tweaks to playground samples
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@@ -37,23 +37,23 @@ fromMaybe a Nothing = a
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fromMaybe _ (Just a) = a
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data Either : U -> U -> U where
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Left : {a b : U} -> a -> Either a b
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Right : {a b : U} -> b -> Either a b
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Left : {0 a b : U} -> a -> Either a b
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Right : {0 a b : U} -> b -> Either a b
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infixr 7 _::_
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data List : U -> U where
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Nil : {A} → List A
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_::_ : {A} → A → List A → List A
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Nil : ∀ A. List A
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_::_ : ∀ A. A → List A → List A
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infixl 7 _:<_
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data SnocList : U → U where
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Lin : {A} → SnocList A
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_:<_ : {A} → SnocList A → A → SnocList A
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Lin : ∀ A. SnocList A
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_:<_ : ∀ A. SnocList A → A → SnocList A
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-- 'chips'
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infixr 6 _<>>_
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_<>>_ : {a} → SnocList a → List a → List a
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_<>>_ : ∀ a. SnocList a → List a → List a
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Lin <>> ys = ys
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(xs :< x) <>> ys = xs <>> x :: ys
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@@ -67,7 +67,7 @@ f $ a = f a
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infixr 8 _×_
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infixr 2 _,_
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data _×_ : U → U → U where
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_,_ : {A B} → A → B → A × B
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_,_ : ∀ A B. A → B → A × B
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infixl 6 _<_
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class Ord a where
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@@ -81,14 +81,14 @@ instance Ord Nat where
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-- Monad
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class Monad (m : U → U) where
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bind : {a b} → m a → (a → m b) → m b
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pure : {a} → a → m a
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bind : {0 a b} → m a → (a → m b) → m b
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pure : {0 a} → a → m a
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infixl 1 _>>=_ _>>_
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_>>=_ : {m} {{Monad m}} {a b} -> (m a) -> (a -> m b) -> m b
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_>>=_ : {0 m} {{Monad m}} {0 a b} -> (m a) -> (a -> m b) -> m b
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ma >>= amb = bind ma amb
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_>>_ : {m} {{Monad m}} {a b} -> m a -> m b -> m b
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_>>_ : {0 m} {{Monad m}} {0 a b} -> m a -> m b -> m b
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ma >> mb = mb
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-- Equality
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@@ -108,10 +108,10 @@ sym Refl = Refl
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-- Functor
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class Functor (m : U → U) where
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map : {a b} → (a → b) → m a → m b
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map : {0 a b} → (a → b) → m a → m b
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infixr 4 _<$>_
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_<$>_ : {f} {{Functor f}} {a b} → (a → b) → f a → f b
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_<$>_ : {0 f} {{Functor f}} {0 a b} → (a → b) → f a → f b
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f <$> ma = map f ma
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instance Functor Maybe where
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@@ -130,12 +130,12 @@ instance Functor SnocList where
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infixl 3 _<*>_
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class Applicative (f : U → U) where
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-- appIsFunctor : Functor f
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return : {a} → a → f a
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_<*>_ : {a b} -> f (a → b) → f a → f b
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return : {0 a} → a → f a
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_<*>_ : {0 a b} -> f (a → b) → f a → f b
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infixr 2 _<|>_
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class Alternative (m : U → U) where
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_<|>_ : {a} → m a → m a → m a
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_<|>_ : {0 a} → m a → m a → m a
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instance Alternative Maybe where
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Nothing <|> x = x
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@@ -266,9 +266,9 @@ instance Monad IO where
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MkIORes a w => mab a w
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pure a = \ w => MkIORes a w
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pfunc putStrLn : String -> IO Unit := `(s) => (w) => {
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pfunc putStrLn uses (MkIORes MkUnit) : String -> IO Unit := `(s) => (w) => {
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console.log(s)
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return MkIORes(Unit,MkUnit,w)
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return MkIORes(undefined,MkUnit,w)
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}`
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pfunc showInt : Int -> String := `(i) => String(i)`
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@@ -285,8 +285,7 @@ instance Show Int where
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pfunc ord : Char -> Int := `(c) => c.charCodeAt(0)`
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infix 6 _<=_
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pfunc _<=_ : Int -> Int -> Bool := `(x,y) => (x <= y) ? True : False`
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pfunc _<=_ uses (True False) : Int -> Int -> Bool := `(x,y) => (x <= y) ? True : False`
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pfunc unpack : String -> List Char
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:= `(s) => {
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@@ -309,7 +308,7 @@ _∘_ : {A B C : U} -> (B -> C) -> (A -> B) -> A -> C
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pfunc addInt : Int → Int → Int := `(x,y) => x + y`
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pfunc mulInt : Int → Int → Int := `(x,y) => x * y`
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pfunc subInt : Int → Int → Int := `(x,y) => x - y`
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pfunc ltInt : Int → Int → Bool := `(x,y) => x < y ? True : False`
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pfunc ltInt uses (True False) : Int → Int → Bool := `(x,y) => x < y ? True : False`
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instance Mul Int where
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x * y = mulInt x y
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@@ -209,3 +209,33 @@ prod xs ys = do
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x <- xs
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y <- ys
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pure (x, y)
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-- The playground is compiling to javascript and will give an error if
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-- main isn't implemented, so I'll crib the definition of IO from
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-- Prelude:
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data Unit : U where
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MkUnit : Unit
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ptype World
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data IORes : U -> U where
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MkIORes : ∀ a. a -> World -> IORes a
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IO : U -> U
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IO a = World -> IORes a
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instance Monad IO where
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bind ma mab = \ w => case ma w of
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MkIORes a w => mab a w
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pure a = \ w => MkIORes a w
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-- Here we declare `uses` to let the dead code elimination know we're poking
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-- at MKIORes and MkUnit behind the compiler's back.
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pfunc putStrLn uses (MkIORes MkUnit) : String -> IO Unit := `(s) => (w) => {
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console.log(s)
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return MkIORes(undefined,MkUnit,w)
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}`
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main : IO Unit
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main = putStrLn "hello, world"
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