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WFA groups semi-global/overlap/extension into 'ends free', which makes sense to me. (In fact I should add that to the fig somehow.) Wasn't aware that semi-global is also used fo the general thing. I replaced {global-ext, ext} by {ext, local-ext}, since the global one makes more sense / is simpler.

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I like the 'ends free' term! That feels like a much better descriptor than semi-global. Thanks for the twitter link too, that's helpful to see. I wonder why parasail chose to implement a "dynamic" semi-global instead of implementing all the different specific combinations.

I thought about it a bit more, and actually I think that in practice, ends-free is not actually a catch-all. Rather, it's the case where relatively short ends are free, so that the problem is still sufficiently similar to global alignment.

Ohhh, tell me more about clipping penalties! I think that's exactly what I'm trying to formalize more in the semi-global chapter, and I haven't really seen any formal treatment of this so far. Like, one idea (that's easy and I already implemented) is to replace free ends by eg cost-0.5-per-char 1/

by simply alternating edges of cost 0 and 1 along the edges. The ratio of 0 and 1 can also make more fine-grained clipping-costs. This can also replace a fixed cut-off length by just a fixed cost along the *entire* edge. Do you happen to know some papers on this?

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It seems that clipping is something everyone does, but nobody cares to elaborate and define it properly. I always assumed clipping was a cost-per-char, but it seems to rather be a fixed cost. Is there a max clipping length? What does minimap do? Someone lift the taboo?