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from sympy import Integer, S, Symbol, symbols, Expr
from sympy.core.operations import AssocOp, LatticeOp
from sympy.testing.pytest import raises
from sympy.core.sympify import SympifyError
from sympy.core.add import Add, add
from sympy.core.mul import Mul, mul

# create the simplest possible Lattice class


class join(LatticeOp):
    zero = Integer(0)
    identity = Integer(1)


def test_lattice_simple():
    assert join(join(2, 3), 4) == join(2, join(3, 4))
    assert join(2, 3) == join(3, 2)
    assert join(0, 2) == 0
    assert join(1, 2) == 2
    assert join(2, 2) == 2

    assert join(join(2, 3), 4) == join(2, 3, 4)
    assert join() == 1
    assert join(4) == 4
    assert join(1, 4, 2, 3, 1, 3, 2) == join(2, 3, 4)


def test_lattice_shortcircuit():
    raises(SympifyError, lambda: join(object))
    assert join(0, object) == 0


def test_lattice_print():
    assert str(join(5, 4, 3, 2)) == 'join(2, 3, 4, 5)'


def test_lattice_make_args():
    assert join.make_args(join(2, 3, 4)) == {S(2), S(3), S(4)}
    assert join.make_args(0) == {0}
    assert list(join.make_args(0))[0] is S.Zero
    assert Add.make_args(0)[0] is S.Zero


def test_issue_14025():
    a, b, c, d = symbols('a,b,c,d', commutative=False)
    assert Mul(a, b, c).has(c*b) == False
    assert Mul(a, b, c).has(b*c) == True
    assert Mul(a, b, c, d).has(b*c*d) == True


def test_AssocOp_flatten():
    a, b, c, d = symbols('a,b,c,d')

    class MyAssoc(AssocOp):
        identity = S.One

    assert MyAssoc(a, MyAssoc(b, c)).args == \
        MyAssoc(MyAssoc(a, b), c).args == \
        MyAssoc(MyAssoc(a, b, c)).args == \
        MyAssoc(a, b, c).args == \
            (a, b, c)
    u = MyAssoc(b, c)
    v = MyAssoc(u, d, evaluate=False)
    assert v.args == (u, d)
    # like Add, any unevaluated outer call will flatten inner args
    assert MyAssoc(a, v).args == (a, b, c, d)


def test_add_dispatcher():

    class NewBase(Expr):
        @property
        def _add_handler(self):
            return NewAdd
    class NewAdd(NewBase, Add):
        pass
    add.register_handlerclass((Add, NewAdd), NewAdd)

    a, b = Symbol('a'), NewBase()

    # Add called as fallback
    assert add(1, 2) == Add(1, 2)
    assert add(a, a) == Add(a, a)

    # selection by registered priority
    assert add(a,b,a) == NewAdd(2*a, b)


def test_mul_dispatcher():

    class NewBase(Expr):
        @property
        def _mul_handler(self):
            return NewMul
    class NewMul(NewBase, Mul):
        pass
    mul.register_handlerclass((Mul, NewMul), NewMul)

    a, b = Symbol('a'), NewBase()

    # Mul called as fallback
    assert mul(1, 2) == Mul(1, 2)
    assert mul(a, a) == Mul(a, a)

    # selection by registered priority
    assert mul(a,b,a) == NewMul(a**2, b)