RFR: 8176501: Method Shape.getBounds2D() incorrectly includes Bezier pts

[Laurent Bourgès]

On Wed, 3 Nov 2021 07:27:03 GMT, Jeremy <duke at openjdk.java.net> wrote:

> This removes code that relied on consulting the Bezier control points to calculate the Rectangle2D bounding box. Instead it's pretty straight-forward to convert the Bezier control points into the x & y parametric equations. At their most complex these equations are cubic polynomials, so calculating their extrema is just a matter of applying the quadratic formula to calculate their extrema. (Or in path segments that are quadratic/linear/constant: we do even less work.)
> 
> The bug writeup indicated they wanted Path2D#getBounds2D() to be more accurate/concise. They didn't explicitly say they wanted CubicCurve2D and QuadCurve2D to become more accurate too. But a preexisting unit test failed when Path2D#getBounds2D() was updated and those other classes weren't. At this point I considered either:
> A. Updating CubicCurve2D and QuadCurve2D to use the new more accurate getBounds2D() or
> B. Updating the unit test to forgive the discrepancy.
> 
> I chose A. Which might technically be seen as scope creep, but it feels like a more holistic/better approach.
> 
> Other shapes in java.awt.geom should not require updating, because they already identify concise bounds.
> 
> This also includes a new unit test (in Path2D/UnitTest.java) that fails without the changes in this commit.

I will have a look at your maths. 
I improved cubic/quad extrema solver in the marlin renderer (curve monotonizer) and may propose few optimizations.

-------------

PR: https://git.openjdk.java.net/jdk/pull/6227