Applying a bivariate function to a list of couples

edit

Two possibilities (among others I suppose...) :

sage: [F(u[0], u[1]) for u in L2]
[0, -3, -6, -9, -2, 1, 1, -2, -8, -1, 2, 5, -18, -7, 0, 3]

You can pass a list (or other iterable) of arguments via indirection :

sage: [F(*u) for u in L2]
[0, -3, -6, -9, -2, 1, 1, -2, -8, -1, 2, 5, -18, -7, 0, 3]

or equivalently (see map?) :

sage: list(map(lambda u:F(*u), L2))
[0, -3, -6, -9, -2, 1, 1, -2, -8, -1, 2, 5, -18, -7, 0, 3]`

Building `L2 isn't necessary :

sage: [F(*u) for u in Set(L0).cartesian_product(Set(L1))]
[0, -2, -8, -18, -3, 1, -1, -7, -6, 1, 2, 0, -9, -2, 5, 3]

I suppose that the itertools standard Pythonlibrary offers other possibilities...

Personally, I'd dispense with L2 and would simply do :

sage: table([[F(u, v) for v in L1] for u in L0], header_column=["F"]+L0, header_row=L1)
  F | 0    1    2    3
+---+----+----+----+-----+
  0 | 0    -2   -8   -18
  1 | -3   1    -1   -7
  2 | -6   1    2    0
  3 | -9   -2   5    3

Learn Python !

HTH,