from sympy.strategies.tree import treeapply, greedy, allresults, brute
from functools import partial, reduce


def inc(x):
    return x + 1


def dec(x):
    return x - 1


def double(x):
    return 2 * x


def square(x):
    return x**2


def add(*args):
    return sum(args)


def mul(*args):
    return reduce(lambda a, b: a * b, args, 1)


def test_treeapply():
    tree = ([3, 3], [4, 1], 2)
    assert treeapply(tree, {list: min, tuple: max}) == 3
    assert treeapply(tree, {list: add, tuple: mul}) == 60


def test_treeapply_leaf():
    assert treeapply(3, {}, leaf=lambda x: x**2) == 9
    tree = ([3, 3], [4, 1], 2)
    treep1 = ([4, 4], [5, 2], 3)
    assert treeapply(tree, {list: min, tuple: max}, leaf=lambda x: x + 1) == \
           treeapply(treep1, {list: min, tuple: max})


def test_treeapply_strategies():
    from sympy.strategies import chain, minimize
    join = {list: chain, tuple: minimize}

    assert treeapply(inc, join) == inc
    assert treeapply((inc, dec), join)(5) == minimize(inc, dec)(5)
    assert treeapply([inc, dec], join)(5) == chain(inc, dec)(5)
    tree = (inc, [dec, double])  # either inc or dec-then-double
    assert treeapply(tree, join)(5) == 6
    assert treeapply(tree, join)(1) == 0

    maximize = partial(minimize, objective=lambda x: -x)
    join = {list: chain, tuple: maximize}
    fn = treeapply(tree, join)
    assert fn(4) == 6  # highest value comes from the dec then double
    assert fn(1) == 2  # highest value comes from the inc


def test_greedy():
    tree = [inc, (dec, double)]  # either inc or dec-then-double

    fn = greedy(tree, objective=lambda x: -x)
    assert fn(4) == 6  # highest value comes from the dec then double
    assert fn(1) == 2  # highest value comes from the inc

    tree = [inc, dec, [inc, dec, [(inc, inc), (dec, dec)]]]
    lowest = greedy(tree)
    assert lowest(10) == 8

    highest = greedy(tree, objective=lambda x: -x)
    assert highest(10) == 12


def test_allresults():
    # square = lambda x: x**2

    assert set(allresults(inc)(3)) == {inc(3)}
    assert set(allresults([inc, dec])(3)) == {2, 4}
    assert set(allresults((inc, dec))(3)) == {3}
    assert set(allresults([inc, (dec, double)])(4)) == {5, 6}


def test_brute():
    tree = ([inc, dec], square)
    fn = brute(tree, lambda x: -x)

    assert fn(2) == (2 + 1)**2
    assert fn(-2) == (-2 - 1)**2

    assert brute(inc)(1) == 2