On Fri, 5 Nov 2021 04:41:34 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 some of Laurent's code review recommendations/comments:
>   
>   1. use the convention t for the parametric variable x(t),y(t)
>   2. solve the quadratic equation using QuadCurve2d.solveQuadratic() or like 
> Helpers.quadraticRoots()
>   3. always use braces for x = (a < b) ? ...
>   4. always use double-precision constants in math or logical operations: (2 
> * x => 2.0 * x) and (coefficients[3] != 0) => (coefficients[3] != 0.0)
>   
>   (There are two additional recommendations not in this commit that I'll ask 
> about shortly.)
>   
>   See https://github.com/openjdk/jdk/pull/6227#issuecomment-959757954

For math reference, this page explains how to use curve derivatives to find 
extrema:
https://pomax.github.io/bezierinfo/#extremities

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

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

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