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- import torch
- import functools
- from torch import Tensor
- from typing import Any, Callable, Optional, Tuple, Union, List
- from torch.utils._pytree import tree_flatten, tree_unflatten, _broadcast_to_and_flatten
- import warnings
- in_dims_t = Union[int, Tuple]
- out_dims_t = Union[int, Tuple[int, ...]]
- # Checks that all args-to-be-batched have the same batch dim size
- def _validate_and_get_batch_size(
- flat_in_dims: List[Optional[int]],
- flat_args: List) -> int:
- batch_sizes = [arg.size(in_dim) for in_dim, arg in zip(flat_in_dims, flat_args)
- if in_dim is not None]
- if batch_sizes and any([size != batch_sizes[0] for size in batch_sizes]):
- raise ValueError(
- f'vmap: Expected all tensors to have the same size in the mapped '
- f'dimension, got sizes {batch_sizes} for the mapped dimension')
- return batch_sizes[0]
- def _num_outputs(batched_outputs: Union[Tensor, Tuple[Tensor, ...]]) -> int:
- if isinstance(batched_outputs, tuple):
- return len(batched_outputs)
- return 1
- # If value is a tuple, check it has length `num_elements`.
- # If value is not a tuple, make a tuple with `value` repeated `num_elements` times
- def _as_tuple(value: Any, num_elements: int, error_message_lambda: Callable[[], str]) -> Tuple:
- if not isinstance(value, tuple):
- return (value,) * num_elements
- if len(value) != num_elements:
- raise ValueError(error_message_lambda())
- return value
- # Creates BatchedTensors for every Tensor in arg that should be batched.
- # Returns the (potentially) batched arguments and the batch_size.
- def _create_batched_inputs(
- in_dims: in_dims_t, args: Tuple, vmap_level: int, func: Callable) -> Tuple[Tuple, int]:
- if not isinstance(in_dims, int) and not isinstance(in_dims, tuple):
- raise ValueError(
- f'vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): '
- f'expected `in_dims` to be int or a (potentially nested) tuple '
- f'matching the structure of inputs, got: {type(in_dims)}.')
- if len(args) == 0:
- raise ValueError(
- f'vmap({_get_name(func)})(<inputs>): got no inputs. Maybe you forgot to add '
- f'inputs, or you are trying to vmap over a function with no inputs. '
- f'The latter is unsupported.')
- flat_args, args_spec = tree_flatten(args)
- flat_in_dims = _broadcast_to_and_flatten(in_dims, args_spec)
- if flat_in_dims is None:
- raise ValueError(
- f'vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): '
- f'in_dims is not compatible with the structure of `inputs`. '
- f'in_dims has structure {tree_flatten(in_dims)[1]} but inputs '
- f'has structure {args_spec}.')
- for arg, in_dim in zip(flat_args, flat_in_dims):
- if not isinstance(in_dim, int) and in_dim is not None:
- raise ValueError(
- f'vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): '
- f'Got in_dim={in_dim} for an input but in_dim must be either '
- f'an integer dimension or None.')
- if isinstance(in_dim, int) and not isinstance(arg, Tensor):
- raise ValueError(
- f'vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): '
- f'Got in_dim={in_dim} for an input but the input is of type '
- f'{type(arg)}. We cannot vmap over non-Tensor arguments, '
- f'please use None as the respective in_dim')
- if in_dim is not None and (in_dim < 0 or in_dim >= arg.dim()):
- raise ValueError(
- f'vmap({_get_name(func)}, in_dims={in_dims}, ...)(<inputs>): '
- f'Got in_dim={in_dim} for some input, but that input is a Tensor '
- f'of dimensionality {arg.dim()} so expected in_dim to satisfy '
- f'0 <= in_dim < {arg.dim()}.')
- batch_size = _validate_and_get_batch_size(flat_in_dims, flat_args)
- # See NOTE [Ignored _remove_batch_dim, _add_batch_dim]
- batched_inputs = [arg if in_dim is None else
- torch._add_batch_dim(arg, in_dim, vmap_level)
- for in_dim, arg in zip(flat_in_dims, flat_args)]
- return tree_unflatten(batched_inputs, args_spec), batch_size
- # Undos the batching (and any batch dimensions) associated with the `vmap_level`.
- def _unwrap_batched(
- batched_outputs: Union[Tensor, Tuple[Tensor, ...]],
- out_dims: out_dims_t, vmap_level: int, batch_size: int, func: Callable,
- allow_none_pass_through: bool = False) -> Tuple:
- num_outputs = _num_outputs(batched_outputs)
- out_dims_as_tuple = _as_tuple(
- out_dims, num_outputs,
- lambda: f'vmap({_get_name(func)}, ..., out_dims={out_dims}): `out_dims` must '
- f'have one dim per output (got {num_outputs} outputs) of {_get_name(func)}.')
- # NOTE [Ignored _remove_batch_dim, _add_batch_dim]
- # There is something wrong with our type bindings for functions that begin
- # with '_', see #40397.
- if isinstance(batched_outputs, Tensor):
- out_dim = out_dims_as_tuple[0]
- return torch._remove_batch_dim(batched_outputs, vmap_level, batch_size, out_dim) # type: ignore[return-value]
- if allow_none_pass_through:
- return tuple((torch._remove_batch_dim(out, vmap_level, batch_size, out_dim) if out is not None else None)
- for out, out_dim in zip(batched_outputs, out_dims_as_tuple))
- else:
- return tuple(torch._remove_batch_dim(out, vmap_level, batch_size, out_dim)
- for out, out_dim in zip(batched_outputs, out_dims_as_tuple))
- # Checks that `fn` returned one or more Tensors and nothing else.
- # NB: A python function that return multiple arguments returns a single tuple,
- # so we are effectively checking that `outputs` is a single Tensor or a tuple of
- # Tensors.
- def _validate_outputs(outputs: Any, func: Callable) -> None:
- if isinstance(outputs, Tensor):
- return
- if not isinstance(outputs, tuple):
- raise ValueError(f'vmap({_get_name(func)}, ...): `{_get_name(func)}` must only return '
- f'Tensors, got type {type(outputs)} as the return.')
- for idx, output in enumerate(outputs):
- if isinstance(output, Tensor):
- continue
- raise ValueError(f'vmap({_get_name(func)}, ...): `{_get_name(func)}` must only return '
- f'Tensors, got type {type(output)} for return {idx}.')
- def _check_out_dims_is_int_or_int_tuple(out_dims: out_dims_t, func: Callable) -> None:
- if isinstance(out_dims, int):
- return
- if not isinstance(out_dims, tuple) or \
- not all([isinstance(out_dim, int) for out_dim in out_dims]):
- raise ValueError(
- f'vmap({_get_name(func)}, ..., out_dims={out_dims}): `out_dims` must be '
- f'an int or a tuple of int representing where in the outputs the '
- f'vmapped dimension should appear.')
- def _get_name(func: Callable):
- if hasattr(func, '__name__'):
- return func.__name__
- # Not all callables have __name__, in fact, only static functions/methods do.
- # A callable created via functools.partial or an nn.Module, to name some
- # examples, don't have a __name__.
- return repr(func)
- # vmap(func)(inputs) wraps all Tensor inputs to be batched in BatchedTensors,
- # sends those into func, and then unwraps the output BatchedTensors. Operations
- # on BatchedTensors perform the batched operations that the user is asking for.
- def vmap(func: Callable, in_dims: in_dims_t = 0, out_dims: out_dims_t = 0) -> Callable:
- """
- vmap is the vectorizing map. Returns a new function that maps `func` over some
- dimension of the inputs. Semantically, vmap pushes the map into PyTorch
- operations called by `func`, effectively vectorizing those operations.
- vmap is useful for handling batch dimensions: one can write a function `func`
- that runs on examples and then lift it to a function that can take batches of
- examples with `vmap(func)`. vmap can also be used to compute batched
- gradients when composed with autograd.
- .. note::
- We have moved development of vmap to
- `functorch. <https://github.com/pytorch/functorch>`_ functorch's
- vmap is able to arbitrarily compose with gradient computation
- and contains significant performance improvements.
- Please give that a try if that is what you're looking for.
- Furthermore, if you're interested in using vmap for your use case,
- please `contact us! <https://github.com/pytorch/pytorch/issues/42368>`_
- We're interested in gathering feedback from early adopters to inform
- the design.
- .. warning::
- torch.vmap is an experimental prototype that is subject to
- change and/or deletion. Please use at your own risk.
- Args:
- func (function): A Python function that takes one or more arguments.
- Must return one or more Tensors.
- in_dims (int or nested structure): Specifies which dimension of the
- inputs should be mapped over. `in_dims` should have a structure
- like the inputs. If the `in_dim` for a particular input is None,
- then that indicates there is no map dimension. Default: 0.
- out_dims (int or Tuple[int]): Specifies where the mapped dimension
- should appear in the outputs. If `out_dims` is a Tuple, then it should
- have one element per output. Default: 0.
- Returns:
- Returns a new "batched" function. It takes the same inputs as `func`,
- except each input has an extra dimension at the index specified by `in_dims`.
- It takes returns the same outputs as `func`, except each output has
- an extra dimension at the index specified by `out_dims`.
- .. warning:
- vmap works best with functional-style code. Please do not perform any
- side-effects in `func`, with the exception of in-place PyTorch operations.
- Examples of side-effects include mutating Python data structures and
- assigning values to variables not captured in `func`.
- One example of using `vmap` is to compute batched dot products. PyTorch
- doesn't provide a batched `torch.dot` API; instead of unsuccessfully
- rummaging through docs, use `vmap` to construct a new function.
- >>> torch.dot # [D], [D] -> []
- >>> batched_dot = torch.vmap(torch.dot) # [N, D], [N, D] -> [N]
- >>> x, y = torch.randn(2, 5), torch.randn(2, 5)
- >>> batched_dot(x, y)
- `vmap` can be helpful in hiding batch dimensions, leading to a simpler
- model authoring experience.
- >>> batch_size, feature_size = 3, 5
- >>> weights = torch.randn(feature_size, requires_grad=True)
- >>>
- >>> def model(feature_vec):
- >>> # Very simple linear model with activation
- >>> return feature_vec.dot(weights).relu()
- >>>
- >>> examples = torch.randn(batch_size, feature_size)
- >>> result = torch.vmap(model)(examples)
- `vmap` can also help vectorize computations that were previously difficult
- or impossible to batch. One example is higher-order gradient computation.
- The PyTorch autograd engine computes vjps (vector-Jacobian products).
- Computing a full Jacobian matrix for some function f: R^N -> R^N usually
- requires N calls to `autograd.grad`, one per Jacobian row. Using `vmap`,
- we can vectorize the whole computation, computing the Jacobian in a single
- call to `autograd.grad`.
- >>> # Setup
- >>> N = 5
- >>> f = lambda x: x ** 2
- >>> x = torch.randn(N, requires_grad=True)
- >>> y = f(x)
- >>> I_N = torch.eye(N)
- >>>
- >>> # Sequential approach
- >>> jacobian_rows = [torch.autograd.grad(y, x, v, retain_graph=True)[0]
- >>> for v in I_N.unbind()]
- >>> jacobian = torch.stack(jacobian_rows)
- >>>
- >>> # vectorized gradient computation
- >>> def get_vjp(v):
- >>> return torch.autograd.grad(y, x, v)
- >>> jacobian = torch.vmap(get_vjp)(I_N)
- .. note::
- vmap does not provide general autobatching or handle variable-length
- sequences out of the box.
- """
- warnings.warn(
- 'Please use functorch.vmap instead of torch.vmap '
- '(https://github.com/pytorch/functorch). '
- 'We\'ve moved development on torch.vmap over to functorch; '
- 'functorch\'s vmap has a multitude of significant performance and '
- 'functionality improvements.',
- stacklevel=2)
- return _vmap(func, in_dims, out_dims)
- # A version of vmap but without the initial "experimental prototype" warning
- def _vmap(func: Callable, in_dims: in_dims_t = 0, out_dims: out_dims_t = 0, allow_none_pass_through: bool = False) -> Callable:
- # The `allow_none_pass_through` argument is a temporary workaround may be removed.
- # Currently it enables us to wrap the call in `autograd.grad` to the autograd engine,
- # which may return None if any of the inputs are unused. See the issue discussing this:
- # https://github.com/facebookresearch/functorch/issues/159.
- @functools.wraps(func)
- def wrapped(*args):
- _check_out_dims_is_int_or_int_tuple(out_dims, func)
- vmap_level = torch._C._vmapmode_increment_nesting()
- try:
- batched_inputs, batch_size = _create_batched_inputs(in_dims, args, vmap_level, func)
- batched_outputs = func(*batched_inputs)
- if not allow_none_pass_through:
- _validate_outputs(batched_outputs, func)
- return _unwrap_batched(batched_outputs, out_dims, vmap_level, batch_size, func,
- allow_none_pass_through=allow_none_pass_through)
- finally:
- torch._C._vmapmode_decrement_nesting()
- return wrapped
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