Rotating JPG Images Without Losing Data?

Another voiciferous Anonymous Coward asks: "Is there a such thing as a loss-less JPEG rotator? I want to rotate 90 degrees w/o the decompress recompress cycle which chews up jpegs. Supposedly there are some for windows, but I haven't found any for Linux. The GIMP opens and resaves and from what I can tell so does ImageMagik."