Eval optimization! Tests for demos
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@ -1,19 +1,19 @@
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-- We represent `false` with a Leaf and `true` with a Stem Leaf
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false = t
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true = t t
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demo_false = t
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demo_true = t t
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-- Tree Calculus representation of the Boolean `not` function
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not_TC? = t (t (t t) (t t t)) (t t (t t t))
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-- /demos/toSource.tri contains an explanation of `triage`
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triage = (\a b c : t (t a b) c)
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matchBool = (\ot of : triage
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demo_triage = (\a b c : t (t a b) c)
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demo_matchBool = (\ot of : demo_triage
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of
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(\_ : ot)
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(\_ _ : ot)
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)
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-- Lambda representation of the Boolean `not` function
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not_Lambda? = matchBool false true
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not_Lambda? = demo_matchBool demo_false demo_true
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-- Since tricu eliminates Lambda terms to SKI combinators, the tree form of many
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-- functions defined via Lambda terms are larger than the most efficient TC
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@ -25,11 +25,11 @@ not_Lambda? = matchBool false true
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lambdaEqualsTC = equal? not_TC? not_Lambda?
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-- Here are some checks to verify their extensional behavior is the same:
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true_TC? = not_TC? false
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false_TC? = not_TC? true
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true_TC? = not_TC? demo_false
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false_TC? = not_TC? demo_true
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true_Lambda? = not_Lambda? false
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false_Lambda? = not_Lambda? true
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true_Lambda? = not_Lambda? demo_false
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false_Lambda? = not_Lambda? demo_true
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bothTrueEqual? = equal? true_TC? true_Lambda?
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bothFalseEqual? = equal? false_TC? false_Lambda?
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@ -4,7 +4,7 @@
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-- NOTICE: This demo relies on tricu base library functions
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--
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-- We model labelled binary trees as sublists where values act as labels. We
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-- require explicit notation of empty nodes. Empty nodes can be represented
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-- require explicit not?ation of empty nodes. Empty nodes can be represented
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-- with an empty list, `[]`, which is equivalent to a single node `t`.
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--
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-- Example tree inputs:
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@ -19,33 +19,33 @@
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label = (\node : head node)
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left = (\node : if (emptyList node)
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left = (\node : if (emptyList? node)
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[]
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(if (emptyList (tail node))
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(if (emptyList? (tail node))
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[]
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(head (tail node))))
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right = (\node : if (emptyList node)
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right = (\node : if (emptyList? node)
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[]
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(if (emptyList (tail node))
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(if (emptyList? (tail node))
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[]
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(if (emptyList (tail (tail node)))
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(if (emptyList? (tail (tail node)))
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[]
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(head (tail (tail node))))))
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processLevel = y (\self queue : if (emptyList queue)
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processLevel = y (\self queue : if (emptyList? queue)
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[]
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(pair (map label queue) (self (filter
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(\node : not (emptyList node))
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(\node : not? (emptyList? node))
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(lconcat (map left queue) (map right queue))))))
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levelOrderTraversal_ = (\a : processLevel (t a t))
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toLineString = y (\self levels : if (emptyList levels)
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toLineString = y (\self levels : if (emptyList? levels)
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""
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(lconcat
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(lconcat (map (\x : lconcat x " ") (head levels)) "")
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(if (emptyList (tail levels)) "" (lconcat (t (t 10 t) t) (self (tail levels))))))
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(if (emptyList? (tail levels)) "" (lconcat (t (t 10 t) t) (self (tail levels))))))
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levelOrderToString = (\s : toLineString (levelOrderTraversal_ s))
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@ -17,3 +17,5 @@ size = (\x :
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self
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(\x y : compose (self x) (self y))
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x)) x 0))
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size size
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@ -8,7 +8,7 @@
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-- the Tree Calculus term, `triage` enables branching logic based on the term's
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-- shape, making it possible to perform structure-specific operations such as
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-- reconstructing the terms' source code representation.
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triage = (\leaf stem fork : t (t leaf stem) fork)
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-- triage = (\leaf stem fork : t (t leaf stem) fork)
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-- Base case of a single Leaf
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sourceLeaf = t (head "t")
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13
src/Eval.hs
13
src/Eval.hs
@ -24,7 +24,7 @@ evalSingle env term
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| SVar name <- term =
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case Map.lookup name env of
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Just v -> Map.insert "__result" v env
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Nothing -> errorWithoutStackTrace $ "Variable " ++ name ++ " not defined"
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Nothing -> errorWithoutStackTrace $ "Variable `" ++ name ++ "` not defined"
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| otherwise =
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Map.insert "__result" (evalAST env term) env
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@ -59,11 +59,13 @@ evalAST env term
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elimLambda :: TricuAST -> TricuAST
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elimLambda = go
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where
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go (SLambda [v] (SApp f (SVar x)))
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| v == x && not (isFree v f) = elimLambda f
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go (SLambda (v:vs) body)
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| null vs = toSKI v (elimLambda body)
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| otherwise = elimLambda (SLambda [v] (SLambda vs body))
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go (SApp f g) = SApp (elimLambda f) (elimLambda g)
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go x = x
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| null vs = toSKI v (elimLambda body)
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| otherwise = elimLambda (SLambda [v] (SLambda vs body))
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go (SApp f g) = SApp (elimLambda f) (elimLambda g)
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go x = x
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toSKI x (SVar y)
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| x == y = _I
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@ -73,7 +75,6 @@ elimLambda = go
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| otherwise = SApp (SApp _S (toSKI x n)) (toSKI x u)
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toSKI x t
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| not (isFree x t) = SApp _K t
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| otherwise = SApp (SApp _S (toSKI x t)) TLeaf
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_S = parseSingle "t (t (t t t)) t"
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_K = parseSingle "t t"
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60
test/Spec.hs
60
test/Spec.hs
@ -25,16 +25,17 @@ runTricu s = show $ result (evalTricu Map.empty $ parseTricu s)
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tests :: TestTree
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tests = testGroup "Tricu Tests"
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[ lexerTests
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, parserTests
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, evaluationTests
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, lambdaEvalTests
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, libraryTests
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, fileEvaluationTests
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[ lexer
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, parser
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, simpleEvaluation
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, lambdas
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, baseLibrary
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, fileEval
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, demos
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]
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lexerTests :: TestTree
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lexerTests = testGroup "Lexer Tests"
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lexer :: TestTree
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lexer = testGroup "Lexer Tests"
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[ testCase "Lex simple identifiers" $ do
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let input = "x a b = a"
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expect = Right [LIdentifier "x", LIdentifier "a", LIdentifier "b", LAssign, LIdentifier "a"]
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@ -74,8 +75,8 @@ lexerTests = testGroup "Lexer Tests"
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Right _ -> assertFailure "Expected failure when trying to assign the value of __result"
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]
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parserTests :: TestTree
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parserTests = testGroup "Parser Tests"
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parser :: TestTree
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parser = testGroup "Parser Tests"
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[ testCase "Error when assigning a value to T" $ do
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let tokens = lexTricu "t = x"
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case parseSingleExpr tokens of
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@ -175,8 +176,8 @@ parserTests = testGroup "Parser Tests"
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parseTricu input @?= expect
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]
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evaluationTests :: TestTree
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evaluationTests = testGroup "Evaluation Tests"
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simpleEvaluation :: TestTree
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simpleEvaluation = testGroup "Evaluation Tests"
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[ testCase "Evaluate single Leaf" $ do
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let input = "t"
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let ast = parseSingle input
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@ -244,7 +245,7 @@ evaluationTests = testGroup "Evaluation Tests"
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(result env) @?= (Stem (Stem Leaf))
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, testCase "Evaluate variable shadowing" $ do
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, testCase "Immutable definitions" $ do
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let input = "x = t t\nx = t\nx"
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env = evalTricu Map.empty (parseTricu input)
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result <- try (evaluate (runTricu input)) :: IO (Either SomeException String)
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@ -260,8 +261,8 @@ evaluationTests = testGroup "Evaluation Tests"
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result env @?= Fork (Fork (Stem Leaf) (Fork Leaf Leaf)) Leaf
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]
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lambdaEvalTests :: TestTree
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lambdaEvalTests = testGroup "Lambda Evaluation Tests"
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lambdas :: TestTree
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lambdas = testGroup "Lambda Evaluation Tests"
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[ testCase "Lambda Identity Function" $ do
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let input = "id = (\\x : x)\nid t"
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runTricu input @?= "Leaf"
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@ -340,8 +341,8 @@ lambdaEvalTests = testGroup "Lambda Evaluation Tests"
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runTricu input @?= "Fork Leaf (Fork (Stem Leaf) Leaf)"
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]
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libraryTests :: TestTree
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libraryTests = testGroup "Library Tests"
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baseLibrary :: TestTree
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baseLibrary = testGroup "Library Tests"
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[ testCase "K combinator 1" $ do
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library <- evaluateFile "./lib/base.tri"
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let input = "k (t) (t t)"
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@ -476,8 +477,8 @@ libraryTests = testGroup "Library Tests"
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result env @?= Stem Leaf
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]
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fileEvaluationTests :: TestTree
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fileEvaluationTests = testGroup "Evaluation tests"
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fileEval :: TestTree
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fileEval = testGroup "File evaluation tests"
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[ testCase "Forks" $ do
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res <- liftIO $ evaluateFileResult "./test/fork.tri"
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res @?= Fork Leaf Leaf
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@ -495,3 +496,24 @@ fileEvaluationTests = testGroup "Evaluation tests"
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res <- liftIO $ evaluateFileWithContext library "./test/string.tri"
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decodeResult (result res) @?= "\"String test!\""
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]
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demos :: TestTree
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demos = testGroup "Test provided demo functionality"
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[ testCase "Structural equality demo" $ do
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library <- liftIO $ evaluateFile "./lib/base.tri"
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res <- liftIO $ evaluateFileWithContext library "./demos/equality.tri"
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decodeResult (result res) @?= "t t"
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, testCase "Convert values back to source code demo" $ do
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library <- liftIO $ evaluateFile "./lib/base.tri"
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res <- liftIO $ evaluateFileWithContext library "./demos/toSource.tri"
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decodeResult (result res) @?= "\"(t (t (t t) (t t t)) (t t (t t t)))\""
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, testCase "Determining the size of functions" $ do
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library <- liftIO $ evaluateFile "./lib/base.tri"
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res <- liftIO $ evaluateFileWithContext library "./demos/size.tri"
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decodeResult (result res) @?= "2071"
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, testCase "Level Order Traversal demo" $ do
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library <- liftIO $ evaluateFile "./lib/base.tri"
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res <- liftIO $ evaluateFileWithContext library "./demos/levelOrderTraversal.tri"
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decodeResult (result res) @?= "\"\n1 \n2 3 \n4 5 6 7 \n8 11 10 9 12 \""
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]
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