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+{-# LANGUAGE AllowAmbiguousTypes #-}
+{-# LANGUAGE QuasiQuotes #-}
+{-# LANGUAGE TemplateHaskell #-}
+
+module Netencode where
+
+import Control.Applicative (many)
+import Data.Attoparsec.ByteString qualified as Atto
+import Data.Attoparsec.ByteString.Char8 qualified as Atto.Char
+import Data.ByteString qualified as ByteString
+import Data.ByteString.Builder (Builder)
+import Data.ByteString.Builder qualified as Builder
+import Data.ByteString.Lazy qualified as ByteString.Lazy
+import Data.Fix (Fix (Fix))
+import Data.Fix qualified as Fix
+import Data.Functor.Classes (Eq1 (liftEq))
+import Data.Int (Int16, Int32, Int64, Int8)
+import Data.Map.NonEmpty (NEMap)
+import Data.Map.NonEmpty qualified as NEMap
+import Data.Semigroup qualified as Semi
+import Data.String (IsString)
+import Data.Word (Word16, Word32, Word64)
+import GHC.Exts (fromString)
+import Hedgehog qualified as Hedge
+import Hedgehog.Gen qualified as Gen
+import Hedgehog.Range qualified as Range
+import PossehlAnalyticsPrelude
+import Text.Show.Deriving
+import Prelude hiding (sum)
+
+-- | Netencode type base functor.
+--
+-- Recursive elements have a @rec@.
+data TF rec
+  = -- | Unit value
+    Unit
+  | -- | Boolean (2^1)
+    N1 Bool
+  | -- | Byte (2^3)
+    N3 Word8
+  | -- | 64-bit Natural (2^6)
+    N6 Word64
+  | -- | 64-bit Integer (2^6)
+    I6 Int64
+  | -- | Unicode Text
+    Text Text
+  | -- | Arbitrary Bytestring
+    Bytes ByteString
+  | -- | A constructor of a(n open) Sum
+    Sum (Tag Text rec)
+  | -- | Record
+    Record (NEMap Text rec)
+  | -- | List
+    List [rec]
+  deriving stock (Show, Eq, Functor)
+
+instance Eq1 TF where
+  liftEq _ Unit Unit = True
+  liftEq _ (N1 b) (N1 b') = b == b'
+  liftEq _ (N3 w8) (N3 w8') = w8 == w8'
+  liftEq _ (N6 w64) (N6 w64') = w64 == w64'
+  liftEq _ (I6 i64) (I6 i64') = i64 == i64'
+  liftEq _ (Text t) (Text t') = t == t'
+  liftEq _ (Bytes b) (Bytes b') = b == b'
+  liftEq eq (Sum t) (Sum t') = eq (t.tagVal) (t'.tagVal)
+  liftEq eq (Record m) (Record m') = liftEq eq m m'
+  liftEq eq (List xs) (List xs') = liftEq eq xs xs'
+  liftEq _ _ _ = False
+
+-- | A tagged value
+data Tag tag val = Tag
+  { tagTag :: tag,
+    tagVal :: val
+  }
+  deriving stock (Show, Eq, Functor)
+
+$(Text.Show.Deriving.deriveShow1 ''Tag)
+$(Text.Show.Deriving.deriveShow1 ''TF)
+
+-- | The Netencode type
+newtype T = T {unT :: Fix TF}
+  deriving stock (Eq, Show)
+
+-- | Create a unit
+unit :: T
+unit = T $ Fix Unit
+
+-- | Create a boolean
+n1 :: Bool -> T
+n1 = T . Fix . N1
+
+-- | Create a byte
+n3 :: Word8 -> T
+n3 = T . Fix . N3
+
+-- | Create a 64-bit natural
+n6 :: Word64 -> T
+n6 = T . Fix . N6
+
+-- | Create a 64-bit integer
+i6 :: Int64 -> T
+i6 = T . Fix . I6
+
+-- | Create a UTF-8 unicode text
+text :: Text -> T
+text = T . Fix . Text
+
+-- | Create an arbitrary bytestring
+bytes :: ByteString -> T
+bytes = T . Fix . Bytes
+
+-- | Create a tagged value from a tag name and a value
+tag :: Text -> T -> T
+tag key val = T $ Fix $ Sum $ coerce @(Tag Text T) @(Tag Text (Fix TF)) $ Tag key val
+
+-- | Create a record from a non-empty map
+record :: NEMap Text T -> T
+record = T . Fix . Record . coerce @(NEMap Text T) @(NEMap Text (Fix TF))
+
+-- | Create a list
+list :: [T] -> T
+list = T . Fix . List . coerce @[T] @([Fix TF])
+
+-- | Stable encoding of a netencode value. Record keys will be sorted lexicographically ascending.
+netencodeEncodeStable :: T -> Builder
+netencodeEncodeStable (T fix) = Fix.foldFix (netencodeEncodeStableF id) fix
+
+-- | Stable encoding of a netencode functor value. Record keys will be sorted lexicographically ascending.
+--
+-- The given function is used for encoding the recursive values.
+netencodeEncodeStableF :: (rec -> Builder) -> TF rec -> Builder
+netencodeEncodeStableF inner tf = builder go
+  where
+    -- TODO: directly pass in BL?
+    innerBL = fromBuilder . inner
+    go = case tf of
+      Unit -> "u,"
+      N1 False -> "n1:0,"
+      N1 True -> "n1:1,"
+      N3 w8 -> "n3:" <> fromBuilder (Builder.word8Dec w8) <> ","
+      N6 w64 -> "n6:" <> fromBuilder (Builder.word64Dec w64) <> ","
+      I6 i64 -> "i6:" <> fromBuilder (Builder.int64Dec i64) <> ","
+      Text t ->
+        let b = fromText t
+         in "t" <> builderLenDec b <> ":" <> b <> ","
+      Bytes b -> "b" <> builderLenDec (fromByteString b) <> ":" <> fromByteString b <> ","
+      Sum (Tag key val) -> encTag key val
+      Record m ->
+        -- NEMap uses Map internally, and that folds in lexicographic ascending order over the key.
+        -- Since these are `Text` in our case, this is stable.
+        let mBuilder = m & NEMap.foldMapWithKey encTag
+         in "{" <> builderLenDec mBuilder <> ":" <> mBuilder <> "}"
+      List xs ->
+        let xsBuilder = xs <&> innerBL & mconcat
+         in "[" <> builderLenDec xsBuilder <> ":" <> xsBuilder <> "]"
+      where
+        encTag key val =
+          let bKey = fromText key
+           in "<" <> builderLenDec bKey <> ":" <> bKey <> "|" <> innerBL val
+
+-- | A builder that knows its own size in bytes
+newtype BL = BL (Builder, Semi.Sum Natural)
+  deriving newtype (Monoid, Semigroup)
+
+instance IsString BL where
+  fromString s =
+    BL
+      ( fromString @Builder s,
+        fromString @ByteString s
+          & ByteString.length
+          & intToNatural
+          & fromMaybe 0
+          & Semi.Sum
+      )
+
+-- | Retrieve the builder
+builder :: BL -> Builder
+builder (BL (b, _)) = b
+
+-- | Retrieve the bytestring length
+builderLen :: BL -> Natural
+builderLen (BL (_, len)) = Semi.getSum $ len
+
+-- | Take a 'BL' and create a new 'BL' that represents the length as a decimal integer
+builderLenDec :: BL -> BL
+builderLenDec (BL (_, len)) =
+  let b = Builder.intDec $ (len & Semi.getSum & fromIntegral @Natural @Int)
+   in b & fromBuilder
+
+-- | Create a 'BL' from a 'Builder'.
+--
+-- Not efficient, goes back to a lazy bytestring to get the length
+fromBuilder :: Builder -> BL
+fromBuilder b =
+  BL
+    ( b,
+      b
+        & Builder.toLazyByteString
+        & ByteString.Lazy.length
+        & fromIntegral @Int64 @Natural
+        & Semi.Sum
+    )
+
+-- | Create a 'BL' from a 'ByteString'.
+fromByteString :: ByteString -> BL
+fromByteString b =
+  BL
+    ( Builder.byteString b,
+      b
+        & ByteString.length
+        & fromIntegral @Int @Natural
+        & Semi.Sum
+    )
+
+-- | Create a 'BL' from a 'Text'.
+fromText :: Text -> BL
+fromText t = t & textToBytesUtf8 & fromByteString
+
+-- | Parser for a netencode value.
+netencodeParser :: Atto.Parser T
+netencodeParser = T <$> go
+  where
+    go = Fix <$> netencodeParserF go
+
+-- | Parser for one level of a netencode value. Requires a parser for the recursion.
+netencodeParserF :: Atto.Parser rec -> Atto.Parser (TF rec)
+netencodeParserF inner = do
+  typeTag <- Atto.Char.anyChar
+  case typeTag of
+    't' -> Text <$> textParser
+    'b' -> Bytes <$> bytesParser
+    'u' -> unitParser
+    '<' -> Sum <$> tagParser
+    '{' -> Record <$> recordParser
+    '[' -> List <$> listParser
+    'n' -> naturalParser
+    'i' -> I6 <$> intParser
+    c -> fail ([c] <> " is not a valid netencode tag")
+  where
+    bytesParser = do
+      len <- boundedDecimalFail Atto.<?> "bytes is missing a digit specifying the length"
+      _ <- Atto.Char.char ':' Atto.<?> "bytes did not have : after length"
+      bytes' <- Atto.take len
+      _ <- Atto.Char.char ',' Atto.<?> "bytes did not end with ,"
+      pure bytes'
+
+    textParser = do
+      len <- boundedDecimalFail Atto.<?> "text is missing a digit specifying the length"
+      _ <- Atto.Char.char ':' Atto.<?> "text did not have : after length"
+      text' <-
+        Atto.take len <&> bytesToTextUtf8 >>= \case
+          Left err -> fail [fmt|cannot decode text as utf8: {err & prettyError}|]
+          Right t -> pure t
+      _ <- Atto.Char.char ',' Atto.<?> "text did not end with ,"
+      pure text'
+
+    unitParser = do
+      _ <- Atto.Char.char ',' Atto.<?> "unit did not end with ,"
+      pure $ Unit
+
+    tagParser = do
+      len <- boundedDecimalFail Atto.<?> "tag is missing a digit specifying the length"
+      _ <- Atto.Char.char ':' Atto.<?> "tag did not have : after length"
+      tagTag <-
+        Atto.take len <&> bytesToTextUtf8 >>= \case
+          Left err -> fail [fmt|cannot decode tag key as utf8: {err & prettyError}|]
+          Right t -> pure t
+      _ <- Atto.Char.char '|' Atto.<?> "tag was missing the key/value separator (|)"
+      tagVal <- inner
+      pure $ Tag {..}
+
+    recordParser = do
+      -- TODO: the record does not use its inner length because we are descending into the inner parsers.
+      -- This is a smell! In theory it can be used to skip parsing the whole inner keys.
+      _len <- boundedDecimalFail Atto.<?> "record is missing a digit specifying the length"
+      _ <- Atto.Char.char ':' Atto.<?> "record did not have : after length"
+      record' <-
+        many (Atto.Char.char '<' >> tagParser) <&> nonEmpty >>= \case
+          Nothing -> fail "record is not allowed to have 0 elements"
+          Just tags ->
+            pure $
+              tags
+                <&> (\t -> (t.tagTag, t.tagVal))
+                -- later keys are preferred if they are duplicates, according to the standard
+                & NEMap.fromList
+      _ <- Atto.Char.char '}' Atto.<?> "record did not end with }"
+      pure record'
+
+    listParser = do
+      -- TODO: the list does not use its inner length because we are descending into the inner parsers.
+      -- This is a smell! In theory it can be used to skip parsing the whole inner keys.
+      _len <- boundedDecimalFail Atto.<?> "list is missing a digit specifying the length"
+      _ <- Atto.Char.char ':' Atto.<?> "list did not have : after length"
+      -- TODO: allow empty lists?
+      list' <- many inner
+      _ <- Atto.Char.char ']' Atto.<?> "list did not end with ]"
+      pure list'
+
+    intParser = do
+      let p :: forall parseSize. (Bounded parseSize, Integral parseSize) => (Integer -> Atto.Parser Int64)
+          p n = do
+            _ <- Atto.Char.char ':' Atto.<?> [fmt|i{n & show} did not have : after length|]
+            isNegative <- Atto.option False (Atto.Char.char '-' <&> \_c -> True)
+            int <-
+              boundedDecimal @parseSize >>= \case
+                Nothing -> fail [fmt|cannot parse into i{n & show}, the number is too big (would overflow)|]
+                Just i ->
+                  pure $
+                    if isNegative
+                      then -- TODO: this should alread be done in the decimal parser, @minBound@ cannot be parsed cause it’s one more than @(-maxBound)@!
+                        (-i)
+                      else i
+            _ <- Atto.Char.char ',' Atto.<?> [fmt|i{n & show} did not end with ,|]
+            pure $ fromIntegral @parseSize @Int64 int
+      digit <- Atto.Char.digit
+      case digit of
+        -- TODO: separate parser for i1 and i2 that makes sure the boundaries are right!
+        '1' -> p @Int8 1
+        '2' -> p @Int8 2
+        '3' -> p @Int8 3
+        '4' -> p @Int16 4
+        '5' -> p @Int32 5
+        '6' -> p @Int64 6
+        '7' -> fail [fmt|i parser only supports numbers up to size 6, was 7|]
+        '8' -> fail [fmt|i parser only supports numbers up to size 6, was 8|]
+        '9' -> fail [fmt|i parser only supports numbers up to size 6, was 9|]
+        o -> fail [fmt|i number with length {o & show} not possible|]
+
+    naturalParser = do
+      let p :: forall parseSize finalSize. (Bounded parseSize, Integral parseSize, Num finalSize) => (Integer -> Atto.Parser finalSize)
+          p n = do
+            _ <- Atto.Char.char ':' Atto.<?> [fmt|n{n & show} did not have : after length|]
+            int <-
+              boundedDecimal @parseSize >>= \case
+                Nothing -> fail [fmt|cannot parse into n{n & show}, the number is too big (would overflow)|]
+                Just i -> pure i
+
+            _ <- Atto.Char.char ',' Atto.<?> [fmt|n{n & show} did not end with ,|]
+            pure $ fromIntegral @parseSize @finalSize int
+      let b n = do
+            _ <- Atto.Char.char ':' Atto.<?> [fmt|n{n & show} did not have : after length|]
+            bool <-
+              (Atto.Char.char '0' >> pure False)
+                <|> (Atto.Char.char '1' >> pure True)
+            _ <- Atto.Char.char ',' Atto.<?> [fmt|n{n & show} did not end with ,|]
+            pure bool
+
+      digit <- Atto.Char.digit
+      case digit of
+        -- TODO: separate parser for n1 and n2 that makes sure the boundaries are right!
+        '1' -> N1 <$> b 1
+        '2' -> N3 <$> p @Word8 @Word8 2
+        '3' -> N3 <$> p @Word8 @Word8 3
+        '4' -> N6 <$> p @Word16 @Word64 4
+        '5' -> N6 <$> p @Word32 @Word64 5
+        '6' -> N6 <$> p @Word64 @Word64 6
+        '7' -> fail [fmt|n parser only supports numbers up to size 6, was 7|]
+        '8' -> fail [fmt|n parser only supports numbers up to size 6, was 8|]
+        '9' -> fail [fmt|n parser only supports numbers up to size 6, was 9|]
+        o -> fail [fmt|n number with length {o & show} not possible|]
+
+-- | Parser for a bounded decimal that does not overflow the decimal.
+--
+--  via https://www.extrema.is/blog/2021/10/20/parsing-bounded-integers
+boundedDecimal :: forall a. (Bounded a, Integral a) => Atto.Parser (Maybe a)
+boundedDecimal = do
+  i :: Integer <- decimal
+  pure $
+    if (i :: Integer) > fromIntegral (maxBound :: a)
+      then Nothing
+      else Just $ fromIntegral i
+  where
+    -- Copied from @Attoparsec.Text@ and adjusted to bytestring
+    decimal :: (Integral a2) => Atto.Parser a2
+    decimal = ByteString.foldl' step 0 <$> Atto.Char.takeWhile1 Atto.Char.isDigit
+      where
+        step a c = a * 10 + fromIntegral (c - 48)
+{-# SPECIALIZE boundedDecimal :: Atto.Parser (Maybe Int) #-}
+{-# SPECIALIZE boundedDecimal :: Atto.Parser (Maybe Int64) #-}
+{-# SPECIALIZE boundedDecimal :: Atto.Parser (Maybe Word8) #-}
+{-# SPECIALIZE boundedDecimal :: Atto.Parser (Maybe Word64) #-}
+
+-- | 'boundedDecimal', but fail the parser if the decimal overflows.
+boundedDecimalFail :: Atto.Parser Int
+boundedDecimalFail =
+  boundedDecimal >>= \case
+    Nothing -> fail "decimal out of range"
+    Just a -> pure a
+
+-- | Hedgehog generator for a netencode value.
+genNetencode :: Hedge.MonadGen m => m T
+genNetencode =
+  Gen.recursive
+    Gen.choice
+    [ -- these are bundled into one Gen, so that scalar elements get chosen less frequently, and the generator produces nicely nested examples
+      Gen.frequency
+        [ (1, pure unit),
+          (1, n1 <$> Gen.bool),
+          (1, n3 <$> Gen.element [0, 1, 5]),
+          (1, n6 <$> Gen.element [0, 1, 5]),
+          (1, i6 <$> Gen.element [-1, 1, 5]),
+          (2, text <$> Gen.text (Range.linear 1 10) Gen.lower),
+          (2, bytes <$> Gen.bytes (Range.linear 1 10))
+        ]
+    ]
+    [ do
+        key <- Gen.text (Range.linear 3 10) Gen.lower
+        val <- genNetencode
+        pure $ tag key val,
+      record
+        <$> ( let k = Gen.text (Range.linear 3 10) Gen.lower
+                  v = genNetencode
+               in NEMap.insertMap
+                    <$> k
+                    <*> v
+                    <*> ( (Gen.map (Range.linear 0 3)) $
+                            (,) <$> k <*> v
+                        )
+            )
+    ]
+
+-- | Hedgehog property: encoding a netencode value and parsing it again returns the same result.
+prop_netencodeRoundtrip :: Hedge.Property
+prop_netencodeRoundtrip = Hedge.property $ do
+  enc <- Hedge.forAll genNetencode
+  ( Atto.parseOnly
+      netencodeParser
+      ( netencodeEncodeStable enc
+          & Builder.toLazyByteString
+          & toStrictBytes
+      )
+    )
+    Hedge.=== (Right enc)