Java: Matrix rotation in 2D not working?

All that I can think of is that there might be a rounding error resulting from a discrepancy in the sizes of the three terms that you're adding to get each xi and to get each yi . My instinct would be to add in the translation term last, so that a sizable translation doesn't cause loss of significance in the terms that result from rotation. This just requires you removing some of your parentheses, so that the standard left-to-right order of operations kicks in.

In other words, in the method for calculating the X values, write.

The problem is in the computation of transformedi in both cases: for X it should be.

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