https://bugs.documentfoundation.org/show_bug.cgi?id=90027

--- Comment #13 from Vincent Boudry <[email protected]> ---
(In reply to Stéphane Guillou (stragu) from comment #12)
> (In reply to Heiko Tietze from comment #11)
> > (In reply to Stéphane Guillou (stragu) from comment #10)
> > > - Total path length = 8 cm
> > 
> > My point was that we actually show all information and I wonder if the
> > simple math  is worth all the effort.
> > 
> > But no objection to a statistics dialog similar to Writer.
> 
> It's simple maths for a 1 × 1 square but not for (groups of) more complex
> shapes.
> And we show some information for the selection rectangle, not for the
> objects.

It is rather simple for regular "non self-intersecting" forms, see e.g.:
https://www.wikihow.com/Calculate-the-Area-of-a-Polygon, based on
https://www.mathopenref.com/polygonregulararea.html
and https://www.mathsisfun.com/geometry/area-irregular-polygons.html
in the later there is even a interactive tool to calculate this:
   https://www.mathsisfun.com/geometry/area-polygon-drawing.html.

For self-intersecting polygons, this is more tricky. I guess the easiest is to
split them in two separate polygons.
This is properly handled for the drawing of filled polygons (see attachment).


Beyond precise calculations, there are also a very nice way of calculating on
integer coordinates, covering all cases:
   https://en.wikipedia.org/wiki/Pick's_theorem
that could be used if the coordinates are quantized with a reasonable large
step.

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