Prototyping a small subset of Luau in Agda (#350)

* First cut reading JSON into an Agda representation of Luau syntax
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Alan Jeffrey 2022-02-08 18:26:58 -06:00 committed by GitHub
parent 324bc4b01d
commit 041838a942
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22 changed files with 587 additions and 0 deletions

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.github/workflows/prototyping.yml vendored Normal file
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name: prototyping
on:
push:
branches:
- 'master'
paths:
- '.github/workflows/**'
- 'prototyping/**'
pull_request:
paths:
- '.github/workflows/**'
- 'prototyping/**'
jobs:
linux:
strategy:
matrix:
agda: [2.6.2.1]
name: prototyping
runs-on: ubuntu-latest
steps:
- uses: actions/checkout@v1
- uses: actions/cache@v2
with:
path: ~/.cabal/store
key: prototyping-${{ runner.os }}-${{ matrix.agda }}
- name: install cabal
run: sudo apt-get install -y cabal-install
- name: cabal update
working-directory: prototyping
run: cabal update
- name: cabal install
working-directory: prototyping
run: |
cabal install Agda-${{ matrix.agda }}
cabal install --lib scientific --package-env .
cabal install --lib vector --package-env .
cabal install --lib aeson --package-env .
- name: check examples
working-directory: prototyping
run: ~/.cabal/bin/agda Examples.agda
- name: build PrettyPrinter
working-directory: prototyping
run: ~/.cabal/bin/agda --compile --ghc-flag=-v PrettyPrinter.agda
- name: cmake configure
run: cmake .
- name: cmake build luau-ast
run: cmake --build . --target Luau.Ast.CLI
- name: run smoketest
working-directory: prototyping
run: ../luau-ast Examples/SmokeTest.lua | ./PrettyPrinter > Examples/SmokeTestOutput.lua
- name: diff smoketest
working-directory: prototyping
run: diff Examples/SmokeTest.lua Examples/SmokeTestOutput.lua

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prototyping/.gitignore vendored Normal file
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*~
*.agdai
Main
MAlonzo
PrettyPrinter
.ghc.*

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module Examples where
import Examples.Syntax

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local function id(x)
return x
end
local function comp(f)
return function(g)
return function(x)
return f(g(x))
end
end
end
local id2 = id(id)
local nil2 = id2(nil)

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module Examples.Syntax where
open import Agda.Builtin.Equality using (_≡_; refl)
open import FFI.Data.String using (_++_)
open import Luau.Syntax using (var; _$_; return; nil; function_⟨_⟩_end; _∙; _∙_)
open import Luau.Syntax.ToString using (exprToString; blockToString)
f = var "f"
x = var "x"
ex1 : exprToString(f $ x)
"f(x)"
ex1 = refl
ex2 : blockToString(return nil )
"return nil"
ex2 = refl
ex3 : blockToString(function "f" "x" return x end return f )
"local function f(x)\n" ++
" return x\n" ++
"end\n" ++
"return f"
ex3 = refl

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module FFI.Data.Aeson where
open import Agda.Builtin.Bool using (Bool)
open import Agda.Builtin.String using (String)
open import FFI.Data.ByteString using (ByteString)
open import FFI.Data.HaskellString using (HaskellString; pack)
open import FFI.Data.Maybe using (Maybe)
open import FFI.Data.Either using (Either; mapLeft)
open import FFI.Data.Scientific using (Scientific)
open import FFI.Data.Vector using (Vector)
{-# FOREIGN GHC import qualified Data.Aeson #-}
{-# FOREIGN GHC import qualified Data.Aeson.Key #-}
{-# FOREIGN GHC import qualified Data.Aeson.KeyMap #-}
postulate
KeyMap : Set Set
Key : Set
fromString : String Key
toString : Key String
lookup : {A} Key -> KeyMap A -> Maybe A
{-# POLARITY KeyMap ++ #-}
{-# COMPILE GHC KeyMap = type Data.Aeson.KeyMap.KeyMap #-}
{-# COMPILE GHC Key = type Data.Aeson.Key.Key #-}
{-# COMPILE GHC fromString = Data.Aeson.Key.fromText #-}
{-# COMPILE GHC toString = Data.Aeson.Key.toText #-}
{-# COMPILE GHC lookup = \_ -> Data.Aeson.KeyMap.lookup #-}
data Value : Set where
object : KeyMap Value Value
array : Vector Value Value
string : String Value
number : Scientific Value
bool : Bool Value
null : Value
{-# COMPILE GHC Value = data Data.Aeson.Value (Data.Aeson.Object|Data.Aeson.Array|Data.Aeson.String|Data.Aeson.Number|Data.Aeson.Bool|Data.Aeson.Null) #-}
Object = KeyMap Value
Array = Vector Value
postulate
decode : ByteString Maybe Value
eitherHDecode : ByteString Either HaskellString Value
{-# COMPILE GHC decode = Data.Aeson.decodeStrict #-}
{-# COMPILE GHC eitherHDecode = Data.Aeson.eitherDecodeStrict #-}
eitherDecode : ByteString Either String Value
eitherDecode bytes = mapLeft pack (eitherHDecode bytes)

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module FFI.Data.Bool where
{-# FOREIGN GHC import qualified Data.Bool #-}
data Bool : Set where
false : Bool
true : Bool
{-# COMPILE GHC Bool = data Data.Bool.Bool (Data.Bool.False|Data.Bool.True) #-}

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module FFI.Data.ByteString where
{-# FOREIGN GHC import qualified Data.ByteString #-}
postulate ByteString : Set
{-# COMPILE GHC ByteString = type Data.ByteString.ByteString #-}

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module FFI.Data.Either where
{-# FOREIGN GHC import qualified Data.Either #-}
data Either (A B : Set) : Set where
Left : A Either A B
Right : B Either A B
{-# COMPILE GHC Either = data Data.Either.Either (Data.Either.Left|Data.Either.Right) #-}
mapLeft : {A B C} (A B) (Either A C) (Either B C)
mapLeft f (Left x) = Left (f x)
mapLeft f (Right x) = Right x
mapRight : {A B C} (B C) (Either A B) (Either A C)
mapRight f (Left x) = Left x
mapRight f (Right x) = Right (f x)

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module FFI.Data.HaskellString where
open import Agda.Builtin.String using (String)
{-# FOREIGN GHC import qualified Data.String #-}
{-# FOREIGN GHC import qualified Data.Text #-}
postulate HaskellString : Set
{-# COMPILE GHC HaskellString = type Data.String.String #-}
postulate pack : HaskellString String
{-# COMPILE GHC pack = Data.Text.pack #-}
postulate unpack : String HaskellString
{-# COMPILE GHC unpack = Data.Text.unpack #-}

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module FFI.Data.Maybe where
{-# FOREIGN GHC import qualified Data.Maybe #-}
data Maybe (A : Set) : Set where
nothing : Maybe A
just : A Maybe A
{-# COMPILE GHC Maybe = data Data.Maybe.Maybe (Data.Maybe.Nothing|Data.Maybe.Just) #-}

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module FFI.Data.Scientific where
{-# FOREIGN GHC import qualified Data.Scientific #-}
postulate Scientific : Set
{-# COMPILE GHC Scientific = type Data.Scientific.Scientific #-}

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module FFI.Data.String where
import Agda.Builtin.String
String = Agda.Builtin.String.String
infixr 5 _++_
_++_ = Agda.Builtin.String.primStringAppend

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module FFI.Data.Text.Encoding where
open import Agda.Builtin.String using (String)
open import FFI.Data.ByteString using (ByteString)
{-# FOREIGN GHC import qualified Data.Text.Encoding #-}
postulate encodeUtf8 : String ByteString
{-# COMPILE GHC encodeUtf8 = Data.Text.Encoding.encodeUtf8 #-}

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module FFI.Data.Vector where
open import FFI.Data.Bool using (Bool; false; true)
open import FFI.Data.Maybe using (Maybe; just; nothing)
{-# FOREIGN GHC import qualified Data.Vector #-}
postulate Vector : Set Set
{-# POLARITY Vector ++ #-}
{-# COMPILE GHC Vector = type Data.Vector.Vector #-}
postulate
empty : {A} (Vector A)
null : {A} (Vector A) Bool
unsafeHead : {A} (Vector A) A
unsafeTail : {A} (Vector A) (Vector A)
{-# COMPILE GHC empty = \_ -> Data.Vector.empty #-}
{-# COMPILE GHC null = \_ -> Data.Vector.null #-}
{-# COMPILE GHC unsafeHead = \_ -> Data.Vector.unsafeHead #-}
{-# COMPILE GHC unsafeTail = \_ -> Data.Vector.unsafeTail #-}
head : {A} (Vector A) (Maybe A)
head vec with null vec
head vec | false = just (unsafeHead vec)
head vec | true = nothing
tail : {A} (Vector A) Vector A
tail vec with null vec
tail vec | false = unsafeTail vec
tail vec | true = empty

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module FFI.IO where
open import Agda.Builtin.IO using (IO)
open import Agda.Builtin.Unit using ()
open import Agda.Builtin.String using (String)
open import FFI.Data.HaskellString using (HaskellString; pack ; unpack)
infixl 1 _>>=_
infixl 1 _>>_
postulate
return : {a} {A : Set a} A IO A
_>>=_ : {a b} {A : Set a} {B : Set b} IO A (A IO B) IO B
fmap : {a b} {A : Set a} {B : Set b} (A B) IO A IO B
{-# COMPILE GHC return = \_ _ -> return #-}
{-# COMPILE GHC _>>=_ = \_ _ _ _ -> (>>=) #-}
{-# COMPILE GHC fmap = \_ _ _ _ -> fmap #-}
postulate getHContents : IO HaskellString
{-# COMPILE GHC getHContents = getContents #-}
postulate putHStrLn : HaskellString IO
{-# COMPILE GHC putHStrLn = putStrLn #-}
getContents : IO String
getContents = fmap pack getHContents
putStrLn : String IO
putStrLn txt = putHStrLn (unpack txt)
_>>_ : {a} {A : Set a} IO IO A IO A
a >> b = a >>= (λ _ b )

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module FFI.System.Exit where
open import Agda.Builtin.Int using (Int)
open import Agda.Builtin.IO using (IO)
open import Agda.Builtin.Unit using ()
data ExitCode : Set where
ExitSuccess : ExitCode
ExitFailure : Int ExitCode
{-# FOREIGN GHC data AgdaExitCode = AgdaExitSuccess | AgdaExitFailure Integer #-}
{-# COMPILE GHC ExitCode = data AgdaExitCode (AgdaExitSuccess | AgdaExitFailure) #-}
{-# FOREIGN GHC import qualified System.Exit #-}
{-# FOREIGN GHC
toExitCode :: AgdaExitCode -> System.Exit.ExitCode
toExitCode AgdaExitSuccess = System.Exit.ExitSuccess
toExitCode (AgdaExitFailure n) = System.Exit.ExitFailure (fromIntegral n)
fromExitCode :: System.Exit.ExitCode -> AgdaExitCode
fromExitCode System.Exit.ExitSuccess = AgdaExitSuccess
fromExitCode (System.Exit.ExitFailure n) = AgdaExitFailure (fromIntegral n)
#-}
postulate
exitWith : ExitCode IO
{-# COMPILE GHC exitWith = System.Exit.exitWith . toExitCode #-}

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module Luau.Syntax where
open import Agda.Builtin.String using (String)
infixr 5 _∙_
data Type : Set where
nil : Type
_⇒_ : Type Type Type
none : Type
any : Type
__ : Type Type Type
_∩_ : Type Type Type
Var : Set
Var = String
data Block : Set
data Stat : Set
data Expr : Set
data Block where
_∙_ : Stat Block Block
_∙ : Stat Block
data Stat where
function_⟨_⟩_end : Var Var Block Stat
local_←_ : Var Expr Stat
return : Expr Stat
data Expr where
nil : Expr
var : Var Expr
_$_ : Expr Expr Expr
function⟨_⟩_end : Var Block Expr

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module Luau.Syntax.FromJSON where
open import Luau.Syntax using (Type; Block; Stat ; Expr; nil; _$_; var; function⟨_⟩_end; local_←_; function_⟨_⟩_end; return; _∙; _∙_)
open import Agda.Builtin.List using (List; _∷_; [])
open import FFI.Data.Aeson using (Value; Array; Object; object; array; string; fromString; lookup)
open import FFI.Data.Bool using (true; false)
open import FFI.Data.Either using (Either; Left; Right)
open import FFI.Data.Maybe using (Maybe; nothing; just)
open import FFI.Data.String using (String; _++_)
open import FFI.Data.Vector using (head; tail; null; empty)
args = fromString "args"
body = fromString "body"
func = fromString "func"
lokal = fromString "local"
list = fromString "list"
name = fromString "name"
type = fromString "type"
values = fromString "values"
vars = fromString "vars"
data Lookup : Set where
_,_ : String Value Lookup
nil : Lookup
lookupIn : List String Object Lookup
lookupIn [] obj = nil
lookupIn (key keys) obj with lookup (fromString key) obj
lookupIn (key keys) obj | nothing = lookupIn keys obj
lookupIn (key keys) obj | just value = (key , value)
exprFromJSON : Value Either String Expr
exprFromObject : Object Either String Expr
statFromJSON : Value Either String Stat
statFromObject : Object Either String Stat
blockFromJSON : Value Either String Block
blockFromArray : Array Either String Block
exprFromJSON (object obj) = exprFromObject obj
exprFromJSON val = Left "AstExpr not an object"
exprFromObject obj with lookup type obj
exprFromObject obj | just (string "AstExprCall") with lookup func obj | lookup args obj
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) with head arr
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) | just value2 with exprFromJSON value | exprFromJSON value2
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) | just value2 | Right fun | Right arg = Right (fun $ arg)
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) | just value2 | Left err | _ = Left err
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) | just value2 | _ | Left err = Left err
exprFromObject obj | just (string "AstExprCall") | just value | just (array arr) | nothing = Left ("AstExprCall empty args")
exprFromObject obj | just (string "AstExprCall") | just value | just _ = Left ("AstExprCall args not an array")
exprFromObject obj | just (string "AstExprCall") | nothing | _ = Left ("AstExprCall missing func")
exprFromObject obj | just (string "AstExprCall") | _ | nothing = Left ("AstExprCall missing args")
exprFromObject obj | just (string "AstExprConstantNil") = Right nil
exprFromObject obj | just (string "AstExprFunction") with lookup args obj | lookup body obj
exprFromObject obj | just (string "AstExprFunction") | just (array arr) | just value with head arr | blockFromJSON value
exprFromObject obj | just (string "AstExprFunction") | just (array arr) | just value | just (string x) | Right B = Right (function⟨ x B end)
exprFromObject obj | just (string "AstExprFunction") | just (array arr) | just value | just _ | Right B = Left "AstExprFunction args not a string array"
exprFromObject obj | just (string "AstExprFunction") | just (array arr) | just value | nothing | Right B = Left "Unsupported AstExprFunction empty args"
exprFromObject obj | just (string "AstExprFunction") | just (array arr) | just value | _ | Left err = Left err
exprFromObject obj | just (string "AstExprFunction") | just _ | just _ = Left "AstExprFunction args not an array"
exprFromObject obj | just (string "AstExprFunction") | nothing | _ = Left "AstExprFunction missing args"
exprFromObject obj | just (string "AstExprFunction") | _ | nothing = Left "AstExprFunction missing body"
exprFromObject obj | just (string "AstExprLocal") with lookup lokal obj
exprFromObject obj | just (string "AstExprLocal") | just (string x) = Right (var x)
exprFromObject obj | just (string "AstExprLocal") | just (_) = Left "AstExprLocal local not a string"
exprFromObject obj | just (string "AstExprLocal") | nothing = Left "AstExprLocal missing local"
exprFromObject obj | just (string ty) = Left ("TODO: Unsupported AstExpr " ++ ty)
exprFromObject obj | just _ = Left "AstExpr type not a string"
exprFromObject obj | nothing = Left "AstExpr missing type"
{-# NON_TERMINATING #-}
statFromJSON (object obj) = statFromObject obj
statFromJSON _ = Left "AstStat not an object"
statFromObject obj with lookup type obj
statFromObject obj | just(string "AstStatLocal") with lookup vars obj | lookup values obj
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) with head(arr1) | head(arr2)
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | just(string x) | just(value) with exprFromJSON(value)
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | just(string x) | just(value) | Right M = Right (local x M)
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | just(string x) | just(value) | Left err = Left err
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | just(string x) | nothing = Left "AstStatLocal empty values"
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | just(_) | _ = Left "AstStatLocal vars not a string array"
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(array arr2) | nothing | _ = Left "AstStatLocal empty vars"
statFromObject obj | just(string "AstStatLocal") | just(array arr1) | just(_) = Left "AstStatLocal values not an array"
statFromObject obj | just(string "AstStatLocal") | just(_) | just(_) = Left "AstStatLocal vars not an array"
statFromObject obj | just(string "AstStatLocal") | just(_) | nothing = Left "AstStatLocal missing values"
statFromObject obj | just(string "AstStatLocal") | nothing | _ = Left "AstStatLocal missing vars"
statFromObject obj | just(string "AstStatLocalFunction") with lookup name obj | lookup func obj
statFromObject obj | just(string "AstStatLocalFunction") | just (string f) | just value with exprFromJSON value
statFromObject obj | just(string "AstStatLocalFunction") | just (string f) | just value | Right (function⟨ x B end) = Right (function f x B end)
statFromObject obj | just(string "AstStatLocalFunction") | just (string f) | just value | Left err = Left err
statFromObject obj | just(string "AstStatLocalFunction") | just _ | just _ | Right _ = Left "AstStatLocalFunction func is not an AstExprFunction"
statFromObject obj | just(string "AstStatLocalFunction") | just _ | just _ = Left "AstStatLocalFunction name is not a string"
statFromObject obj | just(string "AstStatLocalFunction") | nothing | _ = Left "AstStatFunction missing name"
statFromObject obj | just(string "AstStatLocalFunction") | _ | nothing = Left "AstStatFunction missing func"
statFromObject obj | just(string "AstStatReturn") with lookup list obj
statFromObject obj | just(string "AstStatReturn") | just(array arr) with head arr
statFromObject obj | just(string "AstStatReturn") | just(array arr) | just value with exprFromJSON value
statFromObject obj | just(string "AstStatReturn") | just(array arr) | just value | Right M = Right (return M)
statFromObject obj | just(string "AstStatReturn") | just(array arr) | just value | Left err = Left err
statFromObject obj | just(string "AstStatReturn") | just(array arr) | nothing = Left "AstStatReturn empty list"
statFromObject obj | just(string "AstStatReturn") | just(_) = Left "AstStatReturn list not an array"
statFromObject obj | just(string "AstStatReturn") | nothing = Left "AstStatReturn missing list"
statFromObject obj | just (string ty) = Left ("TODO: Unsupported AstStat " ++ ty)
statFromObject obj | just _ = Left "AstStat type not a string"
statFromObject obj | nothing = Left "AstStat missing type"
blockFromJSON (array arr) = blockFromArray arr
blockFromJSON (object obj) with lookup type obj | lookup body obj
blockFromJSON (object obj) | just (string "AstStatBlock") | just value = blockFromJSON value
blockFromJSON (object obj) | just (string "AstStatBlock") | nothing = Left "AstStatBlock missing body"
blockFromJSON (object obj) | just (string ty) | _ = Left ("Unsupported AstBlock " ++ ty)
blockFromJSON (object obj) | just _ | _ = Left "AstStatBlock type not a string"
blockFromJSON (object obj) | nothing | _ = Left "AstStatBlock missing type"
blockFromJSON _ = Left "AstBlock not an array or AstStatBlock object"
blockFromArray arr with head arr
blockFromArray arr | nothing = Left "Block should be a non-empty array"
blockFromArray arr | just value with statFromJSON value
blockFromArray arr | just value | Left err = Left err
blockFromArray arr | just value | Right S with null (tail arr)
blockFromArray arr | just value | Right S | true = Right (S )
blockFromArray arr | just value | Right S | false with blockFromArray(tail arr)
blockFromArray arr | just value | Right S | false | Left err = Left (err)
blockFromArray arr | just value | Right S | false | Right B = Right (S B)

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module Luau.Syntax.ToString where
open import Luau.Syntax using (Type; Block; Stat; Expr; nil; var; _$_; function⟨_⟩_end; return; function_⟨_⟩_end ;local_←_; _∙_; _∙)
open import FFI.Data.String using (String; _++_)
exprToString : String Expr String
statToString : String Stat String
blockToString : String Block String
exprToString lb nil =
"nil"
exprToString lb (var x) =
x
exprToString lb (M $ N) =
(exprToString lb M) ++ "(" ++ (exprToString lb N) ++ ")"
exprToString lb (function⟨ x B end) =
"function(" ++ x ++ ")" ++ lb ++
" " ++ (blockToString (lb ++ " ") B) ++ lb ++
"end"
statToString lb (function f x B end) =
"local function " ++ f ++ "(" ++ x ++ ")" ++ lb ++
" " ++ (blockToString (lb ++ " ") B) ++ lb ++
"end"
statToString lb (local x M) =
"local " ++ x ++ " = " ++ (exprToString lb M)
statToString lb (return M) =
"return " ++ (exprToString lb M)
blockToString lb (S B) = statToString lb S ++ lb ++ blockToString lb B
blockToString lb (S ) = statToString lb S
exprToString : Expr String
exprToString = exprToString "\n"
statToString : Stat String
statToString = statToString "\n"
blockToString : Block String
blockToString = blockToString "\n"

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module PrettyPrinter where
open import Agda.Builtin.IO using (IO)
open import Agda.Builtin.Int using (pos)
open import Agda.Builtin.Unit using ()
open import FFI.IO using (getContents; putStrLn; _>>=_; _>>_)
open import FFI.Data.Aeson using (Value; eitherDecode)
open import FFI.Data.Either using (Left; Right)
open import FFI.Data.String using (String; _++_)
open import FFI.Data.Text.Encoding using (encodeUtf8)
open import FFI.System.Exit using (exitWith; ExitFailure)
open import Luau.Syntax using (Block)
open import Luau.Syntax.FromJSON using (blockFromJSON)
open import Luau.Syntax.ToString using (blockToString)
runBlock : Block IO
runBlock block = putStrLn (blockToString block)
runJSON : Value IO
runJSON value with blockFromJSON(value)
runJSON value | (Left err) = putStrLn ("Luau error: " ++ err) >> exitWith (ExitFailure (pos 1))
runJSON value | (Right block) = runBlock block
runString : String IO
runString txt with eitherDecode (encodeUtf8 txt)
runString txt | (Left err) = putStrLn ("JSON error: " ++ err) >> exitWith (ExitFailure (pos 1))
runString txt | (Right value) = runJSON value
main : IO
main = getContents >>= runString

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# Prototyping Luau
![prototyping workflow](https://github.com/Roblox/luau/actions/workflows/prototyping.yml/badge.svg)
An experimental prototyping system for the Luau type system. This is
intended to allow core language features to be tested quickly, without
having to interact with all the features of production Lua.
## Building
First install Haskell and Agda.
Install dependencies:
```
cabal update
cabal install --lib aeson scientific vector
```
Then compile
```
agda --compile PrettyPrinter.agda
```
and run!
```
luau-ast Examples/SmokeTest.lua | ./PrettyPrinter
```