def test_extreme_n():
x = PreorderedSet(l + str(i)
for l in "wxyz"
for i in range(3))
for a, b in choose2(x.elements):
x.learn(a, b, Relation.cmp(a[0], b[0]))
assert (x.maxes() == x.extreme(2) == x.extreme(3) ==
{"z0", "z1", "z2"})
assert (x.extreme(4) == x.extreme(5) == x.extreme(6) ==
{"z0", "z1", "z2", "y0", "y1", "y2"})
def xb(n):
return x.extreme(n, bottom = True)
assert (x.mins() == xb(2) == xb(3) ==
{"w0", "w1", "w2"})
assert (xb(4) == xb(5) == xb(6) ==
{"w0", "w1", "w2", "x0", "x1", "x2"})
def test_extrema():
x = PreorderedSet(range(4))
x.learn(0, 1, LT)
x.learn(1, 2, LT)
assert x.mins() == x.maxes() == set()
x.learn(2, 3, EQ)
assert x.mins() == {0}
assert x.maxes() == {2, 3}
assert x.maxes(among = {0, 1, 3}) == {3}
assert x.extreme(n = 2) == {2, 3}
assert x.extreme(n = 3) == {1, 2, 3}