FSDPPrecision should support 16-true with a loss scaler

[zaptrem]

Description & Motivation

pytorch-lightning/src/lightning/fabric/plugins/precision/fsdp.py

Line 61 in f6fd046

if scaler is not None and self.precision != "16-mixed":

What if I want to use fp16 true, but with a loss scaler? This is closer to DeepSpeed's default settings. With FSDP, 16-true, no loss scaler my model doesn't converge. However, with FSDP, 16-true, and a loss scaler (commented out the assert and fixed the typo'ed return scaler instead of return none line) my model converges.

Pitch

No response

Alternatives

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Additional context

No response

cc @Borda

[oabuhamdan]

I came here to open this issue, and you already did.
I second this issue.

I fixed the package itself by adding

if scaler is not None and self.precision not in ["16-mixed", "16-true"]:
    raise ValueError(f"`precision={precision!r}` does not use a scaler, found {scaler}.")

but it has to be fixed naturally.