Get the combination of two python functions

Question

I'm writing a game based on a grid pattern where the player can move in all directions. The diagonal directions can be represented as two consecutive moves in a straight direction, e.g. the direction up-left is first up and then left. How could I then return a function that first executes the up-move and then the left-move on the result? Snippet of my current tile class:

class Tile():
    def __init__(self,row,col):
        self.row,self.col = row,col

    def up(self):
        return Tile(self.row+1,self.col)
    def down(self):
        return Tile(self.row-1,self.col)
    def left(self):
        return Tile(self.row,self.col-1)
    def right(self):
        return Tile(self.row,self.col+1)

and I have a method that returns all these functions:

def directions():
    return [Tile.up,Tile.down,Tile.left,Tile.right]

How do I also add the diagonal functions to this list? I want to return the combined function, something along the lines of return Tile.up(Tile.left)

Thank you!

Answer 1

Seems like lambda x : Tile.up(Tile.left(x)) worked, so just wanted to leave an explanation here. By using lambda x : Tile.up(Tile.left(x)) you create an anonymous function on one line. And then you can easily add this function to your list.

def directions():
    return [Tile.up,Tile.down,Tile.left,Tile.right, lambda x : Tile.up(Tile.left(x))]