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Previously, applyPaintTransform() had to know how it was positioned in its parent, even though that's really the parent's responsibility. Now, applyPaintTransform() is given a child and applies the transform that it would give the child during paint. This makes it possible for applyPaintTransform() to work across coordinate system boundaries (e.g. box to sector, or view to box -- previously, view to box only worked because we explicitly skipped that step -- since view doesn't actually apply a transform, it doesn't really matter).
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