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You want to make it so that 'bottom' resolves into the next tile when there is a small increase in _pos.Y, the same goes for 'right' and _pos.X. This will also fix the edge case when you're exactly aligned within a tile ie. 'top' and 'bottom' will be within the same tile in that case.
So to calculate the left, right, top and bottom, do something like the ...
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