140 lines
2.8 KiB
Haskell
140 lines
2.8 KiB
Haskell
{-|
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Module : Core.Examples
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Description : Core examples (may eventually be unit tests)
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-}
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{-# LANGUAGE QuasiQuotes #-}
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{-# LANGUAGE OverloadedStrings #-}
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module Core.Examples where
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----------------------------------------------------------------------------------
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import Core.Syntax
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import Core.TH
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----------------------------------------------------------------------------------
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-- TODO: my shitty lexer isn't inserting semicolons
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letrecExample :: Program
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letrecExample = [coreProg|
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pair x y f = f x y;
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fst' p = p k;
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snd' p = p k1;
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f x y =
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letrec
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{ a = pair x b
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; b = pair y a
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} in fst' (snd' (snd' (snd' a)));
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main = f 3 4;
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|]
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idExample :: Program
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idExample = [coreProg|
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main = id 3;
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|]
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indExample1 = [coreProg|
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main = twice twice id 3;
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|]
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indExample2 = [coreProg|
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main = twice twice twice id 3;
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|]
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indExample3 = [coreProg|
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main = letrec
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{ x = 2
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; y = f x x
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} in g y y;
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f a b = b;
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g a b = a;
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|]
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negExample1 = [coreProg|
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main = negate# (id 3);
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|]
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negExample2 = [coreProg|
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main = negate# 3;
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|]
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negExample3 = [coreProg|
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main = twice negate# 3;
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|]
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arithExample1 = [coreProg|
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main = (+#) 3 (negate# 2);
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|]
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arithExample2 = [coreProg|
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main = negate# ((+#) 2 ((*#) 5 3));
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|]
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ifExample1 = [coreProg|
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main = if# True 2 3;
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|]
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ifExample2 = [coreProg|
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main = if# (id True) 2 3;
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|]
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facExample = [coreProg|
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fac n = if# ((==#) n 0) 1 ((*#) n (fac ((-#) n 1)));
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main = fac 3;
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|]
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pairExample1 = [coreProg|
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main = fst (snd (fst (MkPair (MkPair 1 (MkPair 2 3)) 4)));
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|]
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pairExample2 = [coreProg|
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main = (if# False fst snd) (MkPair 2 3);
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|]
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listExample1 = [coreProg|
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main = caseList# (Cons 2 Nil) 3 k;
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|]
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listExample2 = [coreProg|
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cc f x xs = Cons (f x) (map f xs);
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map f l = caseList# l Nil (cc f);
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list = Cons 1 (Cons 2 (Cons 3 Nil));
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main = map negate# list;
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|]
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listExample3 = [coreProg|
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cc f z x xs = f x (foldr f z xs);
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foldr f z l = caseList# l z (cc f z);
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list = Cons 1 (Cons 2 (Cons 3 Nil));
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main = foldr (+#) 0 list;
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|]
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corePrelude :: Module
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corePrelude = Module (Just ("Prelude", [])) $
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-- non-primitive defs
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[coreProg|
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id x = x;
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k x y = x;
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k1 x y = y;
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succ f g x = f x (g x);
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compose f g x = f (g x);
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twice f x = f (f x);
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fst p = casePair# p k;
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snd p = casePair# p k1;
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head l = caseList# l abort# k;
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tail l = caseList# l abort# k1;
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_length_cc x xs = (+#) 1 (length xs);
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length l = caseList# l 0 length_cc;
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|]
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<>
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-- primitive constructors need some specialised wiring:
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Program
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[ ScDef "False" [] $ Con 0 0
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, ScDef "True" [] $ Con 1 0
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, ScDef "MkPair" [] $ Con 0 2
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, ScDef "Nil" [] $ Con 1 0
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, ScDef "Cons" [] $ Con 2 2
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]
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