SEEDS: update noise decomposition and refactor #9633
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Noise decomposition
The current noise decomposition seems right for the default
r, but not for other cases. For instance, settingr=1in SEEDS-2 will fully use a new noise, instead of depending on the noise from the first stage that already covers the current interval [s, t]. This seems not to match the claim that "overlapping time intervals need to be dependent."Therefore, I tried to follow the existed derivation to obtain another result.

In this decomposition, when
r=1,z1dominates the current interval. In SEEDS-2, this appears to produce relatively sharper results at low CFG and in the low NFE regime whenr > 0.5.Test with V-prediction ztsnr model and simple scheduler.
Other changes
h_phi_kvariable.