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logsumexp handling of edge-cases #426

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79 changes: 56 additions & 23 deletions test/composite/test_logsumexp.py
Original file line number Diff line number Diff line change
@@ -1,31 +1,64 @@
from itertools import product

import pytest
import torch
from torch_scatter import scatter_logsumexp
from torch_scatter.testing import float_dtypes, assert_equal

edge_values = [0.0, 1.0, -1e33, 1e33, float("nan"), float("-inf"),
float("inf")]

tests = [
[0.5, -2.1, 3.2],
[],
*map(list, product(edge_values, edge_values)),
]


@pytest.mark.parametrize('src,dtype', product(tests, float_dtypes))
def test_logsumexp(src, dtype):
src = torch.tensor(src, dtype=dtype)
index = torch.zeros_like(src, dtype=torch.long)
out_scatter = scatter_logsumexp(src, index, dim_size=1)
out_torch = torch.logsumexp(src, dim=0, keepdim=True)
assert_equal(out_scatter, out_torch, equal_nan=True)


@pytest.mark.parametrize('src,out', product(tests, edge_values))
def test_logsumexp_inplace(src, out):
src = torch.tensor(src)
out = torch.tensor([out])
out_scatter = out.clone()
index = torch.zeros_like(src, dtype=torch.long)
scatter_logsumexp(src, index, out=out_scatter)
out_torch = torch.logsumexp(torch.cat([out, src]), dim=0, keepdim=True)
assert_equal(out_scatter, out_torch, equal_nan=True)

def test_logsumexp():
inputs = torch.tensor([
0.5,
0.5,
0.0,
-2.1,
3.2,
7.0,
-1.0,
-100.0,
])
inputs.requires_grad_()
index = torch.tensor([0, 0, 1, 1, 1, 2, 4, 4])
splits = [2, 3, 1, 0, 2]

outputs = scatter_logsumexp(inputs, index)

for src, out in zip(inputs.split(splits), outputs.unbind()):
if src.numel() > 0:
assert out.tolist() == torch.logsumexp(src, dim=0).tolist()
else:
assert out.item() == 0.0

def test_logsumexp_parallel_backward_jit():
splits = [len(src) for src in tests]
srcs = torch.tensor(sum(tests, start=[]))
index = torch.repeat_interleave(torch.tensor(splits))

srcs.requires_grad_()
outputs = scatter_logsumexp(srcs, index)

for src, out_scatter in zip(srcs.split(splits), outputs.unbind()):
out_torch = torch.logsumexp(src, dim=0)
assert_equal(out_scatter, out_torch, equal_nan=True)

outputs.backward(torch.randn_like(outputs))

jit = torch.jit.script(scatter_logsumexp)
assert jit(inputs, index).tolist() == outputs.tolist()
assert_equal(jit(srcs, index), outputs, equal_nan=True)


def test_logsumexp_inplace_dimsize():
# if both `out` and `dim_size` are provided, they should match
src = torch.zeros(3)
index = src.to(torch.long)
out = torch.zeros(1)

scatter_logsumexp(src, index, 0, out, dim_size=1)
with pytest.raises(AssertionError):
scatter_logsumexp(src, index, 0, out, dim_size=2)
36 changes: 19 additions & 17 deletions torch_scatter/composite/logsumexp.py
Original file line number Diff line number Diff line change
Expand Up @@ -8,34 +8,36 @@

def scatter_logsumexp(src: torch.Tensor, index: torch.Tensor, dim: int = -1,
out: Optional[torch.Tensor] = None,
dim_size: Optional[int] = None,
eps: float = 1e-12) -> torch.Tensor:
dim_size: Optional[int] = None) -> torch.Tensor:
if not torch.is_floating_point(src):
raise ValueError('`scatter_logsumexp` can only be computed over '
'tensors with floating point data types.')

index = broadcast(index, src, dim)

if out is not None:
dim_size = out.size(dim)
else:
if dim_size is None:
if dim_size is None:
if out is not None:
dim_size = out.size(dim)
else:
dim_size = int(index.max()) + 1
elif out is not None:
assert dim_size == out.size(dim)

size = list(src.size())
size[dim] = dim_size
max_value_per_index = torch.full(size, float('-inf'), dtype=src.dtype,
device=src.device)
scatter_max(src, index, dim, max_value_per_index, dim_size=dim_size)[0]

if out is None:
max_value_per_index = torch.full(size, float('-inf'), dtype=src.dtype,
device=src.device)
else:
max_value_per_index = out.clone()
scatter_max(src, index, dim, max_value_per_index)
max_value_per_index.nan_to_num_(nan=0.0, posinf=0.0, neginf=0.0)
max_per_src_element = max_value_per_index.gather(dim, index)
recentered_score = src - max_per_src_element
recentered_score.masked_fill_(torch.isnan(recentered_score), float('-inf'))

src_sub_max = src - max_per_src_element
if out is not None:
out = out.sub_(max_value_per_index).exp_()

sum_per_index = scatter_sum(recentered_score.exp_(), index, dim, out,
dim_size)
out.sub_(max_value_per_index).exp_()

out = sum_per_index.add_(eps).log_().add_(max_value_per_index)
return out.nan_to_num_(neginf=0.0)
sum_per_index = scatter_sum(src_sub_max.exp_(), index, dim, out, dim_size)
return sum_per_index.log_().add_(max_value_per_index)
7 changes: 7 additions & 0 deletions torch_scatter/testing.py
Original file line number Diff line number Diff line change
Expand Up @@ -8,6 +8,7 @@
torch.half, torch.bfloat16, torch.float, torch.double, torch.int,
torch.long
]
float_dtypes = list(filter(lambda x: x.is_floating_point, dtypes))
grad_dtypes = [torch.float, torch.double]

devices = [torch.device('cpu')]
Expand All @@ -17,3 +18,9 @@

def tensor(x: Any, dtype: torch.dtype, device: torch.device):
return None if x is None else torch.tensor(x, device=device).to(dtype)


def assert_equal(actual: torch.Tensor, expected: torch.Tensor,
equal_nan=False):
torch.testing.assert_close(actual, expected, equal_nan=equal_nan, rtol=0,
atol=0)
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