else os.getenv('PYTORCH_HYPOTHESIS_PROFILE',
                                                     'dev')
    )
except ImportError:
    print('Fail to import hypothesis in common_utils, tests are not derandomized')

disabled_test_from_issues: Optional[Dict[str, Any]] = None
def check_disabled(test_name):
    global disabled_test_from_issues
    if disabled_test_from_issues is None:
        _disabled_test_from_issues: Dict = {}

        def read_and_process():
            url = 'https://raw.githubusercontent.com/zdevito/pytorch_disabled_tests/master/result.json'
            contents = urlopen(url, timeout=1).read().decode('utf-8')
            the_response = json.loads(contents)
            for item in the_response['items']:
                title = item['title']
                key = 'DISABLED '
                if title.startswith(key):
                    test_name = title[len(key):].strip()
                    _disabled_test_from_issues[test_name] = item['html_url']

        if not IS_SANDCASTLE and os.getenv("PYTORCH_RUN_DISABLED_TESTS", "0") != "1":
            try:
                read_and_process()
                disabled_test_from_issues = _disabled_test_from_issues
            except Exception:
                print("Couldn't download test skip set, leaving all tests enabled...")
                disabled_test_from_issues = {}

    if disabled_test_from_issues is not None:
        if test_name in disabled_test_from_issues:
            raise unittest.SkipTest(
                "Test is disabled because an issue exists disabling it: {}".format(disabled_test_from_issues[test_name]) +
                " To enable set the environment variable PYTORCH_RUN_DISABLED_TESTS=1")

# Acquires the comparison dtype, required since isclose
# requires both inputs have the same dtype, and isclose is not supported
# for some device x dtype combinations.
# NOTE: Remaps bfloat16 to float32 since neither the CPU or CUDA device types
#  support needed bfloat16 comparison methods.
# NOTE: Remaps float16 to float32 on CPU since the CPU device type doesn't
#   support needed float16 comparison methods.
# TODO: Update this once bfloat16 and float16 are better supported.
def get_comparison_dtype(a, b):
    # TODO: update this when promote_types supports bfloat16 and/or
    # isclose supports bfloat16.
    a_dtype = torch.float32 if a.dtype is torch.bfloat16 else a.dtype
    b_dtype = torch.float32 if b.dtype is torch.bfloat16 else b.dtype

    compare_dtype = torch.promote_types(a_dtype, b_dtype)

    # non-CUDA (CPU, for example) float16 -> float32
    # TODO: update this when isclose is implemented for CPU float16
    if (compare_dtype is torch.float16 and
        (a.device != b.device or a.device.type != 'cuda' or
            b.device.type != 'cuda')):
        compare_dtype = torch.float32

    return compare_dtype

class TestCase(expecttest.TestCase):
    # NOTE: "precision" lets classes and generated tests set minimum
    # atol values when comparing tensors. Used by @precisionOverride, for
    # example.
    # TODO: provide a better mechanism for generated tests to set rtol/atol.
    _precision: float = 0

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

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

    _do_cuda_memory_leak_check = False
    _do_cuda_non_default_stream = 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.
            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)

    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.
        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_cuda_policy(test_method, policy))

    def wrap_method_with_cuda_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_cuda_policy(method, self.assertLeaksNoCudaTensors)


    def setUp(self):


        if TEST_SKIP_FAST:
            if not getattr(self, self._testMethodName).__dict__.get('slow_test', False):
                raise unittest.SkipTest("test is fast; we disabled it with PYTORCH_TEST_SKIP_FAST")
        check_disabled(str(self))

        set_rng_seed(SEED)

    def genSparseTensor(self, size, sparse_dim, nnz, is_uncoalesced, device='cpu'):
        # 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 = torch.randn(*v_size, device=device)
        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))

        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 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: support bfloat16 comparisons
    # 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
        assert dtype is not torch.bfloat16

        if isinstance(tensor_like, torch.Tensor):
            assert device is None
            assert dtype is None
            a = tensor_like.detach().cpu().numpy()
            t = tensor_like
        else:
            a = np.array(tensor_like, dtype=torch_to_numpy_dtype_dict[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())

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

    # Some analysis of tolerance by logging tests from test_torch.py can be found
    # in https://github.com/pytorch/pytorch/pull/32538.
    # dtype name : (rtol, atol)
    dtype_precisions = {
        torch.float16    : (0.001, 1e-5),
        torch.bfloat16   : (0.016, 1e-5),
        torch.float32    : (1.3e-6, 1e-5),
        torch.float64    : (1e-7, 1e-7),
        torch.complex32  : (0.001, 1e-5),
        torch.complex64  : (1.3e-6, 1e-5),
        torch.complex128 : (1e-7, 1e-7),
    }

    # Returns the "default" rtol and atol for comparing scalars or
    # tensors of the given dtypes.
    def _getDefaultRtolAndAtol(self, dtype0, dtype1):
        rtol = max(self.dtype_precisions.get(dtype0, (0, 0))[0],
                   self.dtype_precisions.get(dtype1, (0, 0))[0])
        atol = max(self.dtype_precisions.get(dtype0, (0, 0))[1],
                   self.dtype_precisions.get(dtype1, (0, 0))[1])

        return rtol, atol

    # Checks if two dense tensors are equal(-ish), returning (True, None)
    #   when they are and (False, debug_msg) when they are not.
    # If exact_dtype is true both tensors must have the same dtype.
    # If exact_device is true both tensors must be on the same device.
    # See the "Test Framework Tensor 'Equality'" note for more details.
    # NOTE: tensors on different devices are moved to the CPU to be compared when
    #   exact_device is False.
    # NOTE: this function checks the tensors' devices, sizes, and dtypes
    #  and acquires the appropriate device, dtype, rtol and atol to compare
    #  them with. It then calls _compare_tensors_internal.
    def _compareTensors(self, a, b, *, rtol: Optional[float] = None, atol=None, equal_nan=True,
                        exact_dtype=True, exact_device=False) -> _compare_return_type:
        assert (atol is None) == (rtol is None)
        if not isinstance(a, torch.Tensor):
            return (False, "argument a, {0}, to _compareTensors is not a tensor!".format(a))
        if not isinstance(b, torch.Tensor):
            return (False, "argument b, {0}, to _compareTensors is not a tensor!".format(b))

        # Validates tensors are on the same device
        if exact_device and a.device != b.device:
            return (False, ("Attempted to compare equality of tensors on "
                            "different devices! Got devices {0} and "
                            "{1}.".format(a.device, b.device)))

        # Compares tensors of different devices on the CPU
        if a.device != b.device:
            a = a.cpu()
            b = b.cpu()

        # Checks size matches
        if a.size() != b.size():
            return (False, ("Attempted to compare equality of tensors with "
                            "different sizes. Got sizes {0} and {1}.").format(a.size(), b.size()))

        # Checks dtype (if exact_dtype)
        if exact_dtype and a.dtype is not b.dtype:
            return (False, ("Attempted to compare equality of tensors with "
                            "different dtypes. Got dtypes {0} and {1}.").format(a.dtype, b.dtype))

        # Acquires rtol and atol
        if rtol is None:
            rtol, atol = self._getDefaultRtolAndAtol(a.dtype, b.dtype)

        atol = max(atol, self.precision)

        # Converts to comparison dtype
        dtype = get_comparison_dtype(a, b)
        a = a.to(dtype)
        b = b.to(dtype)

        return _compare_tensors_internal(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan)

    # Checks if two scalars are equal(-ish), returning (True, None)
    #   when they are and (False, debug_msg) when they are not.
    # NOTE: this function just acquires rtol and atol
    #   before calling _compare_scalars_internal.
    def _compareScalars(self, a, b, *,
                        rtol: Optional[float] = None, atol: Optional[float] = None, equal_nan=True) -> _compare_return_type:
        # Acquires rtol and atol
        assert (atol is None) == (rtol is None)
        if rtol is None:
            if isinstance(a, complex) or isinstance(b, complex):
                rtol, atol = self._getDefaultRtolAndAtol(torch.complex64, torch.complex64)
            elif isinstance(a, float) or isinstance(b, float):
                rtol, atol = self._getDefaultRtolAndAtol(torch.float32, torch.float32)
            else:
                rtol, atol = 0, 0
        rtol = cast(float, rtol)
        atol = cast(float, atol)
        assert atol is not None
        atol = max(atol, self.precision)

        return _compare_scalars_internal(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan)

    # Construct assert messages basd on internal debug message and user provided message.
    def _get_assert_msg(self, msg, debug_msg=None):
        if msg is None:
            return debug_msg
        else:
            return f"\n{msg}" if debug_msg is None else f"{debug_msg}\n{msg}"

    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)

    # Compares x and y
    # TODO: default exact_device to True
    def assertEqual(self, x, y, msg: Optional[str] = None, *,
                    atol: Optional[float] = None, rtol: Optional[float] = None,
                    equal_nan=True, exact_dtype=True, exact_device=False) -> None:
        assert (atol is None) == (rtol is None), "If one of atol or rtol is specified, then the other must be too"
        debug_msg: Optional[str] = None

        # Tensor x Number and Number x Tensor comparisons
        if isinstance(x, torch.Tensor) and isinstance(y, Number):
            self.assertEqual(x.item(), y, atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        elif isinstance(y, torch.Tensor) and isinstance(x, Number):
            self.assertEqual(x, y.item(), atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        # Tensor x np.bool
        elif isinstance(x, torch.Tensor) and isinstance(y, np.bool_):
            self.assertEqual(x.item(), y, atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        elif isinstance(y, torch.Tensor) and isinstance(x, np.bool_):
            self.assertEqual(x, y.item(), atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)

        # Tensor x Tensor
        elif isinstance(x, torch.Tensor) and isinstance(y, torch.Tensor):
            debug_msg = ("Attempted to compare with different is_sparse settings: "
                         f"Expected: {x.is_sparse}; Actual: {y.is_sparse}.")
            super().assertEqual(x.is_sparse, y.is_sparse, msg=self._get_assert_msg(msg=msg, debug_msg=debug_msg))
            debug_msg = ("Attempted to compare with different is_quantized settings: "
                         f"Expected: {x.is_quantized}; Actual: {y.is_quantized}.")
            super().assertEqual(x.is_quantized, y.is_quantized, msg=self._get_assert_msg(msg=msg, debug_msg=debug_msg))
            if x.is_sparse:
                if x.size() != y.size():
                    debug_msg_sparse = ("Attempted to compare equality of tensors with different sizes: "
                                        f"Expected: {x.size()}; Actual: {y.size()}.")
                    super().assertTrue(False, msg=self._get_assert_msg(msg=msg, debug_msg=debug_msg_sparse))

                x = x.coalesce()
                y = y.coalesce()
                indices_result, debug_msg_indices = self._compareTensors(x._indices(), y._indices(),
                                                                         rtol=rtol, atol=atol,
                                                                         equal_nan=equal_nan, exact_dtype=exact_dtype,
                                                                         exact_device=exact_device)

                if not indices_result:
                    assert debug_msg_indices is not None
                    debug_msg = "Sparse tensor indices failed to compare as equal! " + debug_msg_indices
                super().assertTrue(indices_result, msg=self._get_assert_msg(msg, debug_msg=debug_msg))

                values_result, debug_msg_values = self._compareTensors(x._values(), y._values(),
                                                                       rtol=rtol, atol=atol,
                                                                       equal_nan=equal_nan, exact_dtype=exact_dtype,
                                                                       exact_device=exact_device)

                if not values_result:
                    assert debug_msg_values is not None
                    debug_msg = "Sparse tensor values failed to compare as equal! " + debug_msg_values
                super().assertTrue(values_result, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
            elif x.is_quantized and y.is_quantized:
                self.assertEqual(x.qscheme(), y.qscheme(), atol=atol, rtol=rtol,
                                 msg=msg, exact_dtype=exact_dtype,
                                 exact_device=exact_device)

                if x.qscheme() == torch.per_tensor_affine:
                    self.assertEqual(x.q_scale(), y.q_scale(), atol=atol, rtol=rtol,
                                     msg=msg, exact_dtype=exact_dtype,
                                     exact_device=exact_device)
                    self.assertEqual(x.q_zero_point(), y.q_zero_point(),
                                     atol=atol, rtol=rtol, msg=msg,
                                     exact_dtype=exact_dtype, exact_device=exact_device)
                elif x.qscheme() == torch.per_channel_affine:
                    self.assertEqual(x.q_per_channel_scales(), y.q_per_channel_scales(), atol=atol, rtol=rtol,
                                     msg=msg, exact_dtype=exact_dtype,
                                     exact_device=exact_device)
                    self.assertEqual(x.q_per_channel_zero_points(), y.q_per_channel_zero_points(),
                                     atol=atol, rtol=rtol, msg=msg,
                                     exact_dtype=exact_dtype, exact_device=exact_device)
                    self.assertEqual(x.q_per_channel_axis(), y.q_per_channel_axis(),
                                     atol=atol, rtol=rtol, msg=msg,
                                     exact_dtype=exact_dtype, exact_device=exact_device)

                result, debug_msg_compare = self._compareTensors(x.int_repr().to(torch.int32),
                                                                 y.int_repr().to(torch.int32),
                                                                 atol=atol, rtol=rtol,
                                                                 exact_dtype=exact_dtype,
                                                                 exact_device=exact_device)

                if not result:
                    assert debug_msg_compare is not None
                    debug_msg = "Quantized representations failed to compare as equal! " + debug_msg_compare
                super().assertTrue(result, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
            else:
                result, debug_msg_generic = self._compareTensors(x, y, rtol=rtol, atol=atol,
                                                                 equal_nan=equal_nan, exact_dtype=exact_dtype,
                                                                 exact_device=exact_device)

                if not result:
                    assert debug_msg_generic is not None
                    debug_msg = "Tensors failed to compare as equal!" + debug_msg_generic
                super().assertTrue(result, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
        elif isinstance(x, string_classes) and isinstance(y, string_classes):
            debug_msg = ("Attempted to compare [string] types: "
                         f"Expected: {repr(x)}; Actual: {repr(y)}.")
            super().assertEqual(x, y, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
        elif type(x) == set and type(y) == set:
            debug_msg = ("Attempted to compare [set] types: "
                         f"Expected: {x}; Actual: {y}.")
            super().assertEqual(x, y, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
        elif isinstance(x, dict) and isinstance(y, dict):
            if isinstance(x, OrderedDict) and isinstance(y, OrderedDict):
                self.assertEqual(x.items(), y.items(), atol=atol, rtol=rtol,
                                 msg=msg, exact_dtype=exact_dtype,
                                 exact_device=exact_device)
            else:
                self.assertEqual(set(x.keys()), set(y.keys()), atol=atol, rtol=rtol,
                                 msg=msg, exact_dtype=exact_dtype,
                                 exact_device=exact_device)
                key_list = list(x.keys())
                self.assertEqual([x[k] for k in key_list],
                                 [y[k] for k in key_list],
                                 atol=atol, rtol=rtol, msg=msg,
                                 exact_dtype=exact_dtype, exact_device=exact_device)
        elif isinstance(x, type) and isinstance(y, type):
            # See TestTorch.test_assert_equal_generic_meta
            debug_msg = ("Attempted to compare [type] types: "
                         f"Expected: {x}; Actual: {y}.")
            super().assertEqual(x, y, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
        elif is_iterable(x) and is_iterable(y):
            debug_msg = ("Attempted to compare the lengths of [iterable] types: "
                         f"Expected: {len(x)}; Actual: {len(y)}.")
            super().assertEqual(len(x), len(y), msg=self._get_assert_msg(msg, debug_msg=debug_msg))
            for x_, y_ in zip(x, y):
                self.assertEqual(x_, y_, atol=atol, rtol=rtol, msg=msg,
                                 exact_dtype=exact_dtype, exact_device=exact_device)
        elif isinstance(x, bool) and isinstance(y, bool):
            super().assertTrue(x == y, msg=msg)

        # Scalar x Scalar
        elif isinstance(x, Number) and isinstance(y, Number):
            result, debug_msg_scalars = self._compareScalars(x, y, rtol=rtol, atol=atol,
                                                             equal_nan=equal_nan)
            if not result:
                assert debug_msg_scalars is not None
                debug_msg = "Scalars failed to compare as equal! " + debug_msg_scalars
            super().assertTrue(result, msg=self._get_assert_msg(msg, debug_msg=debug_msg))
        # Tensor x Numpy array
        elif isinstance(x, torch.Tensor) and isinstance(y, np.ndarray):
            self.assertEqual(x, torch.from_numpy(y), atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        # Numpy array x Tensor
        elif isinstance(x, np.ndarray) and isinstance(y, torch.Tensor):
            self.assertEqual(torch.from_numpy(x), y, atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        # Numpy array x Numpy array
        elif isinstance(x, np.ndarray) and isinstance(y, np.ndarray):
            self.assertEqual(torch.from_numpy(x), torch.from_numpy(y), atol=atol, rtol=rtol, msg=msg,
                             exact_dtype=exact_dtype, exact_device=exact_device)
        else:
            super().assertEqual(x, y, msg=msg)

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

    # 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
            callable()
            self.assertTrue(len(ws) == 0, msg)

    @contextmanager
    def maybeWarnsRegex(self, category, regex=''):
        """Context manager for code that *may* warn, e.g. ``TORCH_WARN_ONCE``.

        This filters expected warnings from the test log and fails the test if
        any unexpected warnings are caught.
        """
        with warnings.catch_warnings(record=True) as ws:
            warnings.simplefilter("always")  # allow any warning to be raised
            # Ignore expected warnings
            warnings.filterwarnings("ignore", message=regex, category=category)
            try:
                yield
            finally:
                if len(ws) != 0:
                    msg = 'Caught unexpected warnings:\n'
                    for w in ws:
                        msg += warnings.formatwarning(
                            str(w.message), w.category, w.filename, w.lineno, w.line)
                        msg += '\n'
                    self.fail(msg)

    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'\1producer_version: "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)

    # returns captured stderr
    @staticmethod
    def runWithPytorchAPIUsageStderr(code):
        import subprocess

        env = os.environ.copy()
        env["PYTORCH_API_USAGE_STDERR"] = "1"
        pipes = subprocess.Popen(
            [sys.executable, '-c', code],
            stdout=subprocess.PIPE,
            stderr=subprocess.PIPE,
            env=env)
        return pipes.communicate()[1].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():
    sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    sock.setsockopt(socket.SOL_SOCKET, socket.SO_REUSEADDR, 1)
    sock.bind(('localhost', 0))
    sockname = sock.getsockname()
    sock.close()
    return sockname[1]

# 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
    matches exactly with 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):
        tries_remaining = 10
        while True:
            try:
                return func(*args, **kwargs)
            except RuntimeError as error:
                if str(error) in connect_errors:
                    tries_remaining -= 1
                    if tries_remaining == 0:
                        raise
                    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


# Methods for matrix and tensor generation

# Used in test_autograd.py and test_torch.py
def make_tensor(size, device: torch.device, dtype: torch.dtype, *,
                low, high, requires_grad: bool = False) -> torch.Tensor:
    """Returns a tensor of the specified size on the given device and dtype.
       The tensors values are between -9 and 9, inclusive, for most dtypes,
       unless low (high) is not None in which case the values are between
       max(-9, low) and min(9, high).
       For unsigned types the values are between 0 and 9, and for complex
       dtypes the real and imaginary parts are each between -9 and 9,
       independently."""

    assert low is None or low < 9, "low value too high!"
    assert high is None or high > -9, "high value too low!"

    if dtype is torch.bool:
        return torch.randint(0, 2, size, device=device, dtype=dtype)

    if dtype is torch.uint8:
        low = math.floor(0 if low is None else max(low, 0))
        high = math.ceil(10 if high is None else min(high, 10))
        return torch.randint(low, high, size, device=device, dtype=dtype)
    elif dtype in integral_types():
        low = math.floor(-9 if low is None else max(low, -9))
        high = math.ceil(10 if high is None else min(high, 10))
        return torch.randint(low, high, size, device=device, dtype=dtype)
    elif dtype in floating_types_and(torch.half, torch.bfloat16):
        low = -9 if low is None else max(low, -9)
        high = 9 if high is None else min(high, 10)
        span = high - low
        # Windows doesn't support torch.rand(bfloat16) on CUDA
        if IS_WINDOWS and torch.device(device).type == 'cuda' and dtype is torch.bfloat16:
            t = (torch.rand(size, device=device, dtype=torch.float32) * span + low).to(torch.bfloat16)
        else:
            t = torch.rand(size, device=device, dtype=dtype) * span + low
        t.requires_grad = requires_grad
        return t
    else:
        assert dtype in complex_types()
        low = -9 if low is None else max(low, -9)
        high = 9 if high is None else min(high, 10)
        span = high - low
        float_dtype = torch.float if dtype is torch.cfloat else torch.double
        real = torch.rand(size, device=device, dtype=float_dtype) * span + low
        imag = torch.rand(size, device=device, dtype=float_dtype) * span + low
        c = torch.complex(real, imag)
        c.requires_grad = requires_grad
        return c


def prod_single_zero(dim_size):
    result = torch.randn(dim_size, dim_size)
    result[0, 1] = 0
    return result


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, v = A.svd()
    for i in range(l):
        if i >= rank:
            s[i] = 0
        elif s[i] == 0:
            s[i] = 1
    return u.mm(torch.diag(s)).mm(v.transpose(0, 1))


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.transpose(-2, -1)).div_(2)
    return A


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.transpose(-2, -1).conj()).div_(2)
    return A


def random_symmetric_psd_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)
    return torch.matmul(A, A.transpose(-2, -1))


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.transpose(-2, -1)) \
        + torch.eye(matrix_size, dtype=dtype, device=device) * 1e-5


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 torch.matmul(A, A.transpose(-2, -1).conj()) \
        + torch.eye(matrix_size, dtype=dtype, device=device)


def make_nonzero_det(A, sign=None, min_singular_value=0.1):
    u, s, v = A.svd()
    s.clamp_(min=min_singular_value)
    A = torch.matmul(u, torch.matmul(torch.diag_embed(s), v.transpose(-2, -1)))
    det = A.det()
    if sign is not None:
        if A.dim() == 2:
            det = det.item()
            if (det < 0) ^ (sign < 0):
                A[0, :].neg_()
        else:
            cond = ((det < 0) ^ (sign < 0)).nonzero()
            if cond.size(0) > 0:
                for i in range(cond.size(0)):
                    A[list(cond[i])][0, :].neg_()
    return A


def random_fullrank_matrix_distinct_singular_value(matrix_size, *batch_dims,
                                                   **kwargs):
    dtype = kwargs.get('dtype', torch.double)
    device = kwargs.get('device', 'cpu')
    silent = kwargs.get("silent", False)
    if silent and not torch._C.has_lapack:
        return torch.ones(matrix_size, matrix_size, dtype=dtype, device=device)

    A = torch.randn(batch_dims + (matrix_size, matrix_size), dtype=dtype, device=device)
    u, _, v = A.svd()
    real_dtype = A.real.dtype if A.dtype.is_complex else A.dtype
    s = torch.arange(1., matrix_size + 1, dtype=real_dtype, device=device).mul_(1.0 / (matrix_size + 1)).diag()
    return u.matmul(s.expand(batch_dims + (matrix_size, matrix_size)).to(A.dtype).matmul(v.transpose(-2, -1)))


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)
    u, _, v = A.svd(some=False)
    s = torch.zeros(rows, columns, dtype=dtype, device=device)
    k = min(rows, columns)
    for i in range(k):
        s[i, i] = float(i + 1) / (k + 1)
    if singular:
        # make matrix singular
        s[k - 1, 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] = 0
    return u.matmul(s.expand(batch_dims + (rows, columns)).matmul(v.transpose(-2, -1)))


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)


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)


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)




THESE_TAKE_WAY_TOO_LONG = {
    'test_Conv3d_groups',
    'test_conv_double_backward',
    'test_conv_double_backward_groups',
    'test_Conv3d_dilated',
    'test_Conv3d_stride_padding',
    'test_Conv3d_dilated_strided',
    'test_Conv3d',
    'test_Conv2d_dilated',
    'test_ConvTranspose3d_dilated',
    'test_ConvTranspose2d_dilated',
    'test_snli',
    'test_Conv2d',
    'test_Conv2d_padding',
    'test_ConvTranspose2d_no_bias',
    'test_ConvTranspose2d',
    'test_ConvTranspose3d',
    'test_Conv2d_no_bias',
    'test_matmul_4d_4d',
    'test_multinomial_invalid_probs',
}


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


class BytesIOContext(io.BytesIO):
    def __enter__(self):
        return self

    def __exit__(self, *args):
        pass

def _assertGradAndGradgradChecks(test_case, apply_fn, inputs):
    # 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))
    test_case.assertTrue(gradgradcheck(apply_fn, inputs))


# Using @precisionOverride 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}