Clearer definition for apply
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@ -22,14 +22,15 @@ match = (\value patterns :
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otherwise = const (t t)
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-- matchExample = (\x : match x [[(equal? 1) (\_ : "one")]
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-- [(equal? 2) (\_ : "two")]
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-- [(equal? 3) (\_ : "three")]
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-- [(equal? 4) (\_ : "four")]
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-- [(equal? 5) (\_ : "five")]
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-- [(equal? 6) (\_ : "six")]
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-- [(equal? 7) (\_ : "seven")]
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-- [(equal? 8) (\_ : "eight")]
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-- [(equal? 9) (\_ : "nine")]
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-- [(equal? 10) (\_ : "ten")]
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-- [ otherwise (\_ : "I ran out of fingers!")]])
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matchExample = (\x : match x
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[[(equal? 1) (\_ : "one")]
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[(equal? 2) (\_ : "two")]
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[(equal? 3) (\_ : "three")]
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[(equal? 4) (\_ : "four")]
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[(equal? 5) (\_ : "five")]
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[(equal? 6) (\_ : "six")]
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[(equal? 7) (\_ : "seven")]
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[(equal? 8) (\_ : "eight")]
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[(equal? 9) (\_ : "nine")]
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[(equal? 10) (\_ : "ten")]
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[ otherwise (\_ : "I ran out of fingers!")]])
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@ -55,15 +55,24 @@ data EvaluatedForm = TreeCalculus | FSL | AST | Ternary | Ascii | Decode
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-- Environment containing previously evaluated TC terms
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type Env = Map.Map String T
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-- Tree Calculus Reduction
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-- Tree Calculus Reduction Rules
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{-
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The t operator is left associative.
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1. t t a b -> a
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2. t (t a) b c -> a c (b c)
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3a. t (t a b) c t -> a
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3b. t (t a b) c (t u) -> b u
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3c. t (t a b) c (t u v) -> c u v
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-}
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apply :: T -> T -> T
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apply Leaf b = Stem b
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apply (Stem a) b = Fork a b
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apply (Fork Leaf a) _ = a
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apply (Fork (Stem a1) a2) b = apply (apply a1 b) (apply a2 b)
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apply (Fork (Fork a1 a2) a3) Leaf = a1
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apply (Fork (Fork a1 a2) a3) (Stem u) = apply a2 u
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apply (Fork (Fork a1 a2) a3) (Fork u v) = apply (apply a3 u) v
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apply (Fork Leaf a) _ = a
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apply (Fork (Stem a) b) c = apply (apply a c) (apply b c)
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apply (Fork (Fork a b) c) Leaf = a
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apply (Fork (Fork a b) c) (Stem u) = apply b u
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apply (Fork (Fork a b) c) (Fork u v) = apply (apply c u) v
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-- Left associative `t`
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apply Leaf b = Stem b
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apply (Stem a) b = Fork a b
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-- Booleans
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_false :: T
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@ -77,7 +86,7 @@ _not = Fork (Fork _true (Fork Leaf _false)) Leaf
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-- Marshalling
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ofString :: String -> T
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ofString str = ofList (map ofNumber (map fromEnum str))
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ofString str = ofList $ map (ofNumber . fromEnum) str
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ofNumber :: Int -> T
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ofNumber 0 = Leaf
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@ -87,8 +96,7 @@ ofNumber n =
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(ofNumber (n `div` 2))
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ofList :: [T] -> T
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ofList [] = Leaf
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ofList (x:xs) = Fork x (ofList xs)
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ofList = foldr Fork Leaf
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toNumber :: T -> Either String Int
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toNumber Leaf = Right 0
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@ -126,7 +134,7 @@ toSimpleT s = T.unpack
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$ replace "Fork" "t"
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$ replace "Stem" "t"
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$ replace "Leaf" "t"
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$ (T.pack s)
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$ T.pack s
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toTernaryString :: T -> String
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toTernaryString Leaf = "0"
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@ -329,20 +329,20 @@ lambdas = testGroup "Lambda Evaluation Tests"
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let input = "f = (\\x : (\\y : x y))\ng = (\\z : z)\nf g t"
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runTricu input @?= "Leaf"
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, testCase "Lambda with a string literal" $ do
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, testCase "Lambda applied to string literal" $ do
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let input = "f = (\\x : x)\nf \"hello\""
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runTricu input @?= "Fork (Fork Leaf (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork Leaf (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) (Fork (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork (Stem Leaf) Leaf))))))) Leaf))))"
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, testCase "Lambda with an integer literal" $ do
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, testCase "Lambda applied to integer literal" $ do
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let input = "f = (\\x : x)\nf 42"
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runTricu input @?= "Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) (Fork Leaf (Fork (Stem Leaf) Leaf)))))"
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, testCase "Lambda with a list literal" $ do
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, testCase "Lambda applied to list literal" $ do
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let input = "f = (\\x : x)\nf [t (t t)]"
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runTricu input @?= "Fork Leaf (Fork (Stem Leaf) Leaf)"
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, testCase "Lambda with list literal" $ do
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, testCase "Lambda containing list literal" $ do
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let input = "(\\a : [(a)]) 1"
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runTricu input @?= "Fork (Fork (Stem Leaf) Leaf) Leaf"
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]
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