| import torch |
| import torch._C as _C |
| import torch.utils.hooks as hooks |
| from torch._six import with_metaclass |
| import functools |
| from collections import OrderedDict |
| |
| |
| class _ContextMethodMixin(object): |
| |
| def save_for_backward(self, *tensors): |
| """Saves given tensors for a future call to :func:`~Function.backward`. |
| |
| **This should be called at most once, and only from inside the** |
| :func:`forward` **method.** |
| |
| Later, saved tensors can be accessed through the :attr:`saved_tensors` |
| attribute; or, if the corresponding Variable is needed (e.g. for double |
| backwards), those can be accessed through the :attr:`saved_variables` |
| attribute. Before returning them to the user, a check is made, to ensure |
| they weren't used in any in-place operation that modified their content. |
| |
| Arguments can also be ``None``. |
| """ |
| self.to_save = tensors |
| |
| def mark_dirty(self, *args): |
| """Marks given tensors as modified in an in-place operation. |
| |
| **This should be called at most once, only from inside the** |
| :func:`forward` **method, and all arguments should be inputs.** |
| |
| Every tensor that's been modified in-place in a call to :func:`forward` |
| should be given to this function, to ensure correctness of our checks. |
| It doesn't matter wheter the function is called before or after |
| modification. |
| """ |
| self.dirty_tensors = args |
| |
| def mark_shared_storage(self, *pairs): |
| """Marks that given pairs of distinct tensors are sharing storage. |
| |
| **This should be called at most once, only from inside the** |
| :func:`forward` **method, and all arguments should be pairs of |
| (input, output).** |
| |
| If some of the outputs are going to be tensors sharing storage with |
| some of the inputs, all pairs of (input_arg, output_arg) should be |
| given to this function, to ensure correctness checking of in-place |
| modification. The only exception is when an output is exactly the same |
| tensor as input (e.g. in-place ops). In such case it's easy to conclude |
| that they're sharing data, so we don't require specifying such |
| dependencies. |
| |
| This function is not needed in most functions. It's primarily used in |
| indexing and transpose ops. |
| """ |
| self.shared_pairs = pairs |
| |
| def mark_non_differentiable(self, *args): |
| """Marks outputs as non-differentiable. |
| |
| **This should be called at most once, only from inside the** |
| :func:`forward` **method, and all arguments should be outputs.** |
| |
| This will mark outputs as not requiring gradients, increasing the |
| efficiency of backward computation. You still need to accept a gradient |
| for each output in :meth:`~Function.backward`, but it's always going to |
| be ``None``. |
| |
| This is used e.g. for indices returned from a max :class:`Function`. |
| """ |
| self.non_differentiable = args |
| |
| |
| class _HookMixin(object): |
| |
| @staticmethod |
| def _register_hook(backward_hooks, hook): |
| if backward_hooks is None: |
| backward_hooks = OrderedDict() |
| handle = hooks.RemovableHandle(backward_hooks) |
| backward_hooks[handle.id] = hook |
| return backward_hooks, handle |
| |
| |
| class BackwardCFunction(_C._FunctionBase, _ContextMethodMixin, _HookMixin): |
| _is_legacy = False |
| |
| def apply(self, *args): |
| return self._forward_cls.backward(self, *args) |
| |
| |
| class FunctionMeta(type): |
| """Function metaclass. |
| |
| This metaclass sets up the following properties: |
| _is_legacy: True if forward is not defined as a static method. |
| _backward_cls: The Function class corresponding to the differentiated |
| version of this function (which is generated on the fly by this |
| metaclass). |
| """ |
| |
| def __init__(cls, name, bases, attrs): |
| for super_cls in cls.mro(): |
| forward = super_cls.__dict__.get('forward') |
| if forward is not None: |
| has_static_forward = isinstance(forward, staticmethod) or isinstance(forward, classmethod) |
| break |
| |
| setattr(cls, '_is_legacy', not has_static_forward) |
| |
| # old-style functions |
| if not has_static_forward: |
| return super(FunctionMeta, cls).__init__(name, bases, attrs) |
| |
| backward_fn = type(name + 'Backward', (BackwardCFunction,), {'_forward_cls': cls}) |
| setattr(cls, '_backward_cls', backward_fn) |
| |
| return super(FunctionMeta, cls).__init__(name, bases, attrs) |
| |
| |
| class Function(with_metaclass(FunctionMeta, _C._FunctionBase, _ContextMethodMixin, _HookMixin)): |
| """Records operation history and defines formulas for differentiating ops. |
| |
| Every operation performed on :class:`Variable` s creates a new function |
| object, that performs the computation, and records that it happened. |
| The history is retained in the form of a DAG of functions, with edges |
| denoting data dependencies (``input <- output``). Then, when backward is |
| called, the graph is processed in the topological ordering, by calling |
| :func:`backward` methods of each :class:`Function` object, and passing |
| returned gradients on to next :class:`Function` s. |
| |
| Normally, the only way users interact with functions is by creating |
| subclasses and defining new operations. This is a recommended way of |
| extending torch.autograd. |
| |
| Since Function logic is a hotspot in most scripts, almost all of it |
| was moved to our C backend, to ensure that the framework overhead is |
| minimal. |
| |
| Each function is meant to be used only once (in the forward pass). |
| |
| Attributes: |
| saved_tensors: Tuple of Tensors that were saved in the call to |
| :func:`forward`. |
| saved_variables: Tuple of Variables that correspond to the tensors |
| saved in the call to :func:`forward`. |
| needs_input_grad: Tuple of booleans of length :attr:`num_inputs`, |
| indicating whether a given input requires gradient. This can be |
| used to optimize buffers saved for backward, and ignoring gradient |
| computation in :func:`~Function.backward`. |
| num_inputs: Number of inputs given to :func:`forward`. |
| num_outputs: Number of tensors returned by :func:`forward`. |
| requires_grad: Boolean indicating whether the :func:`backward` will |
| ever need to be called. |
| """ |
| |
| # only for backward compatibility |
| __call__ = _C._FunctionBase._do_forward |
| |
| @staticmethod |
| def forward(*args, **kwargs): |
| """Performs the operation. |
| |
| This function is to be overriden by all subclasses. |
| |
| It can take and return an arbitrary number of tensors. |
| """ |
| raise NotImplementedError |
| |
| @staticmethod |
| def backward(*grad_outputs): |
| """Defines a formula for differentiating the operation. |
| |
| This function is to be overriden by all subclasses. |
| |
| All arguments are tensors. It has to accept exactly as many arguments, |
| as many outputs did :func:`forward` return, and it should return as |
| many tensors, as there were inputs to :func:`forward`. Each argument |
| is the gradient w.r.t the given output, and each returned value should |
| be the gradient w.r.t. the corresponding input. |
| """ |
| raise NotImplementedError |
| |
| |
| def once_differentiable(fn): |
| from .variable import Variable |
| |
| @functools.wraps(fn) |
| def wrapper(ctx, *args): |
| tensor_args = [arg.data if isinstance(arg, Variable) else arg |
| for arg in args] |
| outputs = fn(ctx, *tensor_args) |
| # XXX: this is only an approximation of these flags - there's no way |
| # to figure out if fn didn't use ctx.saved_variables and as a result |
| # some Variables might require grad, even if no args do. |
| # Unfortunately, this leads to unexpected error messages ("no nodes |
| # require computing gradients"), but I don't have a better idea. |
| # These functions would raise an error in backward anyway. |
| volatile = any(arg.volatile if isinstance(arg, Variable) else False |
| for arg in args) |
| requires_grad = any(arg.requires_grad if isinstance(arg, Variable) else False |
| for arg in args) |
| if volatile: |
| def err_fn(*args): |
| return args |
| kwargs = {'volatile': True} |
| else: |
| err_fn = torch._C._functions.DelayedError( |
| b"trying to differentiate twice a function that was marked" |
| b"with @once_differentiable") |
| kwargs = {'requires_grad': requires_grad} |
| if not isinstance(outputs, tuple): |
| var = Variable(outputs, **kwargs) if outputs is not None else None |
| return err_fn(var) |
| return err_fn(*[Variable(o, **kwargs) if o is not None else None |
| for o in outputs]) |
| return wrapper |
| |
| |
| class InplaceFunction(Function): |
| |
| def __init__(self, inplace=False): |
| super(InplaceFunction, self).__init__() |
| self.inplace = inplace |
| |
| |
| def _nested_map(condition, fn): |
| def _map(obj): |
| if condition(obj): |
| return fn(obj) |
| elif obj is None: |
| return None |
| elif isinstance(obj, (list, tuple)): |
| return type(obj)(_map(x) for x in obj) |
| else: |
| raise ValueError("NestedIOFunction doesn't know how to process " |
| "an input object of type " + torch.typename(obj)) |
| return _map |
| |
| |
| def _iter_filter(condition): |
| def _iter(obj): |
| if condition(obj): |
| yield obj |
| elif obj is None: |
| return |
| elif isinstance(obj, (list, tuple)): |
| for o in obj: |
| for var in _iter(o): |
| yield var |
| else: |
| raise ValueError("NestedIOFunction doesn't know how to process " |
| "an input object of type " + torch.typename(obj)) |
| return _iter |
| |
| |
| def _unflatten(input, proto): |
| # unflatten a list or tuple input into a nested list/tuple structure |
| # specified by proto |
| def unflatten_helper(input, proto): |
| res = [] |
| if not isinstance(proto, (list, tuple)): |
| return input[0], input[1:] |
| for e in proto: |
| res_e, input = unflatten_helper(input, e) |
| res.append(res_e) |
| return type(proto)(res), input |
| |
| return unflatten_helper(input, proto)[0] |
| |
| _iter_variables = _iter_filter(lambda o: isinstance(o, torch.autograd.Variable)) |
| _iter_tensors = _iter_filter(torch.is_tensor) |
| _iter_None_tensors = _iter_filter(lambda o: o is None or torch.is_tensor(o)) |
| _map_variable_tensor = _nested_map(lambda o: isinstance(o, torch.autograd.Variable), lambda o: o.data) |
| |
| |
| class NestedIOFunction(Function): |
| |
| def _do_forward(self, *input): |
| self._nested_input = input |
| flat_input = tuple(_iter_variables(input)) |
| flat_output = super(NestedIOFunction, self)._do_forward(*flat_input) |
| nested_output = self._nested_output |
| nested_variables = _unflatten(flat_output, self._nested_output) |
| return nested_variables |
| |
| def _do_backward(self, gradients, retain_variables): |
| self.retain_variables = retain_variables |
| result = super(NestedIOFunction, self)._do_backward(gradients, retain_variables) |
| if not retain_variables: |
| del self._nested_output |
| del self._to_save_nested |
| return result |
| |
| def backward(self, *gradients): |
| nested_gradients = _unflatten(gradients, self._nested_output) |
| result = self.backward_extended(*nested_gradients) |
| return tuple(_iter_None_tensors(result)) |
| |
| __call__ = _do_forward |
| |
| def forward(self, *args): |
| nested_tensors = _map_variable_tensor(self._nested_input) |
| result = self.forward_extended(*nested_tensors) |
| del self._nested_input |
| self._nested_output = result |
| return tuple(_iter_tensors(result)) |
| |
| def save_for_backward(self, *args): |
| self.to_save = tuple(_iter_tensors(args)) |
| self._to_save_nested = args |
| |
| @property |
| def saved_tensors(self): |
| flat_tensors = super(NestedIOFunction, self).saved_tensors |
| return _unflatten(flat_tensors, self._to_save_nested) |
| |
| def mark_dirty(self, *args, **kwargs): |
| self.dirty_tensors = tuple(_iter_tensors((args, kwargs))) |
| |
| def mark_non_differentiable(self, *args, **kwargs): |
| self.non_differentiable = tuple(_iter_tensors((args, kwargs))) |
| |
| def forward_extended(self, *input): |
| raise NotImplementedError |
| |
| def backward_extended(self, *grad_output): |
| raise NotImplementedError |