[bug #65901] [gropdf] unable to render ellipse with dashed/dotted atribute

[Deri James]

Follow-up Comment #1, bug #65901 (group groff):

After changing elipse to ellipse in the two code examples, I can't recreate
the first problem. The dots are visible in zathura. The issue with dashed is
real and is down to my appalling ability with maths. For dashed
ellipse/circles groff outputs each segment as an arc:-

Da h1 v1 h2 v2

Draw arc from current position to (h1,v1)+(h2 ,v2 ) with center at (h1,v1);
then
move the current position to the final point of the arc.

Postscript has an operator called arcn which grops uses:-

arcn
    centerx centery radius angle1 angle2 arcn 
    - 
    clockwise

PDF on the other hand uses cubic bezier curves:-

x1 y1 x2 y2 x3 y3 c

Append a cubic Bézier curve to the current path. The curve extends
from the current point to the point (x3 , y3 ), using (x1 , y1 ) and
(x2 , y2 ) as the Bézier control points (see “Cubic Bézier Curves,” be-
low). The new current point is (x3 , y3 ).

So I have to calculate the control points for the curve. I suspect the
algorithm I am using for this ("borrowed" from
http://www.tinaja.com/glib/bezcirc2.pdf) is breaking down when a very small
arc actually describes a straight line.

As this is a maths problem it may take a while for me to sort out, but if a
proper mathematician can give me an algorithm to create a bezier from the arcn
parameters I can pinch code from grops. :-)



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