On Tue, 9 Nov 2021 10:03:14 GMT, Jeremy <d...@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.
>
> Jeremy has updated the pull request incrementally with one additional commit 
> since the last revision:
> 
>   8176501: Method Shape.getBounds2D() incorrectly includes Bezier control 
> points in bounding box
>   
>   Addressing code review recommendation to calculate polynomial coefficients 
> using differences / vector notation.
>   
>   https://github.com/openjdk/jdk/pull/6227#discussion_r743534560
>   
>   I generally understand the intention of this change, but I don't know 
> exactly how to test/evaluate it.
>   
>   The unit tests still pass. I ran some sample calculations involving a 
> 100x100 Ellipse2D as it was rotated, and the two getBounds2D(..) 
> implementations (before and after this commit) only differed by a few ulps 
> (usually around 10^-15), as expected.

Great !
I see many duplicated lines, probably it is time to add 2 small methods to 
processCubic() and processQuad() that can be called on x and y equations => 
only 2 arrays needed for coeff and deriv_coeff. 
Maybe I prefer the previous unified solution relying on 
QuadCurve2D.solveQuadratic() that handles both case.

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

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

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