716 lines
21 KiB
Python
716 lines
21 KiB
Python
"""
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Backends in `einops` are organized to meet the following requirements
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- backends are not imported unless those are actually needed, because
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- backends may not be installed
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- importing all available backends will drive to significant memory footprint
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- backends may be present but installed with errors (but never used),
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importing may drive to crashes
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- backend should be either symbolic or imperative
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- this determines which methods (from_numpy/to_numpy or create_symbol/eval_symbol) should be defined
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- if backend can't provide symbols for shape dimensions, UnknownSize objects are used
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"""
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import sys
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__author__ = "Alex Rogozhnikov"
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_loaded_backends: dict = {}
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_type2backend: dict = {}
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_debug_importing = False
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def get_backend(tensor) -> "AbstractBackend":
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"""
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Takes a correct backend (e.g. numpy backend if tensor is numpy.ndarray) for a tensor.
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If needed, imports package and creates backend
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"""
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_type = type(tensor)
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_result = _type2backend.get(_type, None)
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if _result is not None:
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return _result
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for framework_name, backend in list(_loaded_backends.items()):
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if backend.is_appropriate_type(tensor):
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_type2backend[_type] = backend
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return backend
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# Find backend subclasses recursively
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backend_subclasses = []
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backends = AbstractBackend.__subclasses__()
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while backends:
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backend = backends.pop()
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backends += backend.__subclasses__()
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backend_subclasses.append(backend)
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for BackendSubclass in backend_subclasses:
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if _debug_importing:
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print("Testing for subclass of ", BackendSubclass)
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if BackendSubclass.framework_name not in _loaded_backends:
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# check that module was already imported. Otherwise it can't be imported
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if BackendSubclass.framework_name in sys.modules:
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if _debug_importing:
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print("Imported backend for ", BackendSubclass.framework_name)
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backend = BackendSubclass()
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_loaded_backends[backend.framework_name] = backend
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if backend.is_appropriate_type(tensor):
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_type2backend[_type] = backend
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return backend
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raise RuntimeError("Tensor type unknown to einops {}".format(type(tensor)))
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class AbstractBackend:
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"""Base backend class, major part of methods are only for debugging purposes."""
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framework_name: str
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def is_appropriate_type(self, tensor):
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"""helper method should recognize tensors it can handle"""
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raise NotImplementedError()
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def from_numpy(self, x):
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raise NotImplementedError("framework doesn't support imperative execution")
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def to_numpy(self, x):
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raise NotImplementedError("framework doesn't support imperative execution")
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def create_symbol(self, shape):
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raise NotImplementedError("framework doesn't support symbolic computations")
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def eval_symbol(self, symbol, input_dict):
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raise NotImplementedError("framework doesn't support symbolic computations")
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def arange(self, start, stop):
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# supplementary method used only in testing, so should implement CPU version
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raise NotImplementedError("framework doesn't implement arange")
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def shape(self, x):
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"""shape should return a tuple with integers or "shape symbols" (which will evaluate to actual size)"""
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return x.shape
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def reshape(self, x, shape):
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return x.reshape(shape)
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def transpose(self, x, axes):
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return x.transpose(axes)
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def reduce(self, x, operation, axes):
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return getattr(x, operation)(axis=axes)
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def stack_on_zeroth_dimension(self, tensors: list):
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raise NotImplementedError()
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def add_axis(self, x, new_position):
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raise NotImplementedError()
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def add_axes(self, x, n_axes, pos2len):
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repeats = [1] * n_axes
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for axis_position, axis_length in pos2len.items():
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x = self.add_axis(x, axis_position)
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repeats[axis_position] = axis_length
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return self.tile(x, tuple(repeats))
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def tile(self, x, repeats):
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"""repeats - same lengths as x.shape"""
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raise NotImplementedError()
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def concat(self, tensors, axis: int):
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"""concatenates tensors along axis.
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Assume identical across tensors: devices, dtypes and shapes except selected axis."""
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raise NotImplementedError()
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def is_float_type(self, x):
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# some backends (torch) can't compute average for non-floating types.
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# Decided to drop average for all backends if type is not floating
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raise NotImplementedError()
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def layers(self):
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raise NotImplementedError("backend does not provide layers")
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def __repr__(self):
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return "<einops backend for {}>".format(self.framework_name)
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def einsum(self, pattern, *x):
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raise NotImplementedError("backend does not support einsum")
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class UnknownSize:
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"""pseudo-symbol for symbolic frameworks which do not provide symbols for shape elements"""
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def __floordiv__(self, other):
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return self
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def __eq__(self, other):
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return True # we don't know actual size
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def __mul__(self, other):
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return self
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def __rmul__(self, other):
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return self
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def __hash__(self):
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return hash(None)
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class NumpyBackend(AbstractBackend):
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framework_name = "numpy"
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def __init__(self):
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import numpy
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self.np = numpy
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, self.np.ndarray)
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def from_numpy(self, x):
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return x
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def to_numpy(self, x):
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return x
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def arange(self, start, stop):
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return self.np.arange(start, stop)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.np.stack(tensors)
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def tile(self, x, repeats):
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return self.np.tile(x, repeats)
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def concat(self, tensors, axis: int):
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return self.np.concatenate(tensors, axis=axis)
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def is_float_type(self, x):
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return x.dtype in ("float16", "float32", "float64", "float128", "bfloat16")
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def add_axis(self, x, new_position):
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return self.np.expand_dims(x, new_position)
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def einsum(self, pattern, *x):
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return self.np.einsum(pattern, *x)
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class JaxBackend(NumpyBackend):
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framework_name = "jax"
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def __init__(self):
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super(JaxBackend, self).__init__()
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self.onp = self.np
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import jax.numpy
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self.np = jax.numpy
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def from_numpy(self, x):
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return self.np.asarray(x)
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def to_numpy(self, x):
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return self.onp.asarray(x)
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class TorchBackend(AbstractBackend):
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framework_name = "torch"
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def __init__(self):
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import torch
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self.torch = torch
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# importing would register operations in torch._dynamo for torch.compile
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from . import _torch_specific # noqa
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, self.torch.Tensor)
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def from_numpy(self, x):
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variable = self.torch.from_numpy(x)
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if self.is_float_type(variable):
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# attach grad only to floating types
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variable.requires_grad = True
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return variable
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def to_numpy(self, x):
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return x.detach().cpu().numpy()
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def arange(self, start, stop):
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return self.torch.arange(start, stop, dtype=self.torch.int64)
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def reduce(self, x, operation, reduced_axes):
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if operation == "min":
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return x.amin(dim=reduced_axes)
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elif operation == "max":
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return x.amax(dim=reduced_axes)
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elif operation == "sum":
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return x.sum(dim=reduced_axes)
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elif operation == "mean":
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return x.mean(dim=reduced_axes)
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elif operation in ("any", "all", "prod"):
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# pytorch supports reducing only one operation at a time
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for i in list(sorted(reduced_axes))[::-1]:
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x = getattr(x, operation)(dim=i)
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return x
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else:
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raise NotImplementedError("Unknown reduction ", operation)
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def transpose(self, x, axes):
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return x.permute(axes)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.torch.stack(tensors)
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def add_axes(self, x, n_axes, pos2len):
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repeats = [-1] * n_axes
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for axis_position, axis_length in pos2len.items():
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x = self.add_axis(x, axis_position)
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repeats[axis_position] = axis_length
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return x.expand(repeats)
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def tile(self, x, repeats):
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return x.repeat(repeats)
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def concat(self, tensors, axis: int):
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return self.torch.cat(tensors, dim=axis)
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def add_axis(self, x, new_position):
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return self.torch.unsqueeze(x, new_position)
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def is_float_type(self, x):
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return x.dtype in [self.torch.float16, self.torch.float32, self.torch.float64, self.torch.bfloat16]
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def layers(self):
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from .layers import torch
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return torch
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def einsum(self, pattern, *x):
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return self.torch.einsum(pattern, *x)
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class CupyBackend(AbstractBackend):
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framework_name = "cupy"
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def __init__(self):
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import cupy
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self.cupy = cupy
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, self.cupy.ndarray)
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def from_numpy(self, x):
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return self.cupy.asarray(x)
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def to_numpy(self, x):
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return self.cupy.asnumpy(x)
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def arange(self, start, stop):
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return self.cupy.arange(start, stop)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.cupy.stack(tensors)
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def tile(self, x, repeats):
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return self.cupy.tile(x, repeats)
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def concat(self, tensors, axis: int):
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return self.cupy.concatenate(tensors, axis=axis)
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def add_axis(self, x, new_position):
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return self.cupy.expand_dims(x, new_position)
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def is_float_type(self, x):
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return x.dtype in ("float16", "float32", "float64", "float128", "bfloat16")
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def einsum(self, pattern, *x):
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return self.cupy.einsum(pattern, *x)
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class ChainerBackend(AbstractBackend):
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framework_name = "chainer"
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def __init__(self):
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import chainer
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import numpy
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self.numpy = numpy
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self.chainer = chainer
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, self.chainer.Variable)
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def from_numpy(self, x):
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return self.chainer.Variable(x.astype("float32"))
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def to_numpy(self, x):
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if isinstance(x, self.chainer.Variable):
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x = x.data
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return x
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def arange(self, start, stop):
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return self.numpy.arange(start, stop)
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def reduce(self, x, operation, axes):
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return getattr(self.chainer.functions, operation)(x, axis=axes)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.chainer.functions.stack(tensors)
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def tile(self, x, repeats):
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return self.chainer.functions.tile(x, repeats)
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def concat(self, tensors, axis: int):
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return self.chainer.functions.concat(tensors, axis=axis)
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def add_axis(self, x, new_position):
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return self.chainer.functions.expand_dims(x, new_position)
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def is_float_type(self, x):
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return x.dtype in ("float16", "float32", "float64", "float128", "bfloat16")
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def layers(self):
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from .layers import chainer
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return chainer
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def einsum(self, pattern, *x):
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return self.chainer.functions.einsum(pattern, *x)
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class HashableTuple:
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"""Overcomes non-hashability of symbolic elements"""
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def __init__(self, elements: tuple):
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self.elements = elements
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def __iter__(self):
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for x in self.elements:
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yield x
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def __len__(self):
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return len(self.elements)
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def __getitem__(self, item):
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return self.elements[item]
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# default equality and hash is used (True only with itself, hash taken of id)
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class TensorflowBackend(AbstractBackend):
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framework_name = "tensorflow"
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def __init__(self):
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import tensorflow
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self.tf = tensorflow
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, (self.tf.Tensor, self.tf.Variable))
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def from_numpy(self, x):
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assert self.tf.executing_eagerly()
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return self.tf.convert_to_tensor(x)
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def to_numpy(self, x):
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assert self.tf.executing_eagerly()
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return x.numpy()
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def arange(self, start, stop):
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return self.tf.range(start, stop)
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def shape(self, x):
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if self.tf.executing_eagerly():
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return tuple(UnknownSize() if d is None else int(d) for d in x.shape)
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else:
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static_shape = x.shape.as_list()
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tf_shape = self.tf.shape(x)
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# use the static shape where known, otherwise use the TF shape components
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shape = tuple([s or tf_shape[dim] for dim, s in enumerate(static_shape)])
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try:
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hash(shape)
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return shape
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except BaseException:
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# unhashable symbols in shape. Wrap tuple to be hashable.
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return HashableTuple(shape)
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def reduce(self, x, operation, axes):
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return getattr(self.tf, "reduce_" + operation)(x, axis=axes)
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def reshape(self, x, shape):
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return self.tf.reshape(x, shape)
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def transpose(self, x, axes):
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return self.tf.transpose(x, axes)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.tf.stack(tensors)
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def tile(self, x, repeats):
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return self.tf.tile(x, repeats)
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def concat(self, tensors, axis: int):
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return self.tf.concat(tensors, axis=axis)
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def add_axis(self, x, new_position):
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return self.tf.expand_dims(x, new_position)
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def is_float_type(self, x):
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return x.dtype in ("float16", "float32", "float64", "float128", "bfloat16")
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def layers(self):
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from .layers import tensorflow
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return tensorflow
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def einsum(self, pattern, *x):
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return self.tf.einsum(pattern, *x)
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class TFKerasBackend(AbstractBackend):
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framework_name = "tensorflow.keras"
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def __init__(self):
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import tensorflow as tf
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self.tf = tf
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self.keras = tf.keras
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self.K = tf.keras.backend
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def is_appropriate_type(self, tensor):
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return self.tf.is_tensor(tensor) and self.K.is_keras_tensor(tensor)
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def create_symbol(self, shape):
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return self.keras.Input(batch_shape=shape)
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def eval_symbol(self, symbol, input_dict):
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model = self.keras.models.Model([var for (var, _) in input_dict], symbol)
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return model.predict_on_batch([val for (_, val) in input_dict])
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def arange(self, start, stop):
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return self.K.arange(start, stop)
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def shape(self, x):
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shape = self.K.shape(x) # tf tensor
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return HashableTuple(tuple(shape))
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def reduce(self, x, operation, axes):
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return getattr(self.K, operation)(x, axis=axes)
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def reshape(self, x, shape):
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return self.K.reshape(x, shape)
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def transpose(self, x, axes):
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return self.K.permute_dimensions(x, axes)
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def stack_on_zeroth_dimension(self, tensors: list):
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return self.K.stack(tensors)
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def tile(self, x, repeats):
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return self.K.tile(x, repeats)
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def concat(self, tensors, axis: int):
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return self.K.concatenate(tensors, axis=axis)
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def add_axis(self, x, new_position):
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return self.K.expand_dims(x, new_position)
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def is_float_type(self, x):
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return "float" in self.K.dtype(x)
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def layers(self):
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from .layers import keras
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return keras
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class OneFlowBackend(AbstractBackend):
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framework_name = "oneflow"
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def __init__(self):
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import oneflow as flow
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self.flow = flow
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def is_appropriate_type(self, tensor):
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return isinstance(tensor, self.flow.Tensor)
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def from_numpy(self, x):
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variable = self.flow.from_numpy(x)
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if self.is_float_type(variable):
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# attach grad only to floating types
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variable.requires_grad = True
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return variable
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def to_numpy(self, x):
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return x.detach().cpu().numpy()
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def arange(self, start, stop):
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return self.flow.arange(start, stop, dtype=self.flow.int64)
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def reduce(self, x, operation, reduced_axes):
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for axis in sorted(reduced_axes, reverse=True):
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if operation == "min":
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x, _ = x.min(dim=axis)
|
|
elif operation == "max":
|
|
x, _ = x.max(dim=axis)
|
|
elif operation in ["sum", "mean", "prod", "any", "all"]:
|
|
x = getattr(x, operation)(dim=axis)
|
|
else:
|
|
raise NotImplementedError("Unknown reduction ", operation)
|
|
return x
|
|
|
|
def transpose(self, x, axes):
|
|
return x.permute(axes)
|
|
|
|
def stack_on_zeroth_dimension(self, tensors: list):
|
|
return self.flow.stack(tensors)
|
|
|
|
def add_axes(self, x, n_axes, pos2len):
|
|
repeats = [-1] * n_axes
|
|
for axis_position, axis_length in pos2len.items():
|
|
x = self.add_axis(x, axis_position)
|
|
repeats[axis_position] = axis_length
|
|
return x.expand(*repeats)
|
|
|
|
def tile(self, x, repeats):
|
|
return x.repeat(repeats)
|
|
|
|
def concat(self, tensors, axis: int):
|
|
return self.flow.concat(tensors, dim=axis)
|
|
|
|
def add_axis(self, x, new_position):
|
|
return self.flow.unsqueeze(x, new_position)
|
|
|
|
def is_float_type(self, x):
|
|
return x.dtype in [self.flow.float16, self.flow.float32, self.flow.float64]
|
|
|
|
def layers(self):
|
|
from .layers import oneflow
|
|
|
|
return oneflow
|
|
|
|
def einsum(self, pattern, *x):
|
|
return self.flow.einsum(pattern, *x)
|
|
|
|
|
|
class PaddleBackend(AbstractBackend):
|
|
framework_name = "paddle"
|
|
|
|
def __init__(self):
|
|
import paddle
|
|
|
|
self.paddle = paddle
|
|
|
|
def is_appropriate_type(self, tensor):
|
|
return isinstance(tensor, (self.paddle.Tensor, self.paddle.static.Variable))
|
|
|
|
def from_numpy(self, x):
|
|
tensor = self.paddle.to_tensor(x)
|
|
tensor.stop_gradient = False
|
|
return tensor
|
|
|
|
def to_numpy(self, x):
|
|
return x.detach().numpy()
|
|
|
|
def arange(self, start, stop):
|
|
return self.paddle.arange(start, stop, dtype=self.paddle.int64)
|
|
|
|
def reduce(self, x, operation, axes):
|
|
if len(axes) == x.ndim:
|
|
# currently paddle returns 1d tensor instead of 0d
|
|
return super().reduce(x, operation, axes).squeeze(0)
|
|
else:
|
|
return super().reduce(x, operation, axes)
|
|
|
|
def transpose(self, x, axes):
|
|
return x.transpose(axes)
|
|
|
|
def add_axes(self, x, n_axes, pos2len):
|
|
repeats = [-1] * n_axes
|
|
for axis_position, axis_length in pos2len.items():
|
|
x = self.add_axis(x, axis_position)
|
|
repeats[axis_position] = axis_length
|
|
return x.expand(repeats)
|
|
|
|
def stack_on_zeroth_dimension(self, tensors: list):
|
|
return self.paddle.stack(tensors)
|
|
|
|
def reshape(self, x, shape):
|
|
return x.reshape(shape)
|
|
|
|
def tile(self, x, repeats):
|
|
return x.tile(repeats)
|
|
|
|
def concat(self, tensors, axis: int):
|
|
return self.paddle.concat(tensors, axis=axis)
|
|
|
|
def add_axis(self, x, new_position):
|
|
return x.unsqueeze(new_position)
|
|
|
|
def is_float_type(self, x):
|
|
return x.dtype in [self.paddle.float16, self.paddle.float32, self.paddle.float64]
|
|
|
|
def layers(self):
|
|
from .layers import paddle
|
|
|
|
return paddle
|
|
|
|
def einsum(self, pattern, *x):
|
|
return self.paddle.einsum(pattern, *x)
|
|
|
|
def shape(self, x):
|
|
return tuple(x.shape)
|
|
|
|
|
|
class TinygradBackend(AbstractBackend):
|
|
framework_name = "tinygrad"
|
|
|
|
def __init__(self):
|
|
import tinygrad
|
|
|
|
self.tinygrad = tinygrad
|
|
|
|
def is_appropriate_type(self, tensor):
|
|
return isinstance(tensor, self.tinygrad.Tensor)
|
|
|
|
def from_numpy(self, x):
|
|
return self.tinygrad.Tensor(x)
|
|
|
|
def to_numpy(self, x):
|
|
return x.numpy()
|
|
|
|
def arange(self, start, stop):
|
|
return self.tinygrad.Tensor.arange(start, stop)
|
|
|
|
def shape(self, x):
|
|
return x.shape
|
|
|
|
def reshape(self, x, shape):
|
|
return x.reshape(shape)
|
|
|
|
def transpose(self, x, axes):
|
|
return x.permute(axes)
|
|
|
|
def reduce(self, x, operation, axes):
|
|
for axis in sorted(axes, reverse=True):
|
|
x = getattr(x, operation)(axis=axis)
|
|
return x
|
|
|
|
def stack_on_zeroth_dimension(self, tensors: list):
|
|
return self.tinygrad.Tensor.stack(tensors)
|
|
|
|
def add_axis(self, x, new_position):
|
|
return x.unsqueeze(new_position)
|
|
|
|
def tile(self, x, repeats):
|
|
return x.repeat(repeats)
|
|
|
|
def concat(self, tensors, axis: int):
|
|
return tensors[0].cat(tensors[1:], axis) if len(tensors) > 1 else tensors[0]
|
|
|
|
def is_float_type(self, x):
|
|
return self.tinygrad.dtypes.is_float(x.dtype)
|
|
|
|
def einsum(self, pattern, *x):
|
|
return self.tinygrad.Tensor.einsum(pattern, *x)
|