Re: Page and line penalties

[Han-Wen Nienhuys]

Joe Neeman wrote:
> On Fri, 7 Apr 2006 20:02, Han-Wen Nienhuys wrote:
> > Juergen Reuter wrote:
> > > Maybe I am totally wrong, but this discussion reminds me of an issue
> > > that I raised on Nov 18, last year; see the thread starting here:
> > >
> > > http://lists.gnu.org/archive/html/lilypond-devel/2005-11/msg00088.html
> > >
> > > I am mentioning this thread just in case that you are looking for
> > > interesting test examples.
> > This is really something different. To solve this, we should rather
> > introduce some convexity in the penalties, so one perfect plus two
> > extremes is much worse than three so-so lines.
>
> In constrained-breaking, I use the square of the force rather than its 
> absolute value -- I made the change for precisely this reason.

Hmm, doesn't that introduce scaling/dimension problems?  Or does 
everything else also use square(force) as a dimension?  It would be 
better if we could figure out a scaling constant, and then introduce an 
arbitrary convex function, which may be set separately. I would guess 
that the scaling should depend on line-width and spacing-increment.

FWIW, I used x^{1.1} for a similar problem with cross-staff knee beaming.

--

Han-Wen Nienhuys - address@hidden - http://www.xs4all.nl/~hanwen

LilyPond Software Design
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