code-conjure-0.5.10: test/conjurable.hs
-- Copyright (C) 2021-2024 Rudy Matela
-- Distributed under the 3-Clause BSD licence (see the file LICENSE).
{-# Language DeriveDataTypeable, StandaloneDeriving #-} -- for GHC < 7.10
import Test
import Data.Dynamic
-- An Unit type that is not an Eq instance
data Unit = Unit deriving Show
deriving instance Typeable Unit -- for GHC < 7.10
instance Listable Unit where list = [Unit]
instance Name Unit where name _ = "u"
instance Conjurable Unit where
conjureExpress = reifyExpress
conjureTiers = reifyTiers
instance Express Unit where expr = val
main :: IO ()
main = mainTest tests 5040
tests :: Int -> [Bool]
tests n =
[ True
, conjureApplication "not" not == not' pp
, conjureApplication "not q" not == not' qq
, conjureApplication "negate" (negate :: Int -> Int) == negate' xx
, conjureApplication "negate i" (negate :: Int -> Int) == negate' ii
, conjureApplication "+" ((+) :: Int -> Int -> Int) == xx -+- yy
, conjureApplication "+ i j" ((+) :: Int -> Int -> Int) == ii -+- jj
, holds n $ \x y -> (x <==> y) == (x == (y :: ()))
, holds n $ \x y -> (x <==> y) == (x == (y :: Int))
, holds n $ \p q -> (p <==> q) == (p == (q :: Bool))
, conjureEquality Unit == Nothing
, holds n $ \xs ys -> (xs <==> ys) == (xs == (ys :: [Int]))
, holds n $ \s1 s2 -> (s1 <==> s2) == (s1 == (s2 :: String))
, conjureEquality [Unit] == Nothing
, holds n $ \xy zw -> (xy <==> zw) == (xy == (zw :: (Int,Int)))
, holds n $ \xy zw -> (xy <==> zw) == (xy == (zw :: (Bool,Integer)))
, holds n $ \xy zw -> (xy <==> zw) == (xy == (zw :: (String,[Int])))
, conjureEquality (undefined :: (Int,Unit)) == Nothing
, conjureEquality (undefined :: (Unit,Int)) == Nothing
, holds n $ \xyz wvu -> (xyz <==> wvu) == (xyz == (wvu :: (Int,Int,Int)))
, holds n $ \xyz wvu -> (xyz <==> wvu) == (xyz == (wvu :: (Bool,Bool,Bool)))
, holds n $ \xyz wvu -> (xyz <==> wvu) == (xyz == (wvu :: (Int,Bool,())))
, holds n $ \xyz wvu -> (xyz <==> wvu) == (xyz == (wvu :: (Bool,String,[Integer])))
, isNothing $ conjureEquality (undefined :: (Unit,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Unit,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit))
, holds n $ \mx my -> (mx <==> my) == (mx == (my :: Maybe ()))
, holds n $ \mx my -> (mx <==> my) == (mx == (my :: Maybe Bool))
, holds n $ \mx my -> (mx <==> my) == (mx == (my :: Maybe Int))
, holds n $ \mx my -> (mx <==> my) == (mx == (my :: Maybe [Maybe Int]))
, isNothing $ conjureEquality (undefined :: Maybe Unit)
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either () ()))
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either Bool Bool))
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either Int Int))
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either Int Bool))
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either Bool Int))
, holds n $ \ex ey -> (ex <==> ey) == (ex == (ey :: Either [Int] String))
, isNothing $ conjureEquality (undefined :: Either Unit Bool)
, isNothing $ conjureEquality (undefined :: Either Bool Unit)
, isNothing $ conjureEquality (undefined :: Either Unit Unit)
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Int,Int,Int)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,Bool,Bool,Bool)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Bool,(),Char)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,String,[Integer],Bool)))
, isNothing $ conjureEquality (undefined :: (Unit,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Unit,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit,Unit))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Int,Int,Int,Int)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,Bool,Bool,Bool,Bool)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Bool,(),Char,String)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,String,[Integer],Bool,String)))
, isNothing $ conjureEquality (undefined :: (Unit,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Unit,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Unit,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Unit))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Int,Int,Int,Int,Int)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,Bool,Bool,Bool,Bool,Bool)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Bool,(),Char,String,Bool)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,String,[Integer],Bool,String,Int)))
, isNothing $ conjureEquality (undefined :: (Unit,Bool,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Unit,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Unit,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Unit,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Bool,Unit))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Int,Int,Int,Int,Int,Int)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,Bool,Bool,Bool,Bool,Bool,Bool)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Int,Bool,(),Char,String,Bool,Int)))
, holds n $ \t1 t2 -> (t1 <==> t2) == (t1 == (t2 :: (Bool,String,[Integer],Bool,String,Int,[Integer])))
, isNothing $ conjureEquality (undefined :: (Unit,Bool,Bool,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Unit,Bool,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Unit,Bool,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Unit,Bool,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Unit,Bool,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Bool,Unit,Bool))
, isNothing $ conjureEquality (undefined :: (Bool,Bool,Bool,Bool,Bool,Bool,Unit))
, conjureArgumentHoles (undefined :: Bool -> Int -> Bool -> ()) == [b_, i_, b_]
, length (conjureCases (undefined :: ())) == 1
, length (conjureCases (undefined :: Bool)) == 2
, length (conjureCases (undefined :: Int)) == 0
, length (conjureCases (undefined :: Integer)) == 0
, length (conjureCases (undefined :: [Int])) == 2
, length (conjureCases (undefined :: [Bool])) == 2
, conjureCases (undefined :: Bool) == [false, true]
, conjureCases (undefined :: Int) == []
, conjureCases (undefined :: [Int]) == [nil, i_ -:- is_]
, conjureCases (undefined :: [Bool]) == [nilBool, b_ -:- bs_]
, conjureCases (undefined :: Maybe Int) == [nothing, just i_]
, map length (conjureArgumentCases (undefined :: () -> Bool -> Int -> [Int] -> [Bool] -> ()))
== [1, 2, 0, 2, 2]
, conjurePats [zero, one] "f" (undefined :: Int -> Int)
== [ [ [ ff xx
]
]
, [ [ ff zero
, ff xx
]
]
, [ [ ff one
, ff xx
]
]
, [ [ ff zero
, ff one
, ff xx
]
]
]
, conjurePats [] "f" (undefined :: [Int] -> Int)
== [ [ [ ffs xxs
]
]
, [ [ ffs nilInt
, ffs (xx -:- xxs)
]
]
]
, take 3 (conjurePats [zero, one] "?" (undefined :: Int -> Int -> Int))
== [ [ [ xx -?- yy
]
]
, [ [ xx -?- zero
, xx -?- yy
]
, [ zero -?- xx
, xx -?- yy
]
]
, [ [ xx -?- one
, xx -?- yy
]
, [ zero -?- xx
, xx -?- zero
, xx -?- yy
]
, [ zero -?- zero
, zero -?- xx
, xx -?- yy
]
, [ one -?- xx
, xx -?- yy
]
]
]
, mapT length (conjurePats [zero, one] "foo" (undefined :: [Int] -> Int -> Int))
== [[1],[2,2],[2,3,3],[3,3,4,3],[4,4,4,4],[5,4,5],[5,5],[6]]
, mapT length (conjurePats [zero, one] "foo" (undefined :: Int -> [Int] -> Int))
== [[1],[2,2],[3,3,2],[4,3,3,3],[4,4,4,4],[5,5,5],[6]]
, conjurePats [] "foo" (undefined :: [Int] -> [Char] -> Int)
== [ [ [ ffoo xxs ccs
]
]
, [ [ ffoo xxs emptyString
, ffoo xxs (cc -:- ccs)
]
, [ ffoo nilInt ccs
, ffoo (xx -:- xxs) ccs
]
]
, [ [ ffoo nilInt ccs
, ffoo (xx -:- xxs) emptyString
, ffoo (xx -:- xxs) (cc -:- ccs)
]
, [ ffoo nilInt emptyString
, ffoo nilInt (cc -:- ccs)
, ffoo (xx -:- xxs) ccs
]
]
, [ [ ffoo nilInt emptyString
, ffoo nilInt (cc -:- ccs)
, ffoo (xx -:- xxs) emptyString
, ffoo (xx -:- xxs) (cc -:- ccs)
]
]
]
, fromDynamic (conjureDynamicEq ((+) :: Int -> Int -> Int) `dynApp` toDyn (1::Int) `dynApp` toDyn (2::Int))
== Just False
, fromDynamic (conjureDynamicEq ((+) :: Int -> Int -> Int) `dynApp` toDyn (1::Int) `dynApp` toDyn (1::Int))
== Just True
, isNumeric one
, isNumeric (val (1 :: Integer))
, isNumeric bee == False
, isNumeric (expr [0::Int]) == False
, isNumeric true == False
-- the following conjurableOK calls take 5 seconds to compile!
, conjurableOK (undefined :: ())
, conjurableOK (undefined :: Bool)
, conjurableOK (undefined :: Int)
, conjurableOK (undefined :: Char)
, conjurableOK (undefined :: Integer)
, conjurableOK (undefined :: Ordering)
, conjurableOK (undefined :: Float)
, conjurableOK (undefined :: Double)
, conjurableOK (undefined :: Rational)
, conjurableOK (undefined :: A)
, conjurableOK (undefined :: B)
, conjurableOK (undefined :: C)
, conjurableOK (undefined :: D)
, conjurableOK (undefined :: E)
, conjurableOK (undefined :: F)
, conjurableOK (undefined :: [()])
, conjurableOK (undefined :: [Bool])
, conjurableOK (undefined :: [Int])
, conjurableOK (undefined :: String)
, conjurableOK (undefined :: ((),()))
, conjurableOK (undefined :: (Bool,Bool))
, conjurableOK (undefined :: (Int,Int))
, conjurableOK (undefined :: (Char,String))
, conjurableOK (undefined :: (Bool,[Int]))
, conjurableOK (undefined :: (Int,Int,Int))
, conjurableOK (undefined :: (Bool,Int,Char))
, conjurableOK (undefined :: ([Int],[Bool],String))
, conjurableOK (undefined :: Maybe ())
, conjurableOK (undefined :: Maybe Bool)
, conjurableOK (undefined :: Maybe Int)
, conjurableOK (undefined :: Maybe Char)
, conjurableOK (undefined :: Maybe String)
, conjurableOK (undefined :: Either () ())
, conjurableOK (undefined :: Either Bool Bool)
, conjurableOK (undefined :: Either Int Int)
, conjurableOK (undefined :: Either String Int)
, conjurableOK (undefined :: Either String Char)
, conjurableOK (undefined :: (Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int,Int,Int,Int,Int))
, conjurableOK (undefined :: (Int,Int,Int,Int,Int,Int,Int,Int,Int,Int,Int,Int))
-- little sanity check (conjurableOK should catch it anyway)
, take 6 (conjureListFor (undefined :: Int) i_)
== [zero, one, minusOne, two, minusTwo, three]
]
isNumeric :: Expr -> Bool
isNumeric = conjureIsNumeric (undefined :: [Int] -> [Char] -> [Bool] -> [Integer])
ffs :: Expr -> Expr
ffs e = ffE :$ e
where
ffE = var "f" (undefined :: [Int] -> Int)
ffoo :: Expr -> Expr -> Expr
ffoo ex ey = headOr err . mapMaybe ($$ ey) . mapMaybe ($$ ex)
$ [ var "foo" (undefined :: [Int] -> [Char] -> Int)
, var "foo" (undefined :: Int -> [Int] -> Int)
, var "foo" (undefined :: [Int] -> Int -> Int)
]
where
err = error $ "ffoo: cannot apply `foo :: * -> * -> *` to `"
++ show ex ++ "' and `" ++ show ey ++ "'. Unhandled types?"
-- Equality but obtained through conjurable
(<==>) :: Conjurable a => a -> a -> Bool
x <==> y = x == y
where
(==) = eval err . fromMaybe err $ conjureEquality x
err = error "<==>: could not conjure"
infix 4 <==>