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tests.py
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import math
import unittest
from hask import H, sig, t, func, TypeSignatureError
from hask import p, m, caseof, IncompletePatternError
from hask import has_instance
from hask import guard, c, otherwise, NoGuardMatchException
from hask import __
from hask import data, d, deriving, instance
from hask import L
from hask import Ordering, LT, EQ, GT
from hask import Maybe, Just, Nothing, in_maybe
from hask import Either, Left, Right, in_either
from hask import Typeclass
from hask import Read, Show, Eq, Ord, Bounded, Num
from hask import Functor, Applicative, Monad
from hask import Foldable, Traversable
# internals
from hask.lang.type_system import make_fn_type
from hask.lang.type_system import build_sig_arg
from hask.lang.type_system import build_sig
from hask.lang.type_system import build_ADT
from hask.lang.type_system import typeof
from hask.lang.type_system import pattern_match
from hask.lang.type_system import PatternMatchBind
from hask.lang.hindley_milner import Var
from hask.lang.hindley_milner import App
from hask.lang.hindley_milner import Lam
from hask.lang.hindley_milner import Let
from hask.lang.hindley_milner import TypeVariable
from hask.lang.hindley_milner import TypeOperator
from hask.lang.hindley_milner import Function
from hask.lang.hindley_milner import Tuple
from hask.lang.hindley_milner import analyze
from hask.lang.hindley_milner import unify
from hask.lang.lazylist import List
te = TypeError
se = SyntaxError
ve = ValueError
class TestHindleyMilner(unittest.TestCase):
"""Test the internals of the Hindley-Milner type inference engine"""
def inference(self, expr):
"""Type inference succeeded using our toy environment"""
self.assertIsNotNone(analyze(expr, self.env))
return
def not_inference(self, expr):
"""Type inference failed using our toy environment"""
with self.assertRaises(te):
analyze(expr, self.env)
return
def unified(self, t1, t2):
"""Two types are able to be unified"""
self.assertIsNone(unify(t1, t2))
return
def typecheck(self, expr, expr_type):
"""Typecheck succeeded using our toy environment"""
self.assertIsNone(unify(analyze(expr, self.env), expr_type))
return
def not_typecheck(self, expr, expr_type):
"""Typecheck failed, but inference succeeded using our toy environment
"""
self.inference(expr)
with self.assertRaises(te):
self.typecheck(expr, expr_type)
return
def setUp(self):
"""Create some basic types and polymorphic typevars, a toy environment,
and some AST nodes
"""
self.var1 = TypeVariable()
self.var2 = TypeVariable()
self.var3 = TypeVariable()
self.var4 = TypeVariable()
self.Pair = TypeOperator("*", (self.var1, self.var2))
self.Bool = TypeOperator("bool", [])
self.Integer = TypeOperator("int", [])
self.NoneT = TypeOperator("None", [])
# toy environment
self.env = {"pair": Function(self.var1,
Function(self.var2, self.Pair)),
"True": self.Bool,
"None": self.NoneT,
"id": Function(self.var4, self.var4),
"cond": Function(self.Bool, Function(self.var3,
Function(self.var3, self.var3))),
"zero": Function(self.Integer, self.Bool),
"pred": Function(self.Integer, self.Integer),
"times": Function(self.Integer,
Function(self.Integer, self.Integer)),
"4": self.Integer,
"1": self.Integer}
# some expressions to play around with
self.compose = Lam("f", Lam("g", Lam("arg",
App(Var("g"), App(Var("f"), Var("arg"))))))
self.pair = App(App(Var("pair"),
App(Var("f"), Var("1"))),
App(Var("f"), Var("True")))
def test_type_inference(self):
"""Basic type inference in our toy environment"""
# (* True) ==> TypeError
self.not_inference(App(Var("times"), Var("True")))
# (* True) ==> TypeError (undefined symbol a)
self.not_inference(App(Var("times"), Var("a")))
# monomorphism restriction
# \x -> ((x 4), (x True)) ==> TypeError
self.not_inference(
Lam("x",
App(
App(Var("pair"),
App(Var("x"), Var("4"))),
App(Var("x"), Var("True")))))
# \x -> ((f 4), (f True)) ==> TypeError (undefined symbol f)
self.not_inference(
App(
App(Var("pair"), App(Var("f"), Var("4"))),
App(Var("f"), Var("True"))))
# \f -> (f f) ==> TypeError (recursive unification)
self.not_inference(Lam("f", App(Var("f"), Var("f"))))
def test_type_checking(self):
"""Basic type checking in our toy environment"""
# 1 :: Integer
self.typecheck(Var("1"), self.Integer)
# 1 :: Bool ==> TypeError
self.not_typecheck(Var("1"), self.Bool)
# (\x -> x) :: (a -> a)
v = TypeVariable()
self.typecheck(
Lam("n", Var("n")),
Function(v, v))
# type(id) == type(\x -> x)
self.typecheck(
Lam("n", Var("n")),
self.env["id"])
# (\x -> x) :: (a -> b)
self.typecheck(
Lam("n", Var("n")),
Function(TypeVariable(), TypeVariable()))
# (id 1) :: Integer
self.typecheck(App(Var("id"), Var("1")), self.Integer)
# (id 1) :: Bool ==> TypeError
self.not_typecheck(App(Var("id"), Var("1")), self.Bool)
# pred :: (Integer -> Integer)
self.typecheck(Var("pred"), Function(self.Integer, self.Integer))
# (pred 4) :: Integer
self.typecheck(
App(Var("pred"), Var("1")),
self.Integer)
# ((pair 1) 4) :: (a, b)
self.typecheck(
App(App(Var("pair"), Var("1")), Var("4")),
TypeOperator("*", [TypeVariable(), TypeVariable()]))
# (*) :: (Integer -> Integer -> Integer)
self.typecheck(
Var("times"),
Function(self.Integer, Function(self.Integer, self.Integer)))
# (* 4) :: (Integer -> Integer)
self.typecheck(
App(Var("times"), Var("4")),
Function(self.Integer, self.Integer))
# (* 4) :: (Bool -> Integer) ==> TypeError
self.not_typecheck(
App(Var("times"), Var("4")),
Function(self.Bool, self.Integer))
# (* 4) :: (Integer -> a) ==> TypeError
self.not_typecheck(
App(Var("times"), Var("4")),
Function(self.Integer, TypeVariable))
# ((* 1) 4) :: Integer
self.typecheck(
App(App(Var("times"), Var("1")), Var("4")),
self.Integer)
# ((* 1) 4) :: Bool ==> TypeError
self.not_typecheck(
App(App(Var("times"), Var("1")), Var("4")),
self.Bool)
# let g = (\f -> 5) in (g g) :: Integer
self.typecheck(
Let("g",
Lam("f", Var("4")),
App(Var("g"), Var("g"))),
self.Integer)
# (.) :: (a -> b) -> (b -> c) -> (a -> c)
a, b, c = TypeVariable(), TypeVariable(), TypeVariable()
self.typecheck(
self.compose,
Function(Function(a, b),
Function(Function(b, c), Function(a, c))))
# composing `id` with `id` == `id`
# ((. id) id) :: (a -> a)
d = TypeVariable()
self.typecheck(
App(App(self.compose, Var("id")), Var("id")),
Function(d, d))
# composing `id` with `times 4`
# ((. id) (* 2)) :: (int -> int)
self.typecheck(
App(App(self.compose, Var("id")),
App(Var("times"), Var("4"))),
Function(self.Integer, self.Integer))
# composing `times 4` with `id`
# ((. (* 2)) id) :: (int -> int)
self.typecheck(
App(App(self.compose, App(Var("times"), Var("4"))),
Var("id")),
Function(self.Integer, self.Integer))
# basic closure
#((\x -> (\y -> ((* x) y))) 1) :: (Integer -> Integer)
self.typecheck(
App(
Lam("x", Lam("y",
App(App(Var("times"), Var("x")), Var("y")))),
Var("1")),
Function(self.Integer, self.Integer))
# lambdas have lexical scope
# (((\x -> (\x -> x)) True) None) :: NoneT
self.typecheck(
App(App(
Lam("x", Lam("x", Var("x"))),
Var("True")), Var("None")),
self.NoneT)
# basic let expression
# let a = times in ((a 1) 4) :: Integer
self.typecheck(
Let("a", Var("times"), App(App(Var("a"), Var("1")), Var("4"))),
self.Integer)
# let has lexical scope
# let a = 1 in (let a = None in a) :: NoneT
self.typecheck(
Let("a", Var("1"), Let("a", Var("None"), Var("a"))),
self.NoneT)
# let polymorphism
# let f = (\x -> x) in ((f 4), (f True)) :: (Integer, Bool)
self.typecheck(
Let("f", Lam("x", Var("x")), self.pair),
TypeOperator("*", [self.Integer, self.Bool]))
# recursive let
# (factorial 4) :: Integer
self.typecheck(
Let("factorial", # letrec factorial =
Lam("n", # fn n =>
App(
App( # cond (zero n) 1
App(Var("cond"), # cond (zero n)
App(Var("zero"), Var("n"))),
Var("1")),
App( # times n
App(Var("times"), Var("n")),
App(Var("factorial"),
App(Var("pred"), Var("n")))
)
)
), # in
App(Var("factorial"), Var("4"))),
self.Integer)
def test_build_sig_item(self):
"""Test type signature building internals - make sure that types are
translated in a reasonable way"""
class example(object):
pass
# type variables
self.assertTrue(isinstance(build_sig_arg("a", {}, {}), TypeVariable))
self.assertTrue(isinstance(build_sig_arg("abc", {}, {}), TypeVariable))
# builtin/non-ADT types
self.unified(build_sig_arg(str, {}, {}), TypeOperator(str, []))
self.unified(build_sig_arg(int, {}, {}), TypeOperator(int, []))
self.unified(build_sig_arg(float, {}, {}), TypeOperator(float, []))
self.unified(build_sig_arg(list, {}, {}), TypeOperator(list, []))
self.unified(build_sig_arg(set, {}, {}), TypeOperator(set, []))
self.unified(build_sig_arg(example, {}, {}), TypeOperator(example, []))
# unit type (None)
self.unified(build_sig_arg(None, {}, {}), TypeOperator(None, []))
# tuple
self.unified(
build_sig_arg((int, int), {}, {}),
Tuple([TypeOperator(int, []), TypeOperator(int, [])]))
self.unified(
build_sig_arg((None, (None, int)), {}, {}),
Tuple([TypeOperator(None, []),
Tuple([TypeOperator(None, []), TypeOperator(int, [])])]))
a = TypeVariable()
self.unified(
build_sig_arg(("a", "a", "a"), {}, {}),
Tuple([a, a, a]))
# list
self.unified(typeof(L[[]]), build_sig_arg(["a"], {}, {}))
self.unified(typeof(L[1, 1]), build_sig_arg([int], {}, {}))
self.unified(typeof(L[[L[1, 1]]]), build_sig_arg([[int]], {}, {}))
# adts
self.unified(typeof(Nothing), build_sig_arg(t(Maybe, "a"), {}, {}))
self.unified(typeof(Just(1)), build_sig_arg(t(Maybe, int), {}, {}))
self.unified(
typeof(Just(Just(Nothing))),
build_sig_arg(t(Maybe, t(Maybe, t(Maybe, "a"))), {}, {}))
self.unified(
typeof(Right("error")),
build_sig_arg(t(Either, str, "a"), {}, {}))
self.unified(
typeof(Left(2.0)),
build_sig_arg(t(Either, "a", int), {}, {}))
self.unified(
typeof(Just(__+1)),
build_sig_arg(t(Maybe, "a"), {}, {}))
self.unified(
typeof(Just(__+1)),
build_sig_arg(t(Maybe, (H/ "a" >> "b")), {}, {}))
def test_signature_build(self):
"""Make sure type signatures are built correctly"""
# int -> int
self.unified(
make_fn_type(build_sig((H/ int >> int).sig)),
Function(TypeOperator(int, []), TypeOperator(int, [])))
# a -> a
a = TypeVariable()
self.unified(
make_fn_type(build_sig((H/ "a" >> "a").sig)),
Function(a, a))
# a -> b
a, b = TypeVariable(), TypeVariable()
self.unified(
make_fn_type(build_sig((H/ "a" >> "b").sig)),
Function(a, b))
# (int -> int) -> int -> int
self.unified(
make_fn_type(build_sig((H/ (H/ int >> int) >> int >> int).sig)),
Function(
Function(TypeOperator(int, []), TypeOperator(int, [])),
Function(TypeOperator(int, []), TypeOperator(int, []))))
def test_typecheck_builtins(self):
"""Make sure builtin types typecheck correctly"""
# 1 :: int
self.unified(typeof(1), TypeOperator(int, []))
# "a" :: str
self.unified(typeof("a"), TypeOperator(str, []))
# Nothing :: Maybe a
self.unified(
typeof(Nothing),
TypeOperator(Maybe, [TypeVariable()]))
# Just(1) :: Maybe int
self.unified(
typeof(Just(1)),
TypeOperator(Maybe, [TypeOperator(int, [])]))
# Just(Just(Nothing)) :: Maybe (Maybe (Maybe a))
self.unified(
typeof(Just(Just(Nothing))),
TypeOperator(Maybe,
[TypeOperator(Maybe,
[TypeOperator(Maybe, [TypeVariable()])])]))
# Right("error") :: Either a str
self.unified(
typeof(Right("error")),
TypeOperator(Either, [TypeVariable(),
TypeOperator(str, [])]))
# Left(2.0) :: Either float a
self.unified(
typeof(Left(2.0)),
TypeOperator(Either,
[TypeOperator(float, []), TypeVariable()]))
class TestTypeSystem(unittest.TestCase):
def test_TypedFunc_builtin(self):
"""TypedFunc with builtin types"""
f = (lambda x: x + 2) ** (H/ int >> int)
g = (lambda x: x - 5) ** (H/ int >> int)
h = (lambda x: x * 2) ** (H/ int >> int)
i = (lambda x: str(x)) ** (H/ int >> str)
j = (lambda x: x[0]) ** (H/ list >> float)
# basic type checking
self.assertEqual(2, f(g(5)))
self.assertEqual(2, (f * g)(5))
self.assertEqual(2, f * g % 5)
self.assertEqual(8, f * f * f % 2)
self.assertEqual(f(h(g(5))), (f * h * g)(5))
self.assertEqual((i * h * f)(9), "22")
self.assertEqual(1., j % [1., 2.])
with self.assertRaises(te): f(4.0)
with self.assertRaises(te): f("4")
with self.assertRaises(te): f(1, 2)
def test_TypedFunc_var(self):
@sig(H/ "a" >> "b" >> "a" >> "b")
def superconst(a, b, c):
return b
self.assertEqual(1, superconst([], 1, [1, 2]))
self.assertEqual(None, superconst([], None, [1, 2]))
with self.assertRaises(te): superconst(1, "a", 1.)
def test_TypedFunc_tuple(self):
@sig(H/ (int, "a", str) >> str)
def pprint(tup):
return str(tup[0]) + tup[2]
self.assertEqual("1a", pprint((1, 9., "a")))
with self.assertRaises(te): pprint((1, 2, 3))
with self.assertRaises(te): pprint(("1", 2, "3"))
with self.assertRaises(te): pprint((1, 2, 3, 4))
with self.assertRaises(te): pprint((1, 2))
@sig(H/ ("a", "b") >> ("b", "a"))
def swap(tup):
return (tup[1], tup[0])
self.assertEqual(swap((1, 2)), (2, 1))
self.assertEqual(swap((1., 2)), (2, 1.))
with self.assertRaises(te): swap((1, 2, 3))
def test_TypedFunc_list(self):
@sig(H/ [int] >> int)
def sum1(l):
return sum(l)
self.assertEqual(sum1 % L[1, 2, 3], 6)
with self.assertRaises(te): sum1 % L[1., 2., 3.]
@sig(H/ [["a"]] >> ["a"])
def flatten(xss):
return L[(x for xs in xss for x in xs)]
self.assertEqual(flatten(L[L["a", "b"], L["c", "d"]]),
L["a", "b", "c", "d"])
with self.assertRaises(te): flatten(L["a", "b"])
def test_TypedFunc_None(self):
@sig(H/ None >> None)
def n_to_n(n):
return
self.assertIsNone(None, n_to_n % None)
self.assertIsNone(None, n_to_n * n_to_n % None)
with self.assertRaises(te): n_to_n(1)
def test_TypedFunc_func(self):
"""PyFunc signature type"""
@sig(H/ func >> func)
def id_wrap(f):
return lambda x: f(x)
lam_test = lambda x: x + "!"
def f_test(x):
return x ** 2
class example(object):
def meth_test(self, x):
return (x, x)
@staticmethod
def stat_test(x):
return [x]
self.assertEqual(id_wrap(lam_test)("woot"), "woot!")
self.assertEqual(id_wrap(f_test)(2), 4)
self.assertEqual(id_wrap(example().meth_test)(2), (2, 2))
self.assertEqual(id_wrap(example.stat_test)(2), [2])
self.assertEqual((id_wrap * id_wrap % (lambda x: x+1))(9), 10)
with self.assertRaises(te): id_wrap(1)
@sig(H/ func >> func >> int >> int)
def composei(f, g, x):
return f(g(x))
self.assertEqual(composei(lambda x: x + 2)(lambda x: x * 3)(6), 20)
def test_TypedFunc_class(self):
@sig(H[(Eq, "a")]/ "a" >> "a")
def eq_id(a):
return a
self.assertEqual(1, eq_id(1))
def test_match(self):
match_only = lambda v, p: pattern_match(v, p)[0]
pb = PatternMatchBind
# literal matches
self.assertTrue(match_only(1, 1))
self.assertTrue(match_only((1, "a"), (1, "a")))
self.assertTrue(match_only(Nothing, Nothing))
self.assertTrue(match_only(Just(1), Just(1)))
self.assertFalse(match_only(2, 1))
self.assertFalse(match_only(("a", 1), (1, "a")))
self.assertFalse(match_only(("a", "b"), ["a", "b"]))
self.assertFalse(match_only(Nothing, Just(Nothing)))
self.assertFalse(match_only(Just(2), Just(1)))
self.assertFalse(match_only(Right(2), Just(2)))
self.assertFalse(match_only(Right(2), Left(2)))
# matches with wildcard (i.e, discarded variable bind)
self.assertTrue(match_only(1, pb("_")))
self.assertTrue(match_only(Nothing, pb("_")))
self.assertTrue(match_only(Just("whatever"), Just(pb("_"))))
self.assertTrue(match_only(Right(Just(5)), Right(Just(pb("_")))))
self.assertTrue(match_only(("a", "b", "c"), ("a", pb("_"), "c")))
self.assertFalse(match_only(("a", "b", "c"), ("1", pb("_"), "c")))
self.assertFalse(match_only(("a", "b", "d"), ("a", pb("_"), "c")))
# matches with variable binding
self.assertEqual((True, {"a":1}), pattern_match(1, pb("a")))
self.assertEqual((True, {"a":1, "b":2}),
pattern_match((1, 2), (pb("a"), pb("b"))))
self.assertEqual((True, {"a":8}),
pattern_match(Just(8), Just(pb("a"))))
self.assertEqual((True, {"a":"a"}),
pattern_match(Right(Just("a")), Right(Just(pb("a")))))
self.assertEqual((False, {"a":1}),
pattern_match((2, 1), (3, pb("a"))))
self.assertEqual((True, {"a":1, "b":2, "_":"a"}),
pattern_match((1, "a", 2), (pb("a"), pb("_"), pb("b"))))
with self.assertRaises(se):
pattern_match((1, 2), (pb("c"), pb("a")), {"c":1})
with self.assertRaises(se):
pattern_match((1, 2), (pb("c"), pb("a")), {"a":1})
class TestADTInternals_Enum(unittest.TestCase):
def setUp(self):
"""
Dummy type constructors and data constructors for an ADT with all
enum data constructors
"""
ds = [("E1", []), ("E2", []), ("E3", [])]
self.Type_Const, self.E1, self.E2, self.E3 =\
build_ADT("Type_Const", [], ds, [])
def test_adt(self):
self.assertEqual(list(self.Type_Const.__constructors__),
[self.E1, self.E2, self.E3])
self.assertTrue(isinstance(self.E1, self.Type_Const))
self.assertTrue(isinstance(self.E2, self.Type_Const))
self.assertTrue(isinstance(self.E3, self.Type_Const))
def test_derive_eq_data(self):
with self.assertRaises(te): self.E1 == self.E1
with self.assertRaises(te): self.E1 != self.E1
Eq.derive_instance(self.Type_Const)
self.assertTrue(self.E1 == self.E1)
self.assertTrue(self.E2 == self.E2)
self.assertTrue(self.E3 == self.E3)
def test_derive_show_data(self):
self.assertNotEquals("E1", str(self.E1))
Show.derive_instance(self.Type_Const)
self.assertEqual("E1", str(self.E1))
self.assertEqual("E2", str(self.E2))
self.assertEqual("E3", str(self.E3))
def test_derive_ord_data(self):
with self.assertRaises(te): self.E1 > self.E1
with self.assertRaises(te): self.E1 >= self.E1
with self.assertRaises(te): self.E1 < self.E1
with self.assertRaises(te): self.E1 <= self.E1
Eq.derive_instance(self.Type_Const)
Ord.derive_instance(self.Type_Const)
self.assertTrue(self.E1 < self.E2)
self.assertTrue(self.E1 <= self.E2)
self.assertFalse(self.E1 > self.E2)
self.assertFalse(self.E1 >= self.E2)
def test_derive_bounded_data(self):
Bounded.derive_instance(self.Type_Const)
class TestADTInternals_Builtin(unittest.TestCase):
def setUp(self):
"""
Dummy type constructors and data constructors for an ADT with all
builtin (non-polymorphic) fields
"""
ds = [("M1", [int]), ("M2", [int, str]), ("M3", [int, int, int])]
self.Type_Const, self.M1, self.M2, self.M3 =\
build_ADT("Type_Const", [], ds, [])
def test_adt(self):
self.assertTrue(isinstance(self.M1(1), self.Type_Const))
self.assertTrue(isinstance(self.M2(1, "abc"), self.Type_Const))
self.assertTrue(isinstance(self.M2(1)("abc"), self.Type_Const))
self.assertTrue(isinstance(self.M3(1, 2, 3), self.Type_Const))
self.assertTrue(isinstance(self.M3(1)(2, 3), self.Type_Const))
with self.assertRaises(te): self.M1(1.0)
with self.assertRaises(te): self.M3(1, 2, "3")
def test_derive_eq_data(self):
with self.assertRaises(te): self.M1(1) == self.M1(1)
with self.assertRaises(te): self.M1(1) != self.M1(1)
Eq.derive_instance(self.Type_Const)
self.assertTrue(self.M1(1) == self.M1(1))
self.assertTrue(self.M2(1, "b") == self.M2(1, "b"))
self.assertTrue(self.M3(1, 2, 3) == self.M3(1, 2, 3))
self.assertFalse(self.M1(1) != self.M1(1))
self.assertFalse(self.M2(1, "b") != self.M2(1, "b"))
self.assertFalse(self.M3(1, 2, 3) != self.M3(1, 2, 3))
self.assertFalse(self.M1(1) == self.M1(2))
self.assertFalse(self.M2(1, "b") == self.M2(4, "b"))
self.assertFalse(self.M2(1, "b") == self.M2(1, "a"))
self.assertFalse(self.M3(1, 2, 3) == self.M3(1, 9, 3))
def test_derive_show_data(self):
self.assertNotEquals("M1(1)", str(self.M1(1)))
Show.derive_instance(self.Type_Const)
self.assertEqual("M1(1)", str(self.M1(1)))
self.assertEqual("M2(1, \'a\')", str(self.M2(1, "a")))
self.assertEqual("M3(1, 2, 3)", str(self.M3(1, 2, 3)))
def test_derive_ord_data(self):
with self.assertRaises(te): self.M1(1) > self.M1(1)
with self.assertRaises(te): self.M1(1) >= self.M1(1)
with self.assertRaises(te): self.M1(1) < self.M1(1)
with self.assertRaises(te): self.M1(1) <= self.M1(1)
Eq.derive_instance(self.Type_Const)
Ord.derive_instance(self.Type_Const)
self.assertTrue(self.M1(1) < self.M1(2))
self.assertTrue(self.M1(1) <= self.M1(2))
self.assertTrue(self.M1(2) <= self.M1(2))
self.assertFalse(self.M1(3) < self.M1(2))
self.assertFalse(self.M1(3) <= self.M1(2))
self.assertTrue(self.M1(2) > self.M1(1))
self.assertTrue(self.M1(2) >= self.M1(1))
self.assertTrue(self.M1(2) >= self.M1(2))
self.assertFalse(self.M1(1) > self.M1(2))
self.assertFalse(self.M1(1) >= self.M1(2))
def test_derive_bounded_data(self):
with self.assertRaises(te):
Bounded.derive_instance(self.Type_Const)
class TestADTInternals_Poly(unittest.TestCase):
def setUp(self):
"""
Dummy type constructors and data constructors for an ADT with
polymorphic fields
"""
ds = [("M1", ["a"]), ("M2", ["a", "b"]), ("M3", ["a", "c", "c"])]
self.Type_Const, self.M1, self.M2, self.M3 =\
build_ADT("Type_Const", ["a", "b", "c"], ds, [])
def test_adt(self):
self.assertTrue(isinstance(self.M1(1), self.Type_Const))
self.assertTrue(isinstance(self.M2(1, "abc"), self.Type_Const))
self.assertTrue(isinstance(self.M2(1)("abc"), self.Type_Const))
self.assertTrue(isinstance(self.M3(1, 2, 3), self.Type_Const))
self.assertTrue(isinstance(self.M3(1)(2, 3), self.Type_Const))
with self.assertRaises(te): self.M3(1, "a", 2)
def test_derive_eq_data(self):
with self.assertRaises(te): self.M1(1) == self.M1(1)
with self.assertRaises(te): self.M1(1) == self.M2(1, "b")
with self.assertRaises(te): self.M1(1) != self.M1(1)
with self.assertRaises(te): self.M1(1) != self.M2(1, "b")
Eq.derive_instance(self.Type_Const)
self.assertEqual(self.M1(1), self.M1(1))
self.assertEqual(self.M2(1, "a"), self.M2(1, "a"))
self.assertNotEqual(self.M1("a"), self.M1("b"))
self.assertNotEqual(self.M1("a"), self.M2("a", "b"))
self.assertEqual(self.M3(1, "b", "b"), self.M3(1, "b", "b"))
with self.assertRaises(te): self.M1(1) == self.M1("a")
with self.assertRaises(te): self.M3(1, 2, 2) == self.M3(1, "a", "b")
def test_derive_show_data(self):
self.assertNotEqual("M1(1)", str(self.M1(1)))
self.assertNotEqual("M2(1, 2)", str(self.M2(1, 2)))
Show.derive_instance(self.Type_Const)
self.assertEqual("M1(1)", str(self.M1(1)))
self.assertEqual("M2(1, 2)", str(self.M2(1, 2)))
def test_derive_ord_data(self):
with self.assertRaises(te): self.M1(1) > self.M1(1)
with self.assertRaises(te): self.M1(1) < self.M2(1, "b")
with self.assertRaises(te): self.M1(1) >= self.M1(1)
with self.assertRaises(te): self.M1(1) <= self.M2(1, "b")
Eq.derive_instance(self.Type_Const)
Ord.derive_instance(self.Type_Const)
self.assertTrue(self.M1(1) < self.M2(100, "a"))
self.assertTrue(self.M1(1) <= self.M2(100, "a"))
self.assertFalse(self.M1(1) > self.M2(100, "a"))
self.assertFalse(self.M1(1) >= self.M2(100, "a"))
self.assertTrue(self.M3(1, "a", "b") < self.M3(1, "a", "c"))
self.assertTrue(self.M3(1, "a", "b") <= self.M3(1, "a", "c"))
self.assertFalse(self.M1(1) > self.M2(100, "a"))
self.assertFalse(self.M1(1) >= self.M2(100, "a"))
with self.assertRaises(te): self.M1(1) > self.M1("a")
with self.assertRaises(te): self.M3(1, 2, 2) > self.M3(1, "a", "b")
class TestADTSyntax(unittest.TestCase):
def test_data(self):
# these are not syntactically valid
with self.assertRaises(se): data.n
with self.assertRaises(se): data.n("a")
with self.assertRaises(se): data.N("!")
with self.assertRaises(se): data.N("A")
with self.assertRaises(se): data.N("a", "a")
with self.assertRaises(se): data.N(1, "b")
with self.assertRaises(se): data.N("a")("b")
with self.assertRaises(se): data.N()
with self.assertRaises(se): data.N == d
with self.assertRaises(se): data.N == 1
# these should all work fine
self.assertIsNotNone(data.N)
self.assertIsNotNone(data.N1)
self.assertIsNotNone(data.N("a"))
self.assertIsNotNone(data.N("azzz"))
self.assertIsNotNone(data.N("a", "b"))
def test_d(self):
# these are not syntactically valid
with self.assertRaises(se): d.a
with self.assertRaises(se): d.A | deriving(Eq)
with self.assertRaises(se): d.A | d
with self.assertRaises(se): d.A | d.B | d
with self.assertRaises(se): d.A | "a"
with self.assertRaises(te): deriving("a")
with self.assertRaises(se): deriving(Eq, Show) | d.B
with self.assertRaises(se): deriving(Eq, Show) & d.B
with self.assertRaises(se): d.A("a", "b") & deriving
with self.assertRaises(se): d.A("a", "b") & Show
with self.assertRaises(te): deriving(1, 2)
# these should all work fine
self.assertIsNotNone(d.A)
self.assertIsNotNone(d.A("a"))
self.assertIsNotNone(d.A("a", "b", "c"))
self.assertIsNotNone(d.A("a") | d.B("b"))
self.assertIsNotNone(d.A("a") | d.B)
self.assertIsNotNone(d.B | d.A("a"))
self.assertIsNotNone(d.B | d.A)
self.assertIsNotNone(d.A("a") | d.B("b") | d.C("a"))
self.assertIsNotNone(d.A("a", "b") & deriving(Eq, Show))
self.assertIsNotNone(d.A("a") | d.B("b") & deriving(Eq, Show))
def test_adts(self):
"""Assorted ADT tests that don't fit anywhere else"""
T, M1, M2, M3 =\
data.T("a", "b") == d.M1("a") | d.M2("b") | d.M3 & deriving(Eq)
self.assertEqual(M1(20), M1(20))
self.assertEqual(M2(20), M2(20))
self.assertNotEqual(M1(20), M1(21))
self.assertNotEqual(M2(20), M2(21))
self.assertNotEqual(M1(2), M2(2))
self.assertNotEqual(M1(2), M2("a"))
self.assertNotEqual(M1(2), M3)
self.assertEqual(M3, M3)
self.assertFalse(M3 != M3)
with self.assertRaises(te): M1("a") == M1(3.0)
A, B, C =\
data.A == d.B(str, str) | d.C(str) & deriving(Show, Eq)
self.assertTrue(has_instance(A, Show))
self.assertTrue(has_instance(A, Eq))
self.assertEqual("B('a', 'b')", str(B("a", "b")))
self.assertEqual("C('a')", str(C("a")))
self.assertEqual(B("a", "b"), B("a", "b"))
self.assertEqual(C("a"), C("a"))
self.assertNotEqual(B("a", "b"), B("a", "c"))
self.assertNotEqual(C("b"), C("c"))
self.assertNotEqual(C("b"), B("b", "c"))
with self.assertRaises(te): M1("a") == C("a")
# make sure everything works with only 1 constructor
A, B =\
data.A == d.B(str, str) & deriving(Show, Eq)
self.assertTrue(has_instance(A, Show))
self.assertTrue(has_instance(A, Eq))
self.assertEqual("B('a', 'b')", str(B("a", "b")))
self.assertEqual(B("a", "b"), B("a", "b"))
self.assertNotEqual(B("a", "b"), B("a", "c"))
# make sure everything works with a bunch of constructors
X, X1, X2, X3, X4, X5, X6 =\
data.X == d.X1 | d.X2 | d.X3 | d.X4 | d.X5 | d.X6 & deriving(Eq, Ord)
self.assertTrue(X1 != X2 and X2 != X3 and X3 != X4 and X4 != X5 and \
X4 != X5 and X5 != X6)
self.assertTrue(X1 < X2 < X3 < X4 < X5 < X6)
with self.assertRaises(te): X1 < A("a", "a")
with self.assertRaises(te): data.X == d.A | d.B & deriving(Show, 1)
class TestBuiltins(unittest.TestCase):
def test_show(self):
from hask.Prelude import show
self.assertEqual('1', show(1))
self.assertEqual("'a'", show("a"))
self.assertEqual("[1, 2]", show([1, 2]))
self.assertEqual("{'a': 1}", show({"a": 1}))
def test_enum(self):
from hask.Prelude import fromEnum, succ, pred
self.assertEqual(1, fromEnum(1))
self.assertEqual("b", succ("a"))
self.assertEqual("a", pred("b"))
self.assertEqual(2, succ(1))
self.assertEqual(2L, succ(1L))
self.assertEqual(1, pred(2))
self.assertEqual(1L, pred(2L))
self.assertEqual(4, succ(succ(succ(1))))
self.assertEqual(4L, succ(succ(succ(1L))))
self.assertEqual(-1L, pred(pred(pred(2L))))
self.assertEqual(-1L, pred(pred(pred(2L))))
def test_numerics(self):
self.assertTrue(has_instance(int, Num))
self.assertTrue(has_instance(long, Num))
self.assertTrue(has_instance(float, Num))
self.assertTrue(has_instance(complex, Num))
class TestSyntax(unittest.TestCase):
def test_syntax(self):
from hask.lang.syntax import Syntax
s = Syntax("err")
with self.assertRaises(se): len(s)
with self.assertRaises(se): s[0]
with self.assertRaises(se): s[1]
with self.assertRaises(se): del s["foo"]
with self.assertRaises(se): iter(s)
with self.assertRaises(se): reversed(s)
with self.assertRaises(se): 1 in s
with self.assertRaises(se): 1 not in s
with self.assertRaises(se): s("f")
with self.assertRaises(se):
with s as b: pass
with self.assertRaises(se): s > 0
with self.assertRaises(se): s < 0
with self.assertRaises(se): s >= 0
with self.assertRaises(se): s <= 0
with self.assertRaises(se): s == 0
with self.assertRaises(se): s != 0
with self.assertRaises(se): abs(s)
with self.assertRaises(se): ~s
with self.assertRaises(se): +s
with self.assertRaises(se): -s
with self.assertRaises(se): s + 1
with self.assertRaises(se): s - 1
with self.assertRaises(se): s * 1
with self.assertRaises(se): s ** 1
with self.assertRaises(se): s / 1
with self.assertRaises(se): s % 1
with self.assertRaises(se): divmod(s, 1)
with self.assertRaises(se): s << 1
with self.assertRaises(se): s >> 1
with self.assertRaises(se): s & 1
with self.assertRaises(se): s | 1
with self.assertRaises(se): s ^ 1
with self.assertRaises(se): 1 + s
with self.assertRaises(se): 1 - s
with self.assertRaises(se): 1 * s
with self.assertRaises(se): 1 ** s
with self.assertRaises(se): 1 / s
with self.assertRaises(se): 1 % s
with self.assertRaises(se): 1 << s
with self.assertRaises(se): 1 >> s
with self.assertRaises(se): 1 & s
with self.assertRaises(se): 1 | s
with self.assertRaises(se): 1 ^ s
with self.assertRaises(se): s += 1
with self.assertRaises(se): s -= 1
with self.assertRaises(se): s *= 1
with self.assertRaises(se): s **= 1
with self.assertRaises(se): s /= 1
with self.assertRaises(se): s %= 1
with self.assertRaises(se): s <<= 1
with self.assertRaises(se): s >>= 1
with self.assertRaises(se): s &= 1
with self.assertRaises(se): s |= 1
with self.assertRaises(se): s ^= 1
def test_section(self):
"""Operator sections (e.g. `(1+__)` )"""
# basic sections
self.assertEqual(4, (__ + 1)(3))
self.assertEqual(4, (1 + __)(3))
self.assertEqual(3, (__ - 5)(8))
self.assertEqual(3, (8 - __)(5))
self.assertEqual(8, (__ * 2)(4))
self.assertEqual(8, (2 * __)(4))
self.assertEqual(1, (__ % 4)(5))
self.assertEqual(1, (5 % __)(4))
self.assertTrue((__ < 4)(3))
self.assertTrue((5 < __)(9))
self.assertTrue((__ > 4)(5))
self.assertTrue((5 > __)(4))
self.assertTrue((__ == 4)(4))
self.assertTrue((5 == __)(5))
self.assertTrue((__ != 4)(3))
self.assertTrue((5 != __)(8))
self.assertTrue((__ >= 4)(5))
self.assertTrue((5 >= __)(5))
self.assertTrue((__ <= 4)(4))
self.assertTrue((5 <= __)(8))
self.assertFalse((__ < 4)(4))
self.assertFalse((5 < __)(2))
self.assertFalse((__ > 4)(3))
self.assertFalse((5 > __)(5))
self.assertFalse((__ == 4)(9))
self.assertFalse((5 == __)(8))
self.assertFalse((__ != 4)(4))
self.assertFalse((5 != __)(5))