[Haskell-beginners] Diagrams brain twister

[Adrian May]

Wow, Thanks! That's precisely what I was after, in extreme detail.

Adrian.




On 16 May 2013 00:21, Brent Yorgey <byorgey at seas.upenn.edu> wrote:

> On Wed, May 15, 2013 at 11:06:28AM +0800, Adrian May wrote:
> > Hi all,
> >
> > I'm trying to draw a picture with diagrams (this isn't the gantt chart I
> > was talking about before.)
> >
> > I have a load of objects strewn around a diagram according to their own
> > sweet logic, and for *some* of them, I want to draw a horizontal line
> going
> > from the right hand edge of the object to some globally fixed x
> coordinate,
> > call it the "margin". So those lines are all different lengths because
> the
> > objects are all over the place, but their right-hand ends should all be
> > aligned vertically.
> >
> > This seems quite hard, because that sweet logic is already quite
> > complicated and local to a set of objects in the immediate neighbourhood
> of
> > the object in question. Somehow I have to tease out a selection of them
> and
> > process each of them into this line whose properties depend on where the
> > object is from the global perspective.
>
> Hi Adrian,
>
> Actually, diagrams provides some tools specifically for accomplishing
> this kind of thing, so it is not that bad.  (This question would
> probably be more appropriate on the diagrams mailing list---it has to
> do with the workings of diagrams in particular and not much to do with
> Haskell in general---so I'm also cc'ing that mailing list. Luckily I
> am subscribed to both. =)
>
> The key is that you can give names to subparts of your diagram,
> combine them using whatever arbitrarily complicated logic you want,
> and then later learn some things about where they ended up in the
> overall diagram.  Here is an example:
>
> > {-# LANGUAGE NoMonomorphismRestriction #-}
> >
> > import           Data.Maybe                     (fromMaybe)
> > import           Diagrams.Backend.SVG.CmdLine  -- or Cairo, etc.
> > import           Diagrams.Prelude
> >
> > -- We can "mark" things just by giving them the name ()
> > mark = named ()
> >
> > -- A bunch of stuff, each positioned according to its own sweet logic,
> > -- some of which are marked.  Note, it's critical that we mark each
> > -- subdiagram *after* any transformations which we want to affect how
> > -- its "right edge" is determined (e.g. the scaleX on the circle
> > -- below), but *before* any transformations which serve to position it
> > -- in the overall diagram (e.g. the translations of the pentagon and
> > -- square).
> > stuff = ( triangle 3 # mark
> >           ===
> >           circle 1
> >         )
> >         |||
> >         ( pentagon 2 # mark # translateY 5
> >           ===
> >           circle 0.5 # scaleX 3 # mark
> >         )
> >         |||
> >         ( square 2 # mark # translateY 2 )
> >
> > -- Draw horizontal lines extending from the right edges of any marked
> > -- subdiagram to the given x-coordinate.  Extract all the marked
> > -- subdiagrams using 'withNameAll ()', turn each into a function to
> > -- draw the required line, and apply all of them.
> > drawLinesTo x = withNameAll () $ \subs -> applyAll (map drawLineFrom
> subs)
> >   where
> >     drawLineFrom sub = atop (edgePt ~~ xPoint)
> >       where
> >         -- Compute the point on the right edge of the subdiagram. This
> >         -- is a little ugly at the moment; I hope to add combinators
> >         -- to make this nicer.
> >         edgePt = fromMaybe origin (maxTraceP (location sub) unitX sub)
> >         -- Compute the other endpoint of the segment.
> >         y      = snd (unp2 (location sub))
> >         xPoint = p2 (x,y)
> >
> > main = defaultMain (stuff # drawLinesTo 13 # centerXY # pad 1.1)
>
> which produces this output:
>
>   http://www.cis.upenn.edu/~byorgey/hosted/Adrian.pdf
>
> The code of this example is also available here:
> https://github.com/byorgey/diagrams-play/blob/master/Adrian.hs .
>
> Hope this helps!  If you have more questions feel free to ask on the
> diagrams mailing list or in the #diagrams IRC channel on freenode.
>
> -Brent
>
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