from __future__ import print_function
import collections
import io
import sys
import os
import re
import threading
import time
import torch
import torch.nn.functional as F
import torch_xla
import torch_xla.core.xla_env_vars as xenv
import torch_xla.debug.metrics_saver as ms
import torch_xla.utils.utils as xu
import torch_xla.utils.keyd_queue as kq
_DEVICES = xu.LazyProperty(lambda: torch_xla._XLAC._xla_get_devices())
REDUCE_SUM = 'sum'
REDUCE_MUL = 'mul'
REDUCE_AND = 'and'
REDUCE_OR = 'or'
REDUCE_MIN = 'min'
REDUCE_MAX = 'max'
_DEVICE_CONTEXTS = dict()
_DEVICE_CONTEXTS_LOCK = threading.Lock()
class DeviceContext(object):
def __init__(self, device):
self.device = device
def _get_device_context(device=None):
if device is None:
device = torch_xla._XLAC._xla_get_default_device()
else:
device = str(device)
with _DEVICE_CONTEXTS_LOCK:
devctx = _DEVICE_CONTEXTS.get(device, None)
if devctx is None:
devctx = DeviceContext(device)
_DEVICE_CONTEXTS[device] = devctx
return devctx
def is_xla_tensor(tensor):
return tensor.device.type == 'xla'
def parse_xla_device(device):
m = re.match(r'(CPU|TPU|GPU):(\d+)$', device)
if m:
return (m.group(1), int(m.group(2)))
[docs]def get_xla_supported_devices(devkind=None, max_devices=None):
"""Returns a list of supported devices of a given kind.
Args:
devkind (string..., optional): If specified, one of `TPU`, `GPU` or `CPU`
(the 'GPU' XLA device is currently not implemented).
max_devices (int, optional): The maximum number of devices to be returned of
that kind.
Returns:
The list of device strings.
"""
xla_devices = _DEVICES.value
devkind = devkind or ['TPU', 'GPU', 'CPU']
for kind in devkind:
kind_devices = []
for i, device in enumerate(xla_devices):
if re.match(kind + r':\d+$', device):
kind_devices.append('xla:{}'.format(i))
if kind_devices:
return kind_devices[:max_devices] if max_devices else kind_devices
[docs]def xrt_world_size(defval=1):
"""Retrieves the number of devices which is taking part of the replication.
Args:
defval (int, optional): The default value to be returned in case there is no
replication information available.
Default: 1
Returns:
The number of devices which is taking part of the replication.
"""
return xu.getenv_as(xenv.WORLD_SIZE, int, defval=defval)
[docs]def get_ordinal(defval=0):
"""Retrieves the replication ordinal of the current process.
The ordinals range from 0 to `xrt_world_size()` minus 1.
Args:
defval (int, optional): The default value to be returned in case there is no
replication information available.
Default: 0
Returns:
The replication ordinal of the current process.
"""
return xu.getenv_as(xenv.ORDINAL, int, defval=defval)
[docs]def get_local_ordinal(defval=0):
"""Retrieves the replication local ordinal of the current process.
The local ordinals range from 0 to the number of local devices minus 1.
Args:
defval (int, optional): The default value to be returned in case there is no
replication information available.
Default: 0
Returns:
The replication local ordinal of the current process.
"""
ordinal = xu.getenv_as(xenv.LOCAL_ORDINAL, int, defval=-1)
if ordinal >= 0:
return ordinal
return getattr(_get_device_context(), 'device_index', defval)
[docs]def is_master_ordinal(local=True):
"""Checks whether the current process is the master ordinal (0).
Args:
local (bool): Whether the local or global master ordinal should be checked.
In case of multi-host replication, there is only one global master ordinal
(host 0, device 0), while there are NUM_HOSTS local master ordinals.
Default: True
Returns:
A boolean indicating whether the current process is the master ordinal.
"""
ordinal = get_local_ordinal() if local else get_ordinal()
return ordinal == 0
def master_print(*args, fd=sys.stdout, local=True, flush=False):
if is_master_ordinal(local=local):
print(*args, file=fd, flush=flush)
[docs]def xla_device(n=None, devkind=None):
"""Returns a given instance of an XLA device.
Args:
n (int, optional): The specific instance (ordinal) to be returned. If
specified, the specific XLA device instance will be returned. Otherwise
the first device of `devkind` will be returned.
devkind (string..., optional): If specified, one of `TPU`, `GPU` or `CPU`.
Returns:
A `torch.device` with the requested instance.
"""
if n is None:
devices = get_xla_supported_devices(
devkind=[devkind] if devkind is not None else None)
assert devices, 'No devices of {} kind'.format(devkind or 'ANY')
# This is a utility API mainly called from tests or simple code which wants
# to just have a single device to run on. Set the default device so that
# the tensor barrier can work correctly and avoid growing graphs surprises.
device = devices[0]
else:
device = 'xla:{}'.format(n)
torch_xla._XLAC._xla_set_default_device(device)
return torch.device(device)
def _xla_real_device(device):
device_str = str(device)
m = re.match(r'xla:(\d+)$', device_str)
if not m:
raise RuntimeError('Invalid device format: {}'.format(device_str))
return _DEVICES.value[int(m.group(1))]
def xla_real_devices(devices):
return [_xla_real_device(device) for device in devices]
[docs]def xla_device_hw(device):
"""Returns the hardware type of the given device.
Args:
device (string or torch.device): The xla device that will be mapped to the
real device.
Returns:
A string representation of the hardware type (`CPU`, `TPU`, `GPU`) of the
given device.
"""
real_device = _xla_real_device(device)
return real_device.split(':')[0]
def xla_replication_devices(local_devices):
real_devices = xla_real_devices(local_devices)
device_types = set()
for device in real_devices:
xdev = parse_xla_device(device)
device_types.add(xdev[0])
if len(device_types) != 1:
# No replication if the device set spawns multiple device types.
raise RuntimeError(
'Cannot replicate across different device types: devices={}/{}'.format(
local_devices, real_devices))
device_type = device_types.pop()
kind_devices = get_xla_supported_devices(devkind=[device_type])
if len(kind_devices) != len(local_devices):
# Replication can only happen among all devices of one kind.
raise RuntimeError(
'Cannot replicate if number of devices ({}) is different from {}'.
format(len(local_devices), len(kind_devices)))
replication_devices = []
for device in torch_xla._XLAC._xla_get_all_devices():
xdev = parse_xla_device(device)
if not xdev:
raise RuntimeError('Invalid device format: {}'.format(device))
if xdev[0] == device_type:
replication_devices.append(device)
return replication_devices
def unlazy(tensors):
"""Blocks the program until `tensors` are materialized.
This API is for benchmarking, don't use it in real models.
Args:
tensors (List[torch.Tensor]): List of `torch.Tensor`s to materialize.
For each Tensor `t` in the list, `t.device` must be an `xla` device.
"""
torch_xla._XLAC._xla_sync_multi(tensors, devices=[], wait=True)
def set_replication(device, devices):
device = str(device)
devctx = _get_device_context(device=device)
devices = [str(x) for x in devices]
if devices:
replication_devices = xla_replication_devices(devices)
torch_xla._XLAC._xla_set_replication_devices(replication_devices)
devctx.device_index = devices.index(device)
else:
torch_xla._XLAC._xla_set_replication_devices([])
devctx.device_index = 0
devctx.all_reduce_token = None
torch_xla._XLAC._xla_set_default_device(device)
class RateTracker(object):
def __init__(self, smooth_factor=None):
self._smooth_factor = xu.getenv_as(
'RATE_TRACKER_SMOOTHING', float,
0.4) if smooth_factor is None else smooth_factor
self._start_time = time.time()
self._partial_time = self._start_time
self._partial_count = 0.0
self._partial_rate = None
self._count = 0.0
def _update(self, now, rate):
self._partial_count += self._count
self._count = 0.0
self._partial_time = now
self._partial_rate = rate
def add(self, count):
self._count += count
def _smooth(self, current_rate):
if self._partial_rate is None:
smoothed_rate = current_rate
else:
smoothed_rate = ((1 - self._smooth_factor) * current_rate +
self._smooth_factor * self._partial_rate)
return smoothed_rate
def rate(self):
now = time.time()
delta = now - self._partial_time
report_rate = 0.0
if delta > 0:
report_rate = self._smooth(self._count / delta)
self._update(now, report_rate)
return report_rate
def global_rate(self):
delta = time.time() - self._start_time
count = self._partial_count + self._count
return count / delta if delta > 0 else 0.0
class ToXlaTensorArena(object):
def __init__(self, convert_fn, select_fn):
self._convert_fn = convert_fn
self._select_fn = select_fn
self._tensors = []
def _add(self, tensor):
self._tensors.append(tensor)
def _convert(self):
self._index = 0
if self._tensors:
self._converted_tensors = self._convert_fn(self._tensors)
else:
self._converted_tensors = []
def _get_converted_tensor(self):
assert self._index < len(self._converted_tensors)
new_tensor = self._converted_tensors[self._index]
self._index += 1
return new_tensor
def _collect_tensors(self, inputs):
def collect_fn(value):
self._add(value)
xu.for_each_instance(inputs, lambda x: self._select_fn(x), collect_fn)
def _replace_tensors(self, inputs):
def convert_fn(value):
return self._get_converted_tensor()
return xu.for_each_instance_rewrite(inputs, lambda x: self._select_fn(x),
convert_fn)
def transform(self, inputs):
self._tensors = []
self._collect_tensors(inputs)
self._convert()
return self._replace_tensors(inputs)
def check_view_sharing(obj):
tensors = set()
aliases = dict()
def tensor_info(t):
return '{}{}'.format(t.dtype, list(t.size()))
def tensor_id(t):
if is_xla_tensor(t):
return torch_xla._XLAC._xla_get_tensor_id(t), 'xla'
return id(t), 'torch'
def alias_id(t):
if is_xla_tensor(t):
aid = torch_xla._XLAC._xla_get_tensor_view_alias_id(t)
return None if aid == 0 else aid, 'xla'
return t.storage().data_ptr(), 'torch'
def check_object(obj):
tid = tensor_id(obj)
if tid not in tensors:
tensors.add(tid)
aid = alias_id(obj)
if aid[0] is not None:
if aid in aliases:
oobj = aliases[aid]
raise RuntimeError(
'Tensor ID {} ({}) is sharing a view with tensor ID {} ({})'.
format(tid, tensor_info(obj), tensor_id(oobj), tensor_info(oobj)))
aliases[aid] = obj
xu.for_each_instance(obj, lambda x: type(x) == torch.Tensor, check_object)
def _fetch_gradients(optimizer):
gradients = []
for param_group in optimizer.__getstate__()['param_groups']:
for group, params in param_group.items():
if group == 'params':
for p in params:
if isinstance(p, torch.Tensor) and p.grad is not None:
gradients.append(p.grad.data)
return gradients
def _get_all_reduce_token():
devctx = _get_device_context()
token = getattr(devctx, 'all_reduce_token', None)
if token is None:
token = torch_xla._XLAC._xla_create_token(devctx.device)
devctx.all_reduce_token = token
return token, devctx
[docs]def all_reduce(reduce_type, inputs, scale=1.0, groups=None):
"""Performs an inplace reduce operation on the input tensor(s).
Args:
reduce_type (string): One of ``REDUCE_SUM``, ``REDUCE_MUL``, ``REDUCE_AND``,
``REDUCE_OR``, ``REDUCE_MIN`` and ``REDUCE_MIN``.
inputs: Either a single `torch.Tensor` or a list of `torch.Tensor` to
perform the all reduce op to.
scale (float): A default scaling value to be applied after the reduce.
Default: 1.0
groups (list, optional): A list of list, representing the replica groups for
the `all_reduce()` operation. Example: `[[0, 1, 2, 3], [4, 5, 6, 7]]`
defines two groups, one with the `[0, 1, 2, 3]` replicas and one with
the `[4, 5, 6, 7]` replicas. If `None` there will be only one group with
all the replicas in it.
Returns:
If a single `torch.Tensor` is passed, the return value is a `torch.Tensor`
holding the reduced value (across the replicas). If a list/tuple is passed,
this function performs an inplace all-reduce op on the input tensors, and
returns the list/tuple itself.
"""
token, devctx = _get_all_reduce_token()
if isinstance(inputs, torch.Tensor):
result = torch_xla._XLAC._xla_all_reduce(reduce_type, inputs, token, scale,
groups or [])
devctx.all_reduce_token = result[1]
results = [result[0]]
else:
devctx.all_reduce_token = torch_xla._XLAC._xla_all_reduce_inplace(
reduce_type, inputs, token, scale, groups or [])
results = inputs
return results[0] if isinstance(inputs, torch.Tensor) else results
[docs]def all_gather(value, dim=0, groups=None):
"""Performs an all-gather operation along a given dimension.
Args:
value (torch.Tensor): The input tensor.
dim (int): The gather dimension.
Default: 0
groups (list, optional): A list of list, representing the replica groups for
the `all_gather()` operation. Example: `[[0, 1, 2, 3], [4, 5, 6, 7]]`
defines two groups, one with the `[0, 1, 2, 3]` replicas and one with
the `[4, 5, 6, 7]` replicas. If `None` there will be only one group with
all the replicas in it.
Returns:
A tensor which has, in the ``dim`` dimension, all the values from the
participating replicas.
"""
if dim < 0:
dim = value.dim() + dim
size = value.size(dim)
padding = [0] * (2 * value.dim())
ordinal = get_ordinal()
if groups is None:
left, right = ordinal, xrt_world_size() - 1 - ordinal
else:
ordinals = dict()
for g in groups:
for i, x in enumerate(g):
ordinals[x] = (i, len(g) - 1 - i)
left, right = ordinals[ordinal]
idx = value.dim() - 1 - dim
padding[2 * idx] = left * size
padding[2 * idx + 1] = right * size
return all_reduce(REDUCE_SUM, F.pad(value, padding), groups=groups)
def all_to_all(value,
split_dimension,
concat_dimension,
split_count,
groups=None):
"""Performs an XLA `AllToAll()` operation on the input tensor.
WARNING: This function is not very reliable, may produce wrong results under
certain inputs. Use it at your own risk.
See: https://www.tensorflow.org/xla/operation_semantics#alltoall
Args:
value (torch.Tensor): The input tensor.
split_dimension (int): The dimension upon which the split should happen.
concat_dimension (int): The dimension upon which the concat should happen.
split_count (int): The split count.
groups (list, optional): A list of list, representing the replica groups for
the `all_reduce()` operation. Example: `[[0, 1, 2, 3], [4, 5, 6, 7]]`
defines two groups, one with the `[0, 1, 2, 3]` replicas and one with
the `[4, 5, 6, 7]` replicas. If `None` there will be only one group with
all the replicas in it.
Returns:
The result `torch.Tensor` of the `all_to_all()` operation.
"""
token, devctx = _get_all_reduce_token()
result = torch_xla._XLAC._xla_all_to_all(value, token, split_dimension,
concat_dimension, split_count,
groups or [])
devctx.all_reduce_token = result[1]
return result[0]
def collective_permute(value, pairs):
"""Performs a XLA `CollectivePermute()` operation on the input tensor.
WARNING: This function is not very reliable, may produce wrong results under
certain inputs. Use it at your own risk.
See: https://www.tensorflow.org/xla/operation_semantics#collectivepermute
Args:
value (torch.Tensor): The input tensor.
pairs (list): A list of (source_replica_id, target_replica_id) pairs,
representing the sender and receiver for the `collective_permute()`
operation. Example: `[[0, 1], [1, 2], [2, 0]]` defines three pairs. The
tensor will be send from replidca 0 to replidca 1, replidca 1 to
replidca 2, and replidca 2 to replidca 0.
Returns:
The result `torch.Tensor` of the `collective_permute()` operation.
"""
token, devctx = _get_all_reduce_token()
result = torch_xla._XLAC._xla_collective_permute(value, token, pairs)
devctx.all_reduce_token = result[1]
return result[0]
[docs]def add_step_closure(closure, args=()):
"""Adds a closure to the list of the ones to be run at the end of the step.
Many times during model training there is the need to print/report (print to
console, post to tensorboard, etc...) information which require the content of
intermediary tensors to be inspected.
Inspecting different tensors content in different points of the model code
requires many executions and typically causes performance issues.
Adding a step closure will ensure that it will be run after the barrier, when
all the live tensors will be already materialized to device data.
Live tensors which will include the ones captured by the closure arguments.
So using `add_step_closure()` will ensure a single execution will be
performed, even when multiple closures are queued, requiring multiple tensors
to be inspected.
Step closures will be run sequentially in the order they have been queued.
Note that even though using this API the execution will be optimized, it is
advised to throttle the printing/reporting events once every N steps.
Args:
closure (callable): The function to be called.
args (tuple): The arguments to be passed to the closure.
"""
devctx = _get_device_context()
step_closures = getattr(devctx, 'step_closures', None)
if step_closures is None:
step_closures = []
devctx.step_closures = step_closures
step_closures.append(lambda a=args: closure(*a))
def _run_step_closures():
devctx = _get_device_context()
step_closures = getattr(devctx, 'step_closures', None)
if step_closures is not None:
devctx.step_closures = []
for closure in step_closures:
closure()
return devctx
def mark_step():
if xu.getenv_as('XLA_EMIT_STEPLOG', bool, False):
print('torch_xla.core.xla_model::mark_step', file=sys.stderr, flush=True)
torch_xla._XLAC._xla_step_marker(
torch_xla._XLAC._xla_get_default_device(), [],
wait=xu.getenv_as('XLA_SYNC_WAIT', bool, False))
# Only emit metrics from the first local device index, to avoid emitting the
# same values from different threads.
if is_master_ordinal():
ms.save_metrics()
devctx = _run_step_closures()
devctx.all_reduce_token = None
[docs]def wait_device_ops(devices=[]):
"""Waits for all the async operations on the given devices to complete.
Args:
devices (string..., optional): The devices whose async ops need to be waited
for. If empty, all the local devices will be waited for.
"""
torch_xla._XLAC._xla_wait_device_ops(devices=devices)
def reduce_gradients(optimizer, groups=None):
"""Reduces all the gradients handled by an optimizer.
Args:
optimizer (:class:`torch.Optimizer`): The `torch.Optimizer` instance
containing the gradients to be reduced.
groups (list, optional): A list of list, representing the replica groups for
the `all_reduce()` operation. Example: `[[0, 1, 2, 3], [4, 5, 6, 7]]`
defines two groups, one with the `[0, 1, 2, 3]` replicas and one with
the `[4, 5, 6, 7]` replicas. If `None` there will be only one group with
all the replicas in it.
"""
count = torch_xla._XLAC._xla_get_replication_devices_count()
if count > 1:
gradients = _fetch_gradients(optimizer)
all_reduce(REDUCE_SUM, gradients, scale=1.0 / count, groups=groups)
[docs]def optimizer_step(optimizer, barrier=False, optimizer_args={}, groups=None):
"""Run the provided optimizer step and issue the XLA device step computation.
Args:
optimizer (:class:`torch.Optimizer`): The `torch.Optimizer` instance whose
`step()` function needs to be called. The `step()` function will be called
with the `optimizer_args` named arguments.
barrier (bool, optional): Whether the XLA tensor barrier should be issued in
this API. If using the PyTorch XLA `ParallelLoader` or `DataParallel`
support, this is not necessary as the barrier will be issued by the XLA
data loader iterator `next()` call.
Default: False
optimizer_args (dict, optional): Named arguments dictionary for the
`optimizer.step()` call.
groups (list, optional): A list of list, representing the replica groups for
the `all_reduce()` operation. Example: `[[0, 1, 2, 3], [4, 5, 6, 7]]`
defines two groups, one with the `[0, 1, 2, 3]` replicas and one with
the `[4, 5, 6, 7]` replicas. If `None` there will be only one group with
all the replicas in it.
Returns:
The same value returned by the `optimizer.step()` call.
"""
reduce_gradients(optimizer, groups=groups)
loss = optimizer.step(**optimizer_args)
if barrier:
mark_step()
return loss
[docs]def save(data, file_or_path, master_only=True, global_master=False):
"""Saves the input data into a file.
The saved data is transferred to PyTorch CPU device before being saved, so a
following `torch.load()` will load CPU data.
Care must be taken when working with views. Instead of saving views it's
recommended that you recreate them after the tensors have been loaded and
moved to their destination device(s).
Args:
data: The input data to be saved. Any nested combination of Python objects
(list, tuples, sets, dicts, ...).
file_or_path: The destination for the data saving operation. Either a file
path or a Python file object. If `master_only` is ``False`` the path or
file objects must point to different destinations as otherwise all the
writes from the same host will override each other.
master_only (bool, optional): Whether only the master device should save the
data. If False, the `file_or_path` argument should be a different file or
path for each of the ordinals taking part to the replication, otherwise
all the replicas on the same host will be writing to the same location.
Default: True
global_master (bool, optional): When ``master_only`` is ``True`` this flag
controls whether every host's master (if ``global_master`` is ``False``)
saves the content, or only the global master (ordinal 0).
Default: False
"""
should_write_data = not master_only or is_master_ordinal(
local=not global_master)
cpu_data = _maybe_convert_to_cpu(data, convert=should_write_data)
if should_write_data:
torch.save(cpu_data, file_or_path)
rendezvous('torch_xla.core.xla_model.save')
def _maybe_convert_to_cpu(data, convert=True):
def convert_fn(tensors):
torch_xla._XLAC._xla_sync_multi(
tensors, devices=[], wait=True, sync_xla_data=True)
if not convert:
return tensors
return torch_xla._XLAC._xla_get_cpu_tensors(tensors)
def select_fn(v):
return type(v) == torch.Tensor and is_xla_tensor(v)
return ToXlaTensorArena(convert_fn, select_fn).transform(data)
def send_cpu_data_to_device(data, device):
def convert_fn(tensors):
devices = [str(device)] * len(tensors)
return torch_xla._XLAC._xla_tensors_from_aten(tensors, devices)
def select_fn(v):
return type(v) == torch.Tensor and v.device.type == 'cpu'
return ToXlaTensorArena(convert_fn, select_fn).transform(data)
[docs]def rendezvous(tag, payload=b'', replicas=[]):
"""Waits for all the mesh clients to reach the named rendezvous.
Args:
tag (string): The name of the rendezvous to join.
payload (bytes, optional): The payload to be sent to the rendezvous.
replicas (list, int): The replica ordinals taking part of the rendezvous.
Empty means all replicas in the mesh.
Default: []
Returns:
The payloads exchanged by all the other cores, with the payload of core
ordinal `i` at position `i` in the returned tuple.
"""
return torch_xla._XLAC._xla_rendezvous(get_ordinal(), tag, payload, replicas)
[docs]def do_on_ordinals(target, data=(), ordinals=(0,)):
"""Runs a function only on a given set of ordinals.
Args:
target (callable): The function to be run on `ordinals`.
data: Any input data for the `target` function which contains tensors. All
the XLA tensors used by the `target` function must be passed in this
argument. Every other data used by the function can be captured by the
Python interpreter as usual.
Default: ()
ordinals (list, int): The list/set of ordinals where the `target` function
should run.
Default: (0,)
Returns:
In the ordinals that ran the `target` function, the function return value,
otherwise `None`.
"""
running = get_ordinal() in ordinals
cpu_data = _maybe_convert_to_cpu(data, convert=running)
if running:
result = target(*cpu_data)
else:
result = None
rendezvous('torch_xla.core.xla_model.do_on_ordinals')
return result
[docs]def mesh_reduce(tag, data, reduce_fn):
"""Performs an out-of-graph client mesh reduction.
Args:
tag (string): The name of the rendezvous to join.
data: The data to be reduced. The `reduce_fn` callable will receive a list
with the copies of the same data coming from all the mesh client processes
(one per core).
reduce_fn (callable): A function which receives a list of `data`-like
objects and returns the reduced result.
Returns:
The reduced value.
"""
cpu_data = _maybe_convert_to_cpu(data)
bio = io.BytesIO()
torch.save(cpu_data, bio)
xdata = rendezvous(tag, bio.getvalue())
xldata = []
for xd in xdata:
xbio = io.BytesIO(xd)
xldata.append(torch.load(xbio))
return reduce_fn(xldata) if xldata else cpu_data
[docs]def set_rng_state(seed, device=None):
"""Sets the random number generator state.
Args:
seed (integer): The state to be set.
device (string, optional): The device where the RNG state needs to be set.
If missing the default device seed will be set.
"""
if device is None:
device = torch_xla._XLAC._xla_get_default_device()
torch_xla._XLAC._xla_set_rng_seed(seed, str(device) if device else '')
[docs]def get_rng_state(device=None):
"""Gets the current running random number generator state.
Args:
device (string, optional): The device whose RNG state needs to be retrieved.
If missing the default device seed will be set.
Returns:
The RNG state, as integer.
"""
if device is None:
device = torch_xla._XLAC._xla_get_default_device()
return torch_xla._XLAC._xla_get_rng_seed(str(device) if device else '')