My Logitech Trackman mouse (M570)'s wheel has forward, backward, right, left and click (press down to get a "wheel clip"). I think there are keyboards with nubs positioned centrally within the keys which also do left, right, forward & backward). I'm not sure how track pads present but they also do (at a bare minimum) before Cardinal directions.
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-Edgar
DPI 15.3, 64-bit Windows 10 Pro, OpenOffice & Office 365, Norton Security, Shure X2U XLR to USB mic adapter with Audio Technica DB135 vocal mic, Asus X299-Deluxe Prime, Intel Core i9-7940X (14 core, 4.3 GHz overclocked to 4.9 GHz), G.SKILL TridentZ Series 64GB (4 x 16GB) DDR4 3333 (PC4 26600) F4-3333C16Q-64GTZ, NVIDIA GIGABYTE GeForce GTX 1060 GV-N1060G1 GAMING-6GD REV 2.0 6GB graphics card with 3 1920x1080 monitors