You can turn the r moves into Rw moves, however it isn't a pure oll parity alg like the r move alg. (The Rw alg flips the front edge and twists the front left corner counter clockwise and the right corner clockwise, and also does a pure F perm with the bar at the back.) Also in the r move alg you have to add U2 R' L U2 at the end otherwise it messes up F2L.
Also you can memorize it like this: Rw U2 is what I call right up, Rw' U2 is what I call right down, Lw' U2 is what I call left up, and Lw U2 is what I call left down. So you start with doing right up, then you do an x rotation and then do right up twice, then you do right down followed by left down, then you do right down followed by right up, then right down twice. You can simplify this down to "right up, face down, right up twice, right down, left down, right down, right up, right down twice.)