The InvertedSymmetricalLogTransform was incorrect (used for "symlog" plots). There are two problems with the existing code: first, linthresh must be transformed to the target space. It is linear, but not equal to +/- linthresh in the original space. I introduced a new class member invlinthresh for the inverted linear threshold. Second, there is a parenthesis missing in the inverted formula.
This transform is likely unused by anyone, I needed it so I could add an image (imshow) to a symlog plot. Since imshow only works with linear axes, I added a second axes with twiny() but needed to be able to create a new image, appropriately scaled logarithmically. Thus, the correct inverse transform was needed so I could compute coordinates for the new linear axis.
I hope the problem and the fix are sufficiently obvious. If not I can provide a worksheet that demonstrates the problem.
Fix invalid transformation in InvertedSymmetricalLogTransform.