The arrow and the dot change by one rule along the rows and by another rule down the columns. Which figure is missing?

Along each row the arrow turns $90^{\circ }$ anticlockwise (up, left, down in the top row) and the dot stays put. Down each column the dot moves one corner clockwise (top-left, top-right, bottom-right) and the arrow turns $90^{\circ }$ clockwise. In the bottom row the arrow goes down, right, then up, and the dot stays in the bottom-right corner: (a). (b) moves the dot again, (c) does not turn the arrow from its left neighbour and (d) turns it the wrong way.