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from collections import defaultdict from sympy import Matrix, Tuple, symbols, sympify, Basic, Dict, S, FiniteSet, Integer from sympy.core.compatibility import is_sequence, iterable from sympy.core.containers import tuple_wrapper from sympy.core.expr import unchanged from sympy.core.function import Function, Lambda from sympy.core.relational import Eq from sympy.testing.pytest import raises from sympy.abc import x, y def test_Tuple(): t = (1, 2, 3, 4) st = Tuple(*t) assert set(sympify(t)) == set(st) assert len(t) == len(st) assert set(sympify(t[:2])) == set(st[:2]) assert isinstance(st[:], Tuple) assert st == Tuple(1, 2, 3, 4) assert st.func(*st.args) == st p, q, r, s = symbols('p q r s') t2 = (p, q, r, s) st2 = Tuple(*t2) assert st2.atoms() == set(t2) assert st == st2.subs({p: 1, q: 2, r: 3, s: 4}) # issue 5505 assert all(isinstance(arg, Basic) for arg in st.args) assert Tuple(p, 1).subs(p, 0) == Tuple(0, 1) assert Tuple(p, Tuple(p, 1)).subs(p, 0) == Tuple(0, Tuple(0, 1)) assert Tuple(t2) == Tuple(Tuple(*t2)) assert Tuple.fromiter(t2) == Tuple(*t2) assert Tuple.fromiter(x for x in range(4)) == Tuple(0, 1, 2, 3) assert st2.fromiter(st2.args) == st2 def test_Tuple_contains(): t1, t2 = Tuple(1), Tuple(2) assert t1 in Tuple(1, 2, 3, t1, Tuple(t2)) assert t2 not in Tuple(1, 2, 3, t1, Tuple(t2)) def test_Tuple_concatenation(): assert Tuple(1, 2) + Tuple(3, 4) == Tuple(1, 2, 3, 4) assert (1, 2) + Tuple(3, 4) == Tuple(1, 2, 3, 4) assert Tuple(1, 2) + (3, 4) == Tuple(1, 2, 3, 4) raises(TypeError, lambda: Tuple(1, 2) + 3) raises(TypeError, lambda: 1 + Tuple(2, 3)) #the Tuple case in __radd__ is only reached when a subclass is involved class Tuple2(Tuple): def __radd__(self, other): return Tuple.__radd__(self, other + other) assert Tuple(1, 2) + Tuple2(3, 4) == Tuple(1, 2, 1, 2, 3, 4) assert Tuple2(1, 2) + Tuple(3, 4) == Tuple(1, 2, 3, 4) def test_Tuple_equality(): assert not isinstance(Tuple(1, 2), tuple) assert (Tuple(1, 2) == (1, 2)) is True assert (Tuple(1, 2) != (1, 2)) is False assert (Tuple(1, 2) == (1, 3)) is False assert (Tuple(1, 2) != (1, 3)) is True assert (Tuple(1, 2) == Tuple(1, 2)) is True assert (Tuple(1, 2) != Tuple(1, 2)) is False assert (Tuple(1, 2) == Tuple(1, 3)) is False assert (Tuple(1, 2) != Tuple(1, 3)) is True def test_Tuple_Eq(): assert Eq(Tuple(), Tuple()) is S.true assert Eq(Tuple(1), 1) is S.false assert Eq(Tuple(1, 2), Tuple(1)) is S.false assert Eq(Tuple(1), Tuple(1)) is S.true assert Eq(Tuple(1, 2), Tuple(1, 3)) is S.false assert Eq(Tuple(1, 2), Tuple(1, 2)) is S.true assert unchanged(Eq, Tuple(1, x), Tuple(1, 2)) assert Eq(Tuple(1, x), Tuple(1, 2)).subs(x, 2) is S.true assert unchanged(Eq, Tuple(1, 2), x) f = Function('f') assert unchanged(Eq, Tuple(1), f(x)) assert Eq(Tuple(1), f(x)).subs(x, 1).subs(f, Lambda(y, (y,))) is S.true def test_Tuple_comparision(): assert (Tuple(1, 3) >= Tuple(-10, 30)) is S.true assert (Tuple(1, 3) <= Tuple(-10, 30)) is S.false assert (Tuple(1, 3) >= Tuple(1, 3)) is S.true assert (Tuple(1, 3) <= Tuple(1, 3)) is S.true def test_Tuple_tuple_count(): assert Tuple(0, 1, 2, 3).tuple_count(4) == 0 assert Tuple(0, 4, 1, 2, 3).tuple_count(4) == 1 assert Tuple(0, 4, 1, 4, 2, 3).tuple_count(4) == 2 assert Tuple(0, 4, 1, 4, 2, 4, 3).tuple_count(4) == 3 def test_Tuple_index(): assert Tuple(4, 0, 1, 2, 3).index(4) == 0 assert Tuple(0, 4, 1, 2, 3).index(4) == 1 assert Tuple(0, 1, 4, 2, 3).index(4) == 2 assert Tuple(0, 1, 2, 4, 3).index(4) == 3 assert Tuple(0, 1, 2, 3, 4).index(4) == 4 raises(ValueError, lambda: Tuple(0, 1, 2, 3).index(4)) raises(ValueError, lambda: Tuple(4, 0, 1, 2, 3).index(4, 1)) raises(ValueError, lambda: Tuple(0, 1, 2, 3, 4).index(4, 1, 4)) def test_Tuple_mul(): assert Tuple(1, 2, 3)*2 == Tuple(1, 2, 3, 1, 2, 3) assert 2*Tuple(1, 2, 3) == Tuple(1, 2, 3, 1, 2, 3) assert Tuple(1, 2, 3)*Integer(2) == Tuple(1, 2, 3, 1, 2, 3) assert Integer(2)*Tuple(1, 2, 3) == Tuple(1, 2, 3, 1, 2, 3) raises(TypeError, lambda: Tuple(1, 2, 3)*S.Half) raises(TypeError, lambda: S.Half*Tuple(1, 2, 3)) def test_tuple_wrapper(): @tuple_wrapper def wrap_tuples_and_return(*t): return t p = symbols('p') assert wrap_tuples_and_return(p, 1) == (p, 1) assert wrap_tuples_and_return((p, 1)) == (Tuple(p, 1),) assert wrap_tuples_and_return(1, (p, 2), 3) == (1, Tuple(p, 2), 3) def test_iterable_is_sequence(): ordered = [list(), tuple(), Tuple(), Matrix([[]])] unordered = [set()] not_sympy_iterable = [{}, '', ''] assert all(is_sequence(i) for i in ordered) assert all(not is_sequence(i) for i in unordered) assert all(iterable(i) for i in ordered + unordered) assert all(not iterable(i) for i in not_sympy_iterable) assert all(iterable(i, exclude=None) for i in not_sympy_iterable) def test_Dict(): x, y, z = symbols('x y z') d = Dict({x: 1, y: 2, z: 3}) assert d[x] == 1 assert d[y] == 2 raises(KeyError, lambda: d[2]) raises(KeyError, lambda: d['2']) assert len(d) == 3 assert set(d.keys()) == {x, y, z} assert set(d.values()) == {S.One, S(2), S(3)} assert d.get(5, 'default') == 'default' assert d.get('5', 'default') == 'default' assert x in d and z in d and not 5 in d and not '5' in d assert d.has(x) and d.has(1) # SymPy Basic .has method # Test input types # input - a python dict # input - items as args - SymPy style assert (Dict({x: 1, y: 2, z: 3}) == Dict((x, 1), (y, 2), (z, 3))) raises(TypeError, lambda: Dict(((x, 1), (y, 2), (z, 3)))) with raises(NotImplementedError): d[5] = 6 # assert immutability assert set( d.items()) == {Tuple(x, S.One), Tuple(y, S(2)), Tuple(z, S(3))} assert set(d) == {x, y, z} assert str(d) == '{x: 1, y: 2, z: 3}' assert d.__repr__() == '{x: 1, y: 2, z: 3}' # Test creating a Dict from a Dict. d = Dict({x: 1, y: 2, z: 3}) assert d == Dict(d) # Test for supporting defaultdict d = defaultdict(int) assert d[x] == 0 assert d[y] == 0 assert d[z] == 0 assert Dict(d) d = Dict(d) assert len(d) == 3 assert set(d.keys()) == {x, y, z} assert set(d.values()) == {S.Zero, S.Zero, S.Zero} def test_issue_5788(): args = [(1, 2), (2, 1)] for o in [Dict, Tuple, FiniteSet]: # __eq__ and arg handling if o != Tuple: assert o(*args) == o(*reversed(args)) pair = [o(*args), o(*reversed(args))] assert sorted(pair) == sorted(reversed(pair)) assert set(o(*args)) # doesn't fail