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Tidy up the backwards pass of type 1 #74

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Oct 10, 2023
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61 changes: 24 additions & 37 deletions pytorch_finufft/functional.py
Original file line number Diff line number Diff line change
Expand Up @@ -776,7 +776,7 @@ def forward(
return finufft_out

@staticmethod
def backward(
def backward( # type: ignore[override]
ctx: Any, grad_output: torch.Tensor
) -> Tuple[Union[torch.Tensor, None], ...]:
"""
Expand All @@ -799,55 +799,42 @@ def backward(
finufftkwargs = ctx.finufftkwargs

points, values = ctx.saved_tensors

start_points = -(np.array(grad_output.shape) // 2)
end_points = start_points + grad_output.shape
slices = tuple(
slice(start, end) for start, end in zip(start_points, end_points)
)

# CPU idiosyncracy that needs to be done differently
coord_ramps = torch.from_numpy(np.mgrid[slices]).to(points.device)
device = points.device

grads_points = None
grad_values = None

ndim = points.shape[0]

nufft_func = get_nufft_func(ndim, 2, points.device.type)
nufft_func = get_nufft_func(ndim, 2, device.type)

if any(ctx.needs_input_grad) and _mode_ordering:
grad_output = torch.fft.fftshift(grad_output)

if ctx.needs_input_grad[0]:
# wrt points

if _mode_ordering:
coord_ramps = torch.fft.ifftshift(
coord_ramps, dim=tuple(range(1, ndim + 1))
start_points = -(torch.tensor(grad_output.shape, device=device) // 2)
end_points = start_points + torch.tensor(grad_output.shape, device=device)
coord_ramps = torch.stack(
torch.meshgrid(
*(
torch.arange(start, end, device=device)
for start, end in zip(start_points, end_points)
),
indexing="ij",
)
)

ramped_grad_output = coord_ramps * grad_output[np.newaxis] * 1j * _i_sign

grads_points = []
for ramp in ramped_grad_output: # we can batch this into finufft
if _mode_ordering:
ramp = torch.fft.fftshift(ramp)

backprop_ramp = nufft_func(
*points,
ramp,
isign=_i_sign,
**finufftkwargs,
)

grad_points = (backprop_ramp.conj() * values).real

grads_points.append(grad_points)

grads_points = torch.stack(grads_points)
# we can't batch in 1d case so we squeeze and fix up the ouput later
ramped_grad_output = (
coord_ramps * grad_output[np.newaxis] * 1j * _i_sign
).squeeze()
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backprop_ramp = nufft_func(
*points, ramped_grad_output, isign=_i_sign, **finufftkwargs
)
grads_points = torch.atleast_2d((backprop_ramp.conj() * values).real)
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if ctx.needs_input_grad[1]:
if _mode_ordering:
grad_output = torch.fft.fftshift(grad_output)

grad_values = nufft_func(
*points,
grad_output,
Expand Down
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