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Re: [Lilypond-auto] Issue 4470 in lilypond: freetype.cc: solve algebra p
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lilypond |
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Subject: |
Re: [Lilypond-auto] Issue 4470 in lilypond: freetype.cc: solve algebra puzzle for converting quadratics to cubics |
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Date: |
Tue, 30 Jun 2015 14:28:10 +0000 |
Updates:
Labels: -Patch-new Patch-review
Comment #1 on issue 4470 by address@hidden: freetype.cc: solve algebra puzzle
for converting quadratics to cubics
https://code.google.com/p/lilypond/issues/detail?id=4470
Passes all tests. I don't know whether this actually exercises the code in
question, though.
However, I first found this formula on Stackexchange when looking for it,
and right now I derived it from first principles via Emacs Calc (a symbolic
calculator). And it agrees:
[ [ x0 = y0 ]
[ x1 = 2:3 y1 + y0 / 3 ]
[ x2 = y2 / 3 + 2:3 y1 ]
[ x3 = y2 ] ]
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