Merge pull request #8 from bachelor-group-66-systemf/prep-tc-merge

Add simple type checker and convert pipleline to use typed AST
This commit is contained in:
Samuel Hammersberg 2023-02-18 14:03:40 +00:00 committed by GitHub
commit 087850d1cf
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23 changed files with 1083 additions and 276 deletions

3
.gitignore vendored
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@ -3,4 +3,5 @@ dist-newstyle
*.x
*.bak
src/Grammar
/language
language
llvm.ll

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@ -1,20 +1,25 @@
Program. Program ::= [Bind];
EId. Exp3 ::= Ident;
EInt. Exp3 ::= Integer;
ELet. Exp3 ::= "let" [Bind] "in" Exp;
EAnn. Exp3 ::= "(" Exp ":" Type ")";
ELet. Exp3 ::= "let" Bind "in" Exp;
EApp. Exp2 ::= Exp2 Exp3;
EAdd. Exp1 ::= Exp1 "+" Exp2;
EAbs. Exp ::= "\\" Ident "." Exp;
EAbs. Exp ::= "\\" Ident ":" Type "." Exp;
Bind. Bind ::= Ident ":" Type ";"
Ident [Ident] "=" Exp;
Bind. Bind ::= Ident [Ident] "=" Exp;
separator Bind ";";
separator Ident " ";
separator Ident "";
coercions Exp 3;
TInt. Type1 ::= "Int" ;
TPol. Type1 ::= Ident ;
TFun. Type ::= Type1 "->" Type ;
coercions Type 1 ;
comment "--";
comment "{-" "-}";

2
cabal.project.local Normal file
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@ -0,0 +1,2 @@
ignore-project: False
tests: True

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@ -1,4 +1,4 @@
cabal-version: 3.0
cabal-version: 3.4
name: language
@ -12,18 +12,19 @@ build-type: Simple
extra-doc-files: CHANGELOG.md
extra-source-files:
Grammar.cf
common warnings
ghc-options: -Wall
ghc-options: -W
executable language
import: warnings
main-is: Main.hs
other-modules:
Grammar.Abs
Grammar.Lex
@ -33,8 +34,12 @@ executable language
Grammar.ErrM
LambdaLifter
Auxiliary
Interpreter
Renamer
TypeChecker
TypeCheckerIr
-- Interpreter
Compiler
LlvmIr
hs-source-dirs: src
build-depends:
@ -44,5 +49,4 @@ executable language
, either
, array
, extra
default-language: GHC2021

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@ -1,2 +1,21 @@
f = \x. x+1;
-- tripplemagic : Int -> Int -> Int -> Int;
-- tripplemagic x y z = ((\x:Int. x+x) x) + y + z;
-- main : Int;
-- main = tripplemagic ((\x:Int. x+x+3) ((\x:Int. x) 2)) 5 3
-- answer: 22
-- apply : (Int -> Int) -> Int -> Int;
-- apply f x = f x;
-- main : Int;
-- main = apply (\x : Int . x + 5) 5
-- answer: 10
apply : (Int -> Int -> Int) -> Int -> Int -> Int;
apply f x y = f x y;
krimp: Int -> Int -> Int;
krimp x y = x + y;
main : Int;
main = apply (krimp) 2 3;
-- answer: 5

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@ -1,4 +0,0 @@
add x = \y. x+y;
main = (\z. z+z) ((add 4) 6);

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@ -1,2 +0,0 @@
main = (\x. x+x+3) ((\x. x) 2)

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@ -1,2 +0,0 @@
f x = let g = (\y. y+1) in g (g x)

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@ -1,9 +0,0 @@
id x = x;
add x y = x + y;
double n = n + n;
apply f x = \y. f x y;
main = apply (id add) ((\x. x + 1) 1) (double 3);

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@ -1,3 +0,0 @@
f = \x.\y. x+y

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@ -1,5 +0,0 @@
add x y = x + y;
apply f x = f x;
main = apply (add 4) 6;

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@ -1,2 +0,0 @@
f x = let double = \y. y+y in (\x. x+y) 4;

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@ -1,4 +0,0 @@
main = (\f.\x.\y. f x + f y) (\x. x+x) ((\x. x+1) ((\x. x+3) 2)) 4

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@ -1,5 +1,5 @@
let
pkgs = import (fetchTarball https://github.com/NixOS/nixpkgs/archive/8c619a1f3cedd16ea172146e30645e703d21bfc1.tar.gz) { }; # pin the channel to ensure reproducibility!
pkgs = import (fetchTarball "https://github.com/NixOS/nixpkgs/archive/747927516efcb5e31ba03b7ff32f61f6d47e7d87.zip") { }; # pin the channel to ensure reproducibility!
in
pkgs.haskellPackages.developPackage {
root = ./.;

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@ -1,4 +1,4 @@
{-# LANGUAGE LambdaCase #-}
module Auxiliary (module Auxiliary) where
import Control.Monad.Error.Class (liftEither)
import Control.Monad.Except (MonadError)
@ -9,3 +9,13 @@ snoc x xs = xs ++ [x]
maybeToRightM :: MonadError l m => l -> Maybe r -> m r
maybeToRightM err = liftEither . maybeToRight err
mapAccumM :: Monad m => (s -> a -> m (s, b)) -> s -> [a] -> m (s, [b])
mapAccumM f = go
where
go acc = \case
[] -> pure (acc, [])
x:xs -> do
(acc', x') <- f acc x
(acc'', xs') <- go acc' xs
pure (acc'', x':xs')

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@ -0,0 +1,266 @@
{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE OverloadedStrings #-}
module Compiler (compile) where
import Auxiliary (snoc)
import Control.Monad.State (StateT, execStateT, gets, modify)
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Tuple.Extra (dupe, first, second)
import Grammar.ErrM (Err)
import LlvmIr (LLVMIr (..), LLVMType (..),
LLVMValue (..), Visibility (..),
llvmIrToString)
import TypeChecker (partitionType)
import TypeCheckerIr
-- | The record used as the code generator state
data CodeGenerator = CodeGenerator
{ instructions :: [LLVMIr]
, functions :: Map Id FunctionInfo
, variableCount :: Integer
}
-- | A state type synonym
type CompilerState a = StateT CodeGenerator Err a
data FunctionInfo = FunctionInfo
{ numArgs :: Int
, arguments :: [Id]
}
-- | Adds a instruction to the CodeGenerator state
emit :: LLVMIr -> CompilerState ()
emit l = modify $ \t -> t { instructions = snoc l $ instructions t }
-- | Increases the variable counter in the CodeGenerator state
increaseVarCount :: CompilerState ()
increaseVarCount = modify $ \t -> t { variableCount = variableCount t + 1 }
-- | Returns the variable count from the CodeGenerator state
getVarCount :: CompilerState Integer
getVarCount = gets variableCount
-- | Increases the variable count and returns it from the CodeGenerator state
getNewVar :: CompilerState Integer
getNewVar = increaseVarCount >> getVarCount
-- | Produces a map of functions infos from a list of binds,
-- which contains useful data for code generation.
getFunctions :: [Bind] -> Map Id FunctionInfo
getFunctions bs = Map.fromList $ map go bs
where
go (Bind id args _) =
(id, FunctionInfo { numArgs=length args, arguments=args })
initCodeGenerator :: [Bind] -> CodeGenerator
initCodeGenerator scs = CodeGenerator { instructions = defaultStart
, functions = getFunctions scs
, variableCount = 0
}
-- | Compiles an AST and produces a LLVM Ir string.
-- An easy way to actually "compile" this output is to
-- Simply pipe it to lli
compile :: Program -> Err String
compile (Program scs) = do
let codegen = initCodeGenerator scs
llvmIrToString . instructions <$> execStateT (compileScs scs) codegen
compileScs :: [Bind] -> CompilerState ()
compileScs [] = pure ()
compileScs (Bind (name, t) args exp : xs) = do
emit $ UnsafeRaw "\n"
emit . Comment $ show name <> ": " <> show exp
let args' = map (second type2LlvmType) args
emit $ Define (type2LlvmType t_return) name args'
functionBody <- exprToValue exp
if name == "main"
then mapM_ emit $ mainContent functionBody
else emit $ Ret I64 functionBody
emit DefineEnd
modify $ \s -> s { variableCount = 0 }
compileScs xs
where
t_return = snd $ partitionType (length args) t
mainContent :: LLVMValue -> [LLVMIr]
mainContent var =
[ UnsafeRaw $
"call i32 (ptr, ...) @printf(ptr noundef @.str, i64 noundef " <> show var <> ")\n"
, -- , SetVariable (Ident "p") (Icmp LLEq I64 (VInteger 2) (VInteger 2))
-- , BrCond (VIdent (Ident "p")) (Ident "b_1") (Ident "b_2")
-- , Label (Ident "b_1")
-- , UnsafeRaw
-- "call i32 (ptr, ...) @printf(ptr noundef @.str, i64 noundef 1)\n"
-- , Br (Ident "end")
-- , Label (Ident "b_2")
-- , UnsafeRaw
-- "call i32 (ptr, ...) @printf(ptr noundef @.str, i64 noundef 2)\n"
-- , Br (Ident "end")
-- , Label (Ident "end")
Ret I64 (VInteger 0)
]
defaultStart :: [LLVMIr]
defaultStart = [ UnsafeRaw "@.str = private unnamed_addr constant [3 x i8] c\"%i\n\", align 1\n"
, UnsafeRaw "declare i32 @printf(ptr noalias nocapture, ...)\n"
]
compileExp :: Exp -> CompilerState ()
compileExp = \case
EInt i -> emitInt i
EAdd t e1 e2 -> emitAdd t e1 e2
EId (name, _) -> emitIdent name
EApp t e1 e2 -> emitApp t e1 e2
EAbs t ti e -> emitAbs t ti e
ELet bind e -> emitLet bind e
--- aux functions ---
emitAbs :: Type -> Id -> Exp -> CompilerState ()
emitAbs _t tid e = emit . Comment $ "Lambda escaped previous stages: \\" <> show tid <> " . " <> show e
emitLet :: Bind -> Exp -> CompilerState ()
emitLet b e = emit . Comment $ concat [ "ELet ("
, show b
, " = "
, show e
, ") is not implemented!"
]
emitApp :: Type -> Exp -> Exp -> CompilerState ()
emitApp t e1 e2 = appEmitter t e1 e2 []
where
appEmitter :: Type -> Exp -> Exp -> [Exp] -> CompilerState ()
appEmitter t e1 e2 stack = do
let newStack = e2 : stack
case e1 of
EApp _ e1' e2' -> appEmitter t e1' e2' newStack
EId id@(name, _) -> do
args <- traverse exprToValue newStack
vs <- getNewVar
funcs <- gets functions
let visibility = maybe Local (const Global) $ Map.lookup id funcs
args' = map (first valueGetType . dupe) args
call = Call (type2LlvmType t) visibility name args'
emit $ SetVariable (Ident $ show vs) call
x -> do
emit . Comment $ "The unspeakable happened: "
emit . Comment $ show x
emitIdent :: Ident -> CompilerState ()
emitIdent id = do
-- !!this should never happen!!
emit $ Comment "This should not have happened!"
emit $ Variable id
emit $ UnsafeRaw "\n"
emitInt :: Integer -> CompilerState ()
emitInt i = do
-- !!this should never happen!!
varCount <- getNewVar
emit $ Comment "This should not have happened!"
emit $ SetVariable (Ident (show varCount)) (Add I64 (VInteger i) (VInteger 0))
emitAdd :: Type -> Exp -> Exp -> CompilerState ()
emitAdd t e1 e2 = do
v1 <- exprToValue e1
v2 <- exprToValue e2
v <- getNewVar
emit $ SetVariable (Ident $ show v) (Add (type2LlvmType t) v1 v2)
-- emitMul :: Exp -> Exp -> CompilerState ()
-- emitMul e1 e2 = do
-- (v1,v2) <- binExprToValues e1 e2
-- increaseVarCount
-- v <- gets variableCount
-- emit $ SetVariable $ Ident $ show v
-- emit $ Mul I64 v1 v2
-- emitMod :: Exp -> Exp -> CompilerState ()
-- emitMod e1 e2 = do
-- -- `let m a b = rem (abs $ b + a) b`
-- (v1,v2) <- binExprToValues e1 e2
-- increaseVarCount
-- vadd <- gets variableCount
-- emit $ SetVariable $ Ident $ show vadd
-- emit $ Add I64 v1 v2
--
-- increaseVarCount
-- vabs <- gets variableCount
-- emit $ SetVariable $ Ident $ show vabs
-- emit $ Call I64 (Ident "llvm.abs.i64")
-- [ (I64, VIdent (Ident $ show vadd))
-- , (I1, VInteger 1)
-- ]
-- increaseVarCount
-- v <- gets variableCount
-- emit $ SetVariable $ Ident $ show v
-- emit $ Srem I64 (VIdent (Ident $ show vabs)) v2
-- emitDiv :: Exp -> Exp -> CompilerState ()
-- emitDiv e1 e2 = do
-- (v1,v2) <- binExprToValues e1 e2
-- increaseVarCount
-- v <- gets variableCount
-- emit $ SetVariable $ Ident $ show v
-- emit $ Div I64 v1 v2
-- emitSub :: Exp -> Exp -> CompilerState ()
-- emitSub e1 e2 = do
-- (v1,v2) <- binExprToValues e1 e2
-- increaseVarCount
-- v <- gets variableCount
-- emit $ SetVariable $ Ident $ show v
-- emit $ Sub I64 v1 v2
exprToValue :: Exp -> CompilerState LLVMValue
exprToValue = \case
EInt i -> pure $ VInteger i
EId id@(name, t) -> do
funcs <- gets functions
case Map.lookup id funcs of
Just fi -> do
if numArgs fi == 0
then do
vc <- getNewVar
emit $ SetVariable (Ident $ show vc)
(Call (type2LlvmType t) Global name [])
pure $ VIdent (Ident $ show vc) (type2LlvmType t)
else pure $ VFunction name Global (type2LlvmType t)
Nothing -> pure $ VIdent name (type2LlvmType t)
e -> do
compileExp e
v <- getVarCount
pure $ VIdent (Ident $ show v) (getType e)
type2LlvmType :: Type -> LLVMType
type2LlvmType = \case
TInt -> I64
TFun t xs -> do
let (t', xs') = function2LLVMType xs [type2LlvmType t]
Function t' xs'
t -> CustomType $ Ident ("\"" ++ show t ++ "\"")
where
function2LLVMType :: Type -> [LLVMType] -> (LLVMType, [LLVMType])
function2LLVMType (TFun t xs) s = function2LLVMType xs (type2LlvmType t : s)
function2LLVMType x s = (type2LlvmType x, s)
getType :: Exp -> LLVMType
getType (EInt _) = I64
getType (EAdd t _ _) = type2LlvmType t
getType (EId (_, t)) = type2LlvmType t
getType (EApp t _ _) = type2LlvmType t
getType (EAbs t _ _) = type2LlvmType t
getType (ELet _ e) = getType e
valueGetType :: LLVMValue -> LLVMType
valueGetType (VInteger _) = I64
valueGetType (VIdent _ t) = t
valueGetType (VConstant s) = Array (length s) I8
valueGetType (VFunction _ _ t) = t

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@ -35,7 +35,6 @@ initCxt scs =
expandLambdas :: Bind -> Bind
expandLambdas (Bind name parms rhs) = Bind name [] $ foldr EAbs rhs parms
findMain :: [Bind] -> Err Exp
findMain [] = throwError "No main!"
findMain (sc:scs) = case sc of

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@ -5,21 +5,22 @@
module LambdaLifter (lambdaLift, freeVars, abstract, rename, collectScs) where
import Auxiliary (snoc)
import Data.Foldable.Extra (notNull)
import Data.List (mapAccumL, mapAccumR, partition)
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Maybe (fromMaybe, mapMaybe)
import Data.Set (Set, (\\))
import Control.Applicative (Applicative (liftA2))
import Control.Monad.State (MonadState (get, put), State, evalState)
import Data.Set (Set)
import qualified Data.Set as Set
import Data.Tuple.Extra (uncurry3)
import Grammar.Abs
import Prelude hiding (exp)
import Renamer
import TypeCheckerIr
-- | Lift lambdas and let expression into supercombinators.
-- Three phases:
-- @freeVars@ annotatss all the free variables.
-- @abstract@ converts lambdas into let expressions.
-- @collectScs@ moves every non-constant let expression to a top-level function.
lambdaLift :: Program -> Program
lambdaLift = collectScs . rename . abstract . freeVars
lambdaLift = collectScs . abstract . freeVars
-- | Annotate free variables
@ -28,242 +29,162 @@ freeVars (Program ds) = [ (n, xs, freeVarsExp (Set.fromList xs) e)
| Bind n xs e <- ds
]
freeVarsExp :: Set Ident -> Exp -> AnnExp
freeVarsExp :: Set Id -> Exp -> AnnExp
freeVarsExp localVars = \case
EId n | Set.member n localVars -> (Set.singleton n, AId n)
| otherwise -> (mempty, AId n)
EId n | Set.member n localVars -> (Set.singleton n, AId n)
| otherwise -> (mempty, AId n)
EInt i -> (mempty, AInt i)
EInt i -> (mempty, AInt i)
EApp t e1 e2 -> (Set.union (freeVarsOf e1') (freeVarsOf e2'), AApp t e1' e2')
where
e1' = freeVarsExp localVars e1
e2' = freeVarsExp localVars e2
EApp e1 e2 -> (Set.union (freeVarsOf e1') (freeVarsOf e2'), AApp e1' e2')
where
e1' = freeVarsExp localVars e1
e2' = freeVarsExp localVars e2
EAdd t e1 e2 -> (Set.union (freeVarsOf e1') (freeVarsOf e2'), AAdd t e1' e2')
where
e1' = freeVarsExp localVars e1
e2' = freeVarsExp localVars e2
EAdd e1 e2 -> (Set.union (freeVarsOf e1') (freeVarsOf e2'), AAdd e1' e2')
where
e1' = freeVarsExp localVars e1
e2' = freeVarsExp localVars e2
EAbs t par e -> (Set.delete par $ freeVarsOf e', AAbs t par e')
where
e' = freeVarsExp (Set.insert par localVars) e
EAbs par e -> (Set.delete par $ freeVarsOf e', AAbs par e')
where
e' = freeVarsExp (Set.insert par localVars) e
-- Sum free variables present in bind and the expression
ELet (Bind name parms rhs) e -> (Set.union binders_frees e_free, ALet new_bind e')
where
binders_frees = Set.delete name $ freeVarsOf rhs'
e_free = Set.delete name $ freeVarsOf e'
-- Sum free variables present in binders and the expression
ELet binders e -> (Set.union binders_frees e_free, ALet binders' e')
where
binders_frees = rhss_frees \\ names_set
e_free = freeVarsOf e' \\ names_set
rhs' = freeVarsExp e_localVars rhs
new_bind = ABind name parms rhs'
rhss_frees = foldr1 Set.union (map freeVarsOf rhss')
names_set = Set.fromList names
(names, parms, rhss) = fromBinders binders
rhss' = map (freeVarsExp e_localVars) rhss
e_localVars = Set.union localVars names_set
binders' = zipWith3 ABind names parms rhss'
e' = freeVarsExp e_localVars e
e' = freeVarsExp e_localVars e
e_localVars = Set.insert name localVars
freeVarsOf :: AnnExp -> Set Ident
freeVarsOf :: AnnExp -> Set Id
freeVarsOf = fst
fromBinders :: [Bind] -> ([Ident], [[Ident]], [Exp])
fromBinders bs = unzip3 [ (name, parms, rhs) | Bind name parms rhs <- bs ]
-- AST annotated with free variables
type AnnProgram = [(Ident, [Ident], AnnExp)]
type AnnProgram = [(Id, [Id], AnnExp)]
type AnnExp = (Set Ident, AnnExp')
type AnnExp = (Set Id, AnnExp')
data ABind = ABind Ident [Ident] AnnExp deriving Show
data ABind = ABind Id [Id] AnnExp deriving Show
data AnnExp' = AId Ident
data AnnExp' = AId Id
| AInt Integer
| AApp AnnExp AnnExp
| AAdd AnnExp AnnExp
| AAbs Ident AnnExp
| ALet [ABind] AnnExp
| ALet ABind AnnExp
| AApp Type AnnExp AnnExp
| AAdd Type AnnExp AnnExp
| AAbs Type Id AnnExp
deriving Show
-- | Lift lambdas to let expression of the form @let sc = \v₁ x₁ -> e₁@.
-- Free variables are @v₁ v₂ .. vₙ@ are bound.
abstract :: AnnProgram -> Program
abstract prog = Program $ map go prog
abstract prog = Program $ evalState (mapM go prog) 0
where
go :: (Ident, [Ident], AnnExp) -> Bind
go (name, pars, rhs@(_, e)) =
case e of
AAbs par e1 -> Bind name (snoc par pars ++ pars2) $ abstractExp e2
where
(e2, pars2) = flattenLambdasAnn e1
_ -> Bind name pars $ abstractExp rhs
go :: (Id, [Id], AnnExp) -> State Int Bind
go (name, parms, rhs) = Bind name (parms ++ parms1) <$> abstractExp rhs'
where
(rhs', parms1) = flattenLambdasAnn rhs
-- | Flatten nested lambdas and collect the parameters
-- @\x.\y.\z. ae → (ae, [x,y,z])@
flattenLambdasAnn :: AnnExp -> (AnnExp, [Ident])
flattenLambdasAnn :: AnnExp -> (AnnExp, [Id])
flattenLambdasAnn ae = go (ae, [])
where
go :: (AnnExp, [Ident]) -> (AnnExp, [Ident])
go :: (AnnExp, [Id]) -> (AnnExp, [Id])
go ((free, e), acc) =
case e of
AAbs par (free1, e1) -> go ((Set.delete par free1, e1), snoc par acc)
_ -> ((free, e), acc)
case e of
AAbs _ par (free1, e1) ->
go ((Set.delete par free1, e1), snoc par acc)
_ -> ((free, e), acc)
abstractExp :: AnnExp -> Exp
abstractExp :: AnnExp -> State Int Exp
abstractExp (free, exp) = case exp of
AId n -> EId n
AInt i -> EInt i
AApp e1 e2 -> EApp (abstractExp e1) (abstractExp e2)
AAdd e1 e2 -> EAdd (abstractExp e1) (abstractExp e2)
ALet bs e -> ELet (map go bs) $ abstractExp e
where
go (ABind name parms rhs) =
let
(rhs', parms1) = flattenLambdas $ skipLambdas abstractExp rhs
in
Bind name (parms ++ parms1) rhs'
skipLambdas :: (AnnExp -> Exp) -> AnnExp -> Exp
skipLambdas f (free, ae) = case ae of
AAbs name ae1 -> EAbs name $ skipLambdas f ae1
_ -> f (free, ae)
-- Lift lambda into let and bind free variables
AAbs par e -> foldl EApp sc $ map EId freeList
where
freeList = Set.toList free
sc = ELet [Bind "sc" (snoc par freeList) $ abstractExp e] $ EId "sc"
-- | Rename all supercombinators and variables
rename :: Program -> Program
rename (Program ds) = Program $ map (uncurry3 Bind) tuples
where
tuples = snd (mapAccumL renameSc 0 ds)
renameSc i (Bind n xs e) = (i2, (n, xs', e'))
AId n -> pure $ EId n
AInt i -> pure $ EInt i
AApp t e1 e2 -> liftA2 (EApp t) (abstractExp e1) (abstractExp e2)
AAdd t e1 e2 -> liftA2 (EAdd t) (abstractExp e1) (abstractExp e2)
ALet b e -> liftA2 ELet (go b) (abstractExp e)
where
(i1, xs', env) = newNames i xs
(i2, e') = renameExp env i1 e
go (ABind name parms rhs) = do
(rhs', parms1) <- flattenLambdas <$> skipLambdas abstractExp rhs
pure $ Bind name (parms ++ parms1) rhs'
renameExp :: Map Ident Ident -> Int -> Exp -> (Int, Exp)
renameExp env i = \case
skipLambdas :: (AnnExp -> State Int Exp) -> AnnExp -> State Int Exp
skipLambdas f (free, ae) = case ae of
AAbs t par ae1 -> EAbs t par <$> skipLambdas f ae1
_ -> f (free, ae)
EId n -> (i, EId . fromMaybe n $ Map.lookup n env)
-- Lift lambda into let and bind free variables
AAbs t parm e -> do
i <- nextNumber
rhs <- abstractExp e
EInt i1 -> (i, EInt i1)
let sc_name = Ident ("sc_" ++ show i)
sc = ELet (Bind (sc_name, t) parms rhs) $ EId (sc_name, t)
EApp e1 e2 -> (i2, EApp e1' e2')
where
(i1, e1') = renameExp env i e1
(i2, e2') = renameExp env i1 e2
EAdd e1 e2 -> (i2, EAdd e1' e2')
where
(i1, e1') = renameExp env i e1
(i2, e2') = renameExp env i1 e2
ELet bs e -> (i3, ELet (zipWith3 Bind ns' pars' es') e')
where
(i1, e') = renameExp e_env i e
(names, pars, rhss) = fromBinders bs
(i2, ns', env') = newNames i1 (names ++ concat pars)
pars' = (map . map) renamePar pars
e_env = Map.union env' env
(i3, es') = mapAccumL (renameExp e_env) i2 rhss
renamePar p = case Map.lookup p env' of
Just p' -> p'
Nothing -> error ("Can't find name for " ++ show p)
pure $ foldl (EApp TInt) sc $ map EId freeList
where
freeList = Set.toList free
parms = snoc parm freeList
EAbs par e -> (i2, EAbs par' e')
where
(i1, par', env') = newName par
(i2, e') = renameExp (Map.union env' env ) i1 e
nextNumber :: State Int Int
nextNumber = do
i <- get
put $ succ i
pure i
newName :: Ident -> (Int, Ident, Map Ident Ident)
newName old_name = (i, head names, env)
where (i, names, env) = newNames 1 [old_name]
newNames :: Int -> [Ident] -> (Int, [Ident], Map Ident Ident)
newNames i old_names = (i', new_names, env)
where
(i', new_names) = getNames i old_names
env = Map.fromList $ zip old_names new_names
getNames :: Int -> [Ident] -> (Int, [Ident])
getNames i ns = (i + length ss, zipWith makeName ss [i..])
where
ss = map (\(Ident s) -> s) ns
makeName :: String -> Int -> Ident
makeName prefix i = Ident (prefix ++ "_" ++ show i)
-- | Collects supercombinators by lifting appropriate let expressions
-- | Collects supercombinators by lifting non-constant let expressions
collectScs :: Program -> Program
collectScs (Program scs) = Program $ concatMap collectFromRhs scs
where
collectFromRhs (Bind name parms rhs) =
let (rhs_scs, rhs') = collectScsExp rhs
in Bind name parms rhs' : rhs_scs
let (rhs_scs, rhs') = collectScsExp rhs
in Bind name parms rhs' : rhs_scs
collectScsExp :: Exp -> ([Bind], Exp)
collectScsExp = \case
EId n -> ([], EId n)
EInt i -> ([], EInt i)
EId n -> ([], EId n)
EInt i -> ([], EInt i)
EApp e1 e2 -> (scs1 ++ scs2, EApp e1' e2')
where
(scs1, e1') = collectScsExp e1
(scs2, e2') = collectScsExp e2
EApp t e1 e2 -> (scs1 ++ scs2, EApp t e1' e2')
where
(scs1, e1') = collectScsExp e1
(scs2, e2') = collectScsExp e2
EAdd e1 e2 -> (scs1 ++ scs2, EAdd e1' e2')
where
(scs1, e1') = collectScsExp e1
(scs2, e2') = collectScsExp e2
EAdd t e1 e2 -> (scs1 ++ scs2, EAdd t e1' e2')
where
(scs1, e1') = collectScsExp e1
(scs2, e2') = collectScsExp e2
EAbs x e -> (scs, EAbs x e')
where
(scs, e') = collectScsExp e
EAbs t par e -> (scs, EAbs t par e')
where
(scs, e') = collectScsExp e
-- Collect supercombinators from binds, the rhss, and the expression.
--
-- > f = let
-- > sc = rhs
-- > sc1 = rhs1
-- > ...
-- > in e
--
ELet binds e -> (binds_scs ++ rhss_scs ++ e_scs, mkEAbs non_scs' e')
where
binds_scs = [ let (rhs', parms1) = flattenLambdas rhs in
Bind n (parms ++ parms1) rhs'
| Bind n parms rhs <- scs'
]
(rhss_scs, binds') = mapAccumL collectScsRhs [] binds
(e_scs, e') = collectScsExp e
-- Collect supercombinators from bind, the rhss, and the expression.
--
-- > f = let sc x y = rhs in e
--
ELet (Bind name parms rhs) e -> if null parms
then ( rhs_scs ++ e_scs, ELet bind e')
else (bind : rhs_scs ++ e_scs, e')
where
bind = Bind name parms rhs'
(rhs_scs, rhs') = collectScsExp rhs
(e_scs, e') = collectScsExp e
(scs', non_scs') = partition (\(Bind _ pars _) -> notNull pars) binds'
collectScsRhs acc (Bind n xs rhs) = (acc ++ rhs_scs, Bind n xs rhs')
where
(rhs_scs, rhs') = collectScsExp rhs
-- @\x.\y.\z. e → (e, [x,y,z])@
flattenLambdas :: Exp -> (Exp, [Ident])
flattenLambdas e = go (e, [])
flattenLambdas :: Exp -> (Exp, [Id])
flattenLambdas = go . (, [])
where
go (e, acc) = case e of
EAbs par e1 -> go (e1, snoc par acc)
_ -> (e, acc)
mkEAbs :: [Bind] -> Exp -> Exp
mkEAbs [] e = e
mkEAbs bs e = ELet bs e
EAbs _ par e1 -> go (e1, snoc par acc)
_ -> (e, acc)

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{-# LANGUAGE LambdaCase #-}
module LlvmIr (
LLVMType (..),
LLVMIr (..),
llvmIrToString,
LLVMValue (..),
LLVMComp (..),
Visibility (..),
) where
import Data.List (intercalate)
import TypeCheckerIr
-- | A datatype which represents some basic LLVM types
data LLVMType
= I1
| I8
| I32
| I64
| Ptr
| Ref LLVMType
| Function LLVMType [LLVMType]
| Array Int LLVMType
| CustomType Ident
instance Show LLVMType where
show :: LLVMType -> String
show = \case
I1 -> "i1"
I8 -> "i8"
I32 -> "i32"
I64 -> "i64"
Ptr -> "ptr"
Ref ty -> show ty <> "*"
Function t xs -> show t <> " (" <> intercalate ", " (map show xs) <> ")*"
Array n ty -> concat ["[", show n, " x ", show ty, "]"]
CustomType (Ident ty) -> ty
data LLVMComp
= LLEq
| LLNe
| LLUgt
| LLUge
| LLUlt
| LLUle
| LLSgt
| LLSge
| LLSlt
| LLSle
instance Show LLVMComp where
show :: LLVMComp -> String
show = \case
LLEq -> "eq"
LLNe -> "ne"
LLUgt -> "ugt"
LLUge -> "uge"
LLUlt -> "ult"
LLUle -> "ule"
LLSgt -> "sgt"
LLSge -> "sge"
LLSlt -> "slt"
LLSle -> "sle"
data Visibility = Local | Global
instance Show Visibility where
show :: Visibility -> String
show Local = "%"
show Global = "@"
-- | Represents a LLVM "value", as in an integer, a register variable,
-- or a string contstant
data LLVMValue
= VInteger Integer
| VIdent Ident LLVMType
| VConstant String
| VFunction Ident Visibility LLVMType
instance Show LLVMValue where
show :: LLVMValue -> String
show v = case v of
VInteger i -> show i
VIdent (Ident n) _ -> "%" <> n
VFunction (Ident n) vis _ -> show vis <> n
VConstant s -> "c" <> show s
type Params = [(Ident, LLVMType)]
type Args = [(LLVMType, LLVMValue)]
-- | A datatype which represents different instructions in LLVM
data LLVMIr
= Define LLVMType Ident Params
| DefineEnd
| Declare LLVMType Ident Params
| SetVariable Ident LLVMIr
| Variable Ident
| Add LLVMType LLVMValue LLVMValue
| Sub LLVMType LLVMValue LLVMValue
| Div LLVMType LLVMValue LLVMValue
| Mul LLVMType LLVMValue LLVMValue
| Srem LLVMType LLVMValue LLVMValue
| Icmp LLVMComp LLVMType LLVMValue LLVMValue
| Br Ident
| BrCond LLVMValue Ident Ident
| Label Ident
| Call LLVMType Visibility Ident Args
| Alloca LLVMType
| Store LLVMType Ident LLVMType Ident
| Bitcast LLVMType Ident LLVMType
| Ret LLVMType LLVMValue
| Comment String
| UnsafeRaw String -- This should generally be avoided, and proper
-- instructions should be used in its place
deriving (Show)
-- | Converts a list of LLVMIr instructions to a string
llvmIrToString :: [LLVMIr] -> String
llvmIrToString = go 0
where
go :: Int -> [LLVMIr] -> String
go _ [] = mempty
go i (x : xs) = do
let (i', n) = case x of
Define{} -> (i + 1, 0)
DefineEnd -> (i - 1, 0)
_ -> (i, i)
insToString n x <> go i' xs
-- | Converts a LLVM inststruction to a String, allowing for printing etc.
-- The integer represents the indentation
insToString :: Int -> LLVMIr -> String
insToString i l =
replicate i '\t' <> case l of
(Define t (Ident i) params) ->
concat
[ "define ", show t, " @", i
, "(", intercalate ", " (map (\(Ident y, x) -> unwords [show x, "%" <> y]) params)
, ") {\n"
]
DefineEnd -> "}\n"
(Declare _t (Ident _i) _params) -> undefined
(SetVariable (Ident i) ir) -> concat ["%", i, " = ", insToString 0 ir]
(Add t v1 v2) ->
concat
[ "add ", show t, " ", show v1
, ", ", show v2, "\n"
]
(Sub t v1 v2) ->
concat
[ "sub ", show t, " ", show v1, ", "
, show v2, "\n"
]
(Div t v1 v2) ->
concat
[ "sdiv ", show t, " ", show v1, ", "
, show v2, "\n"
]
(Mul t v1 v2) ->
concat
[ "mul ", show t, " ", show v1
, ", ", show v2, "\n"
]
(Srem t v1 v2) ->
concat
[ "srem ", show t, " ", show v1, ", "
, show v2, "\n"
]
(Call t vis (Ident i) arg) ->
concat
[ "call ", show t, " ", show vis, i, "("
, intercalate ", " $ Prelude.map (\(x, y) -> show x <> " " <> show y) arg
, ")\n"
]
(Alloca t) -> unwords ["alloca", show t, "\n"]
(Store t1 (Ident id1) t2 (Ident id2)) ->
concat
[ "store ", show t1, " %", id1
, ", ", show t2 , " %", id2, "\n"
]
(Bitcast t1 (Ident i) t2) ->
concat
[ "bitcast ", show t1, " %"
, i, " to ", show t2, "\n"
]
(Icmp comp t v1 v2) ->
concat
[ "icmp ", show comp, " ", show t
, " ", show v1, ", ", show v2, "\n"
]
(Ret t v) ->
concat
[ "ret ", show t, " "
, show v, "\n"
]
(UnsafeRaw s) -> s
(Label (Ident s)) -> "\nlabel_" <> s <> ":\n"
(Br (Ident s)) -> "br label %label_" <> s <> "\n"
(BrCond val (Ident s1) (Ident s2)) ->
concat
[ "br i1 ", show val, ", ", "label %"
, "label_", s1, ", ", "label %", "label_", s2, "\n"
]
(Comment s) -> "; " <> s <> "\n"
(Variable (Ident id)) -> "%" <> id

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@ -1,52 +1,97 @@
{-# LANGUAGE LambdaCase #-}
module Main where
import Grammar.ErrM (Err)
import Grammar.Par (myLexer, pProgram)
import Grammar.Print (printTree)
import Interpreter (interpret)
import LambdaLifter (abstract, freeVars, lambdaLift)
import System.Environment (getArgs)
import System.Exit (exitFailure, exitSuccess)
import Compiler (compile)
import GHC.IO.Handle.Text (hPutStrLn)
import Grammar.ErrM (Err)
import Grammar.Par (myLexer, pProgram)
import Grammar.Print (printTree)
-- import Interpreter (interpret)
import LambdaLifter (lambdaLift)
import Renamer (rename)
import System.Environment (getArgs)
import System.Exit (exitFailure, exitSuccess)
import System.IO (stderr)
import TypeChecker (typecheck)
main :: IO ()
main = getArgs >>= \case
[] -> print "Required file path missing"
(s:_) -> main' s
main =
getArgs >>= \case
[] -> print "Required file path missing"
(s : _) -> main' s
main' :: String -> IO ()
main' s = do
file <- readFile s
file <- readFile s
putStrLn "\n-- parse"
parsed <- fromSyntaxErr . pProgram $ myLexer file
putStrLn $ printTree parsed
printToErr "-- Parse Tree -- "
parsed <- fromSyntaxErr . pProgram $ myLexer file
printToErr $ printTree parsed
putStrLn "\n-- Lambda Lifter"
let lifted = lambdaLift parsed
putStrLn $ printTree lifted
printToErr "\n-- Renamer --"
let renamed = rename parsed
printToErr $ printTree renamed
-- interpred <- fromInterpreterErr $ interpret lifted
-- putStrLn "\n-- interpret"
-- print interpred
printToErr "\n-- TypeChecker --"
typechecked <- fromTypeCheckerErr $ typecheck renamed
printToErr $ printTree typechecked
exitSuccess
printToErr "\n-- Lambda Lifter --"
let lifted = lambdaLift typechecked
printToErr $ printTree lifted
printToErr "\n -- Printing compiler output to stdout --"
compiled <- fromCompilerErr $ compile lifted
putStrLn compiled
writeFile "llvm.ll" compiled
-- interpred <- fromInterpreterErr $ interpret lifted
-- putStrLn "\n-- interpret"
-- print interpred
exitSuccess
printToErr :: String -> IO ()
printToErr = hPutStrLn stderr
fromCompilerErr :: Err a -> IO a
fromCompilerErr =
either
( \err -> do
putStrLn "\nCOMPILER ERROR"
putStrLn err
exitFailure
)
pure
fromSyntaxErr :: Err a -> IO a
fromSyntaxErr = either
(\err -> do
putStrLn "\nSYNTAX ERROR"
putStrLn err
exitFailure)
pure
fromSyntaxErr =
either
( \err -> do
putStrLn "\nSYNTAX ERROR"
putStrLn err
exitFailure
)
pure
fromTypeCheckerErr :: Err a -> IO a
fromTypeCheckerErr =
either
( \err -> do
putStrLn "\nTYPECHECKER ERROR"
putStrLn err
exitFailure
)
pure
fromInterpreterErr :: Err a -> IO a
fromInterpreterErr = either
(\err -> do
putStrLn "\nINTERPRETER ERROR"
putStrLn err
exitFailure)
pure
fromInterpreterErr =
either
( \err -> do
putStrLn "\nINTERPRETER ERROR"
putStrLn err
exitFailure
)
pure

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{-# LANGUAGE LambdaCase #-}
module Renamer (module Renamer) where
import Auxiliary (mapAccumM)
import Control.Monad.State (MonadState, State, evalState, gets,
modify)
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Maybe (fromMaybe)
import Data.Tuple.Extra (dupe)
import Grammar.Abs
-- | Rename all variables and local binds
rename :: Program -> Program
rename (Program bs) = Program $ evalState (runRn $ mapM (renameSc initNames) bs) 0
where
initNames = Map.fromList $ map (\(Bind name _ _ _ _) -> dupe name) bs
renameSc :: Names -> Bind -> Rn Bind
renameSc old_names (Bind name t _ parms rhs) = do
(new_names, parms') <- newNames old_names parms
rhs' <- snd <$> renameExp new_names rhs
pure $ Bind name t name parms' rhs'
-- | Rename monad. State holds the number of renamed names.
newtype Rn a = Rn { runRn :: State Int a }
deriving (Functor, Applicative, Monad, MonadState Int)
-- | Maps old to new name
type Names = Map Ident Ident
renameLocalBind :: Names -> Bind -> Rn (Names, Bind)
renameLocalBind old_names (Bind name t _ parms rhs) = do
(new_names, name') <- newName old_names name
(new_names', parms') <- newNames new_names parms
(new_names'', rhs') <- renameExp new_names' rhs
pure (new_names'', Bind name' t name' parms' rhs')
renameExp :: Names -> Exp -> Rn (Names, Exp)
renameExp old_names = \case
EId n -> pure (old_names, EId . fromMaybe n $ Map.lookup n old_names)
EInt i1 -> pure (old_names, EInt i1)
EApp e1 e2 -> do
(env1, e1') <- renameExp old_names e1
(env2, e2') <- renameExp old_names e2
pure (Map.union env1 env2, EApp e1' e2')
EAdd e1 e2 -> do
(env1, e1') <- renameExp old_names e1
(env2, e2') <- renameExp old_names e2
pure (Map.union env1 env2, EAdd e1' e2')
ELet b e -> do
(new_names, b) <- renameLocalBind old_names b
(new_names', e') <- renameExp new_names e
pure (new_names', ELet b e')
EAbs par t e -> do
(new_names, par') <- newName old_names par
(new_names', e') <- renameExp new_names e
pure (new_names', EAbs par' t e')
EAnn e t -> do
(new_names, e') <- renameExp old_names e
pure (new_names, EAnn e' t)
-- | Create a new name and add it to name environment.
newName :: Names -> Ident -> Rn (Names, Ident)
newName env old_name = do
new_name <- makeName old_name
pure (Map.insert old_name new_name env, new_name)
-- | Create multiple names and add them to the name environment
newNames :: Names -> [Ident] -> Rn (Names, [Ident])
newNames = mapAccumM newName
-- | Annotate name with number and increment the number @prefix ⇒ prefix_number@.
makeName :: Ident -> Rn Ident
makeName (Ident prefix) = gets (\i -> Ident $ prefix ++ "_" ++ show i) <* modify succ

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{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE OverloadedRecordDot #-}
module TypeChecker (typecheck, partitionType) where
import Auxiliary (maybeToRightM, snoc)
import Control.Monad.Except (throwError, unless)
import Data.Map (Map)
import qualified Data.Map as Map
import Grammar.Abs
import Grammar.ErrM (Err)
import Grammar.Print (Print (prt), concatD, doc, printTree,
render)
import Prelude hiding (exp, id)
import qualified TypeCheckerIr as T
-- NOTE: this type checker is poorly tested
-- TODO
-- Coercion
-- Type inference
data Cxt = Cxt
{ env :: Map Ident Type -- ^ Local scope signature
, sig :: Map Ident Type -- ^ Top-level signatures
}
initCxt :: [Bind] -> Cxt
initCxt sc = Cxt { env = mempty
, sig = Map.fromList $ map (\(Bind n t _ _ _) -> (n, t)) sc
}
typecheck :: Program -> Err T.Program
typecheck (Program sc) = T.Program <$> mapM (checkBind $ initCxt sc) sc
-- | Check if infered rhs type matches type signature.
checkBind :: Cxt -> Bind -> Err T.Bind
checkBind cxt b =
case expandLambdas b of
Bind name t _ parms rhs -> do
(rhs', t_rhs) <- infer cxt rhs
unless (typeEq t_rhs t) . throwError $ typeErr name t t_rhs
pure $ T.Bind (name, t) (zip parms ts_parms) rhs'
where
ts_parms = fst $ partitionType (length parms) t
-- | @ f x y = rhs ⇒ f = \x.\y. rhs @
expandLambdas :: Bind -> Bind
expandLambdas (Bind name t _ parms rhs) = Bind name t name [] rhs'
where
rhs' = foldr ($) rhs $ zipWith EAbs parms ts_parms
ts_parms = fst $ partitionType (length parms) t
-- | Infer type of expression.
infer :: Cxt -> Exp -> Err (T.Exp, Type)
infer cxt = \case
EId x ->
case lookupEnv x cxt of
Nothing ->
case lookupSig x cxt of
Nothing -> throwError ("Unbound variable:" ++ printTree x)
Just t -> pure (T.EId (x, t), t)
Just t -> pure (T.EId (x, t), t)
EInt i -> pure (T.EInt i, T.TInt)
EApp e e1 -> do
(e', t) <- infer cxt e
case t of
TFun t1 t2 -> do
e1' <- check cxt e1 t1
pure (T.EApp t2 e' e1', t2)
_ -> do
throwError ("Not a function: " ++ show e)
EAdd e e1 -> do
e' <- check cxt e T.TInt
e1' <- check cxt e1 T.TInt
pure (T.EAdd T.TInt e' e1', T.TInt)
EAbs x t e -> do
(e', t1) <- infer (insertEnv x t cxt) e
let t_abs = TFun t t1
pure (T.EAbs t_abs (x, t) e', t_abs)
ELet b e -> do
let cxt' = insertBind b cxt
b' <- checkBind cxt' b
(e', t) <- infer cxt' e
pure (T.ELet b' e', t)
EAnn e t -> do
(e', t1) <- infer cxt e
unless (typeEq t t1) $
throwError "Inferred type and type annotation doesn't match"
pure (e', t1)
-- | Check infered type matches the supplied type.
check :: Cxt -> Exp -> Type -> Err T.Exp
check cxt exp typ = case exp of
EId x -> do
t <- case lookupEnv x cxt of
Nothing -> maybeToRightM
("Unbound variable:" ++ printTree x)
(lookupSig x cxt)
Just t -> pure t
unless (typeEq t typ) . throwError $ typeErr x typ t
pure $ T.EId (x, t)
EInt i -> do
unless (typeEq typ TInt) $ throwError $ typeErr i TInt typ
pure $ T.EInt i
EApp e e1 -> do
(e', t) <- infer cxt e
case t of
TFun t1 t2 -> do
e1' <- check cxt e1 t1
pure $ T.EApp t2 e' e1'
_ -> throwError ("Not a function 2: " ++ printTree e)
EAdd e e1 -> do
e' <- check cxt e T.TInt
e1' <- check cxt e1 T.TInt
pure $ T.EAdd T.TInt e' e1'
EAbs x t e -> do
(e', t_e) <- infer (insertEnv x t cxt) e
let t1 = TFun t t_e
unless (typeEq t1 typ) $ throwError "Wrong lamda type!"
pure $ T.EAbs t1 (x, t) e'
ELet b e -> do
let cxt' = insertBind b cxt
b' <- checkBind cxt' b
e' <- check cxt' e typ
pure $ T.ELet b' e'
EAnn e t -> do
unless (typeEq t typ) $
throwError "Inferred type and type annotation doesn't match"
check cxt e t
-- | Check if types are equivalent. Doesn't handle coercion or polymorphism.
typeEq :: Type -> Type -> Bool
typeEq (TFun t t1) (TFun q q1) = typeEq t q && typeEq t1 q1
typeEq t t1 = t == t1
-- | Partion type into types of parameters and return type.
partitionType :: Int -- Number of parameters to apply
-> Type
-> ([Type], Type)
partitionType = go []
where
go acc 0 t = (acc, t)
go acc i t = case t of
TFun t1 t2 -> go (snoc t1 acc) (i - 1) t2
_ -> error "Number of parameters and type doesn't match"
insertBind :: Bind -> Cxt -> Cxt
insertBind (Bind n t _ _ _) = insertEnv n t
lookupEnv :: Ident -> Cxt -> Maybe Type
lookupEnv x = Map.lookup x . env
insertEnv :: Ident -> Type -> Cxt -> Cxt
insertEnv x t cxt = cxt { env = Map.insert x t cxt.env }
lookupSig :: Ident -> Cxt -> Maybe Type
lookupSig x = Map.lookup x . sig
typeErr :: Print a => a -> Type -> Type -> String
typeErr p expected actual = render $ concatD
[ doc $ showString "Wrong type:", prt 0 p , doc $ showString "\n"
, doc $ showString "Expected:" , prt 0 expected, doc $ showString "\n"
, doc $ showString "Actual: " , prt 0 actual
]

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{-# LANGUAGE LambdaCase #-}
module TypeCheckerIr
( module Grammar.Abs
, module TypeCheckerIr
) where
import Grammar.Abs (Ident (..), Type (..))
import Grammar.Print
import Prelude
import qualified Prelude as C (Eq, Ord, Read, Show)
newtype Program = Program [Bind]
deriving (C.Eq, C.Ord, C.Show, C.Read)
data Exp
= EId Id
| EInt Integer
| ELet Bind Exp
| EApp Type Exp Exp
| EAdd Type Exp Exp
| EAbs Type Id Exp
deriving (C.Eq, C.Ord, C.Show, C.Read)
type Id = (Ident, Type)
data Bind = Bind Id [Id] Exp
deriving (C.Eq, C.Ord, C.Show, C.Read)
instance Print Program where
prt i (Program sc) = prPrec i 0 $ prt 0 sc
instance Print Bind where
prt i (Bind name@(n, _) parms rhs) = prPrec i 0 $ concatD
[ prtId 0 name
, doc $ showString ";"
, prt 0 n
, prtIdPs 0 parms
, doc $ showString "="
, prt 0 rhs
]
instance Print [Bind] where
prt _ [] = concatD []
prt _ [x] = concatD [prt 0 x]
prt _ (x:xs) = concatD [prt 0 x, doc (showString ";"), prt 0 xs]
prtIdPs :: Int -> [Id] -> Doc
prtIdPs i = prPrec i 0 . concatD . map (prtIdP i)
prtId :: Int -> Id -> Doc
prtId i (name, t) = prPrec i 0 $ concatD
[ prt 0 name
, doc $ showString ":"
, prt 0 t
]
prtIdP :: Int -> Id -> Doc
prtIdP i (name, t) = prPrec i 0 $ concatD
[ doc $ showString "("
, prt 0 name
, doc $ showString ":"
, prt 0 t
, doc $ showString ")"
]
instance Print Exp where
prt i = \case
EId n -> prPrec i 3 $ concatD [prtIdP 0 n]
EInt i1 -> prPrec i 3 $ concatD [prt 0 i1]
ELet bs e -> prPrec i 3 $ concatD
[ doc $ showString "let"
, prt 0 bs
, doc $ showString "in"
, prt 0 e
]
EApp t e1 e2 -> prPrec i 2 $ concatD
[ doc $ showString "@"
, prt 0 t
, prt 2 e1
, prt 3 e2
]
EAdd t e1 e2 -> prPrec i 1 $ concatD
[ doc $ showString "@"
, prt 0 t
, prt 1 e1
, doc $ showString "+"
, prt 2 e2
]
EAbs t n e -> prPrec i 0 $ concatD
[ doc $ showString "@"
, prt 0 t
, doc $ showString "\\"
, prtIdP 0 n
, doc $ showString "."
, prt 0 e
]