dmigow...@ikoffice.de writes:
> However, when I also want to order by id:
>    order by prep_natural_sort(d.number) ASC, 
>             d.id ASC  
> it does a sequential scan.

Sure.  That index doesn't satisfy this sort order.  (It could have
gotten chosen anyway, if the partial-index predicate were selective
enough, but evidently it isn't.)

> This is a bit stupid, also because the relevant data could be fetched very
> fast by the first order-by expression, and then the results could be ordered
> again, which is then much faster than doing a full sequential scan on the
> data.

That's an unsupported assertion, which we'd have to write a great deal
of code before we could even test.  There are a lot of more useful
places to spend hacking time, with greater assurance of the work not
being wasted.

                        regards, tom lane


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