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|
{-# LANGUAGE DerivingStrategies #-}
{-# LANGUAGE NoImplicitPrelude #-}
-- | Deterministic, checked serialization scoped only by 'CacheEpoch'.
--
-- These bytes are disposable implementation data. They are never input to a
-- durable mathematical identity.
module Felix.Cache.Codec
( CacheEpoch
, currentCacheEpoch
, cacheEpochValue
, cacheEpochFromValue
, CacheDigest
, cacheDigestBytes
, cacheDigestFromBytes
, cacheDigestHex
, hashCacheFields
, CachePut
, CacheGet
, CacheDecodeError(..)
, encodeCache
, decodeCache
, putCacheTag
, getCacheTag
, putCacheBytes
, getCacheBytes
, putCacheText
, getCacheText
, putCacheNatural
, getCacheNatural
, putCacheInteger
, getCacheInteger
, putMathematicalDigestCache
, getMathematicalDigestCache
, putCacheDigest
, getCacheDigest
, putCacheList
, getCacheList
, putCacheMaybe
, getCacheMaybe
, putCanonicalCacheMap
, getCanonicalCacheMap
, putCoreTypeCache
, getCoreTypeCache
, putCoreIntrinsicTagCache
, getCoreIntrinsicTagCache
, putCanonicalTermCache
, getCanonicalTermCache
) where
import Base hiding (Empty)
import Checking.Core
import Felix.Math.Codec
import Control.DeepSeq (NFData)
import Control.Monad (replicateM, unless)
import Crypto.Hash qualified as Crypto
import Data.Binary.Get qualified as Get
import Data.Binary.Put qualified as Put
import Data.Bits ((.&.), (.|.), shiftL, shiftR)
import Data.ByteArray qualified as ByteArray
import Data.ByteString (ByteString)
import Data.ByteString qualified as ByteString
import Data.ByteString.Lazy qualified as LazyByteString
import Data.List qualified as List
import Data.Map.Strict qualified as Map
import Data.Text qualified as StrictText
import Data.Text.Encoding qualified as Text
import Data.Word (Word8, Word32)
import Numeric.Natural (Natural)
newtype CacheEpoch = CacheEpoch Word32
deriving stock (Show, Eq, Ord)
currentCacheEpoch :: CacheEpoch
currentCacheEpoch =
CacheEpoch 27
cacheEpochValue :: CacheEpoch -> Word32
cacheEpochValue (CacheEpoch value) =
value
cacheEpochFromValue :: Word32 -> CacheEpoch
cacheEpochFromValue =
CacheEpoch
-- | A SHA-256 digest whose meaning is scoped by the store-wide cache epoch.
-- Its input encoding is deliberately separate from mathematical identity.
newtype CacheDigest =
CacheDigest ByteString
deriving stock (Eq, Ord, Generic)
deriving newtype (Hashable, NFData)
instance Show CacheDigest where
show =
StrictText.unpack . cacheDigestHex
cacheDigestBytes :: CacheDigest -> ByteString
cacheDigestBytes (CacheDigest bytes) =
bytes
cacheDigestFromBytes :: ByteString -> Maybe CacheDigest
cacheDigestFromBytes bytes
| ByteString.length bytes == 32 =
Just (CacheDigest bytes)
| otherwise =
Nothing
cacheDigestHex :: CacheDigest -> Text
cacheDigestHex =
Text.decodeUtf8
. ByteString.concatMap encodeHexByte
. cacheDigestBytes
where
encodeHexByte byte =
ByteString.pack
[ hexDigit (byte `shiftR` 4)
, hexDigit (byte .&. 0x0f)
]
hexDigit nibble
| nibble < 10 =
48 + nibble
| otherwise =
87 + nibble
-- | Hash deterministic cache fields under a cache-only domain. These bytes
-- may change only together with 'currentCacheEpoch'.
hashCacheFields :: Text -> [ByteString] -> CacheDigest
hashCacheFields domain fields =
CacheDigest
(ByteArray.convert
(Crypto.hash input
:: Crypto.Digest Crypto.SHA256))
where
input =
encodeCache do
putCacheText domain
putCacheList putCacheBytes fields
type CachePut = Put.Put
type CacheGet = Get.Get
data CacheDecodeError
= CacheBinaryDecodeError !String
| CacheTrailingBytes !Word64
deriving stock (Show, Eq)
encodeCache :: CachePut -> ByteString
encodeCache =
LazyByteString.toStrict . Put.runPut
decodeCache
:: CacheGet value
-> ByteString
-> Either CacheDecodeError value
decodeCache decoder bytes =
case Get.runGetOrFail decoder (LazyByteString.fromStrict bytes) of
Left (_remaining, _offset, message) ->
Left (CacheBinaryDecodeError message)
Right (remaining, _offset, value)
| LazyByteString.null remaining ->
Right value
| otherwise ->
Left
(CacheTrailingBytes
(fromIntegral
(LazyByteString.length remaining)))
putCacheTag :: Word8 -> CachePut
putCacheTag =
Put.putWord8
getCacheTag :: CacheGet Word8
getCacheTag =
Get.getWord8
putCacheBytes :: ByteString -> CachePut
putCacheBytes bytes = do
Put.putWord64be
(fromIntegral (ByteString.length bytes))
Put.putByteString bytes
getCacheBytes :: CacheGet ByteString
getCacheBytes = do
byteCount <- Get.getWord64be
checkedByteCount <-
checkedCacheCount "byte string" byteCount
Get.getByteString checkedByteCount
putCacheText :: Text -> CachePut
putCacheText =
putCacheBytes . Text.encodeUtf8
getCacheText :: CacheGet Text
getCacheText = do
bytes <- getCacheBytes
case Text.decodeUtf8' bytes of
Left err ->
fail ("invalid cache UTF-8: " <> show err)
Right text ->
pure text
putCacheNatural :: Natural -> CachePut
putCacheNatural number =
putCacheBytes (naturalMagnitude number)
getCacheNatural :: CacheGet Natural
getCacheNatural = do
magnitude <- getCacheBytes
case ByteString.uncons magnitude of
Just (0, _) ->
fail "non-minimal cache natural"
_ ->
pure
(ByteString.foldl'
(\value byte ->
(value `shiftL` 8)
.|. fromIntegral byte)
0
magnitude)
putCacheInteger :: Integer -> CachePut
putCacheInteger integer
| integer < 0 = do
putCacheTag 0x01
putCacheNatural (fromInteger (negate integer))
| otherwise = do
putCacheTag 0x00
putCacheNatural (fromInteger integer)
getCacheInteger :: CacheGet Integer
getCacheInteger = do
sign <- getCacheTag
magnitude <- getCacheNatural
case sign of
0x00 ->
pure (toInteger magnitude)
0x01
| magnitude == 0 ->
fail "negative zero in cache integer"
| otherwise ->
pure (negate (toInteger magnitude))
_ ->
fail ("unknown cache integer sign " <> show sign)
putMathematicalDigestCache
:: MathematicalDigest
-> CachePut
putMathematicalDigestCache =
Put.putByteString . mathematicalDigestBytes
getMathematicalDigestCache :: CacheGet MathematicalDigest
getMathematicalDigestCache = do
bytes <- Get.getByteString 32
case mathematicalDigestFromBytes bytes of
Just digest ->
pure digest
Nothing ->
fail "cache mathematical digest is not 32 bytes"
putCacheDigest :: CacheDigest -> CachePut
putCacheDigest =
Put.putByteString . cacheDigestBytes
getCacheDigest :: CacheGet CacheDigest
getCacheDigest = do
bytes <- Get.getByteString 32
case cacheDigestFromBytes bytes of
Just digest ->
pure digest
Nothing ->
fail "cache digest is not 32 bytes"
putCacheList
:: (value -> CachePut)
-> [value]
-> CachePut
putCacheList putValue values = do
Put.putWord64be (fromIntegral (length values))
traverse_ putValue values
getCacheList
:: CacheGet value
-> CacheGet [value]
getCacheList getValue = do
rawCount <- Get.getWord64be
valueCount <- checkedCacheCount "list" rawCount
replicateM valueCount getValue
putCacheMaybe
:: (value -> CachePut)
-> Maybe value
-> CachePut
putCacheMaybe putValue = \case
Nothing ->
putCacheTag 0x00
Just value -> do
putCacheTag 0x01
putValue value
getCacheMaybe
:: CacheGet value
-> CacheGet (Maybe value)
getCacheMaybe getValue =
getCacheTag >>= \case
0x00 ->
pure Nothing
0x01 ->
Just <$> getValue
tag ->
fail ("unknown cache maybe tag " <> show tag)
-- | Maps are ordered by encoded semantic key, independently of runtime-map
-- traversal.
putCanonicalCacheMap
:: (key -> CachePut)
-> (value -> CachePut)
-> Map key value
-> CachePut
putCanonicalCacheMap putKey putValue entries =
putCacheList putEntry ordered
where
ordered =
List.sortOn fst
[ (encodeCache (putKey key), value)
| (key, value) <- Map.toList entries
]
putEntry (keyBytes, value) = do
putCacheBytes keyBytes
putCacheBytes (encodeCache (putValue value))
getCanonicalCacheMap
:: Ord key
=> CacheGet key
-> CacheGet value
-> CacheGet (Map key value)
getCanonicalCacheMap getKey getValue = do
encodedEntries <-
getCacheList
((,) <$> getCacheBytes <*> getCacheBytes)
verifyStrictlyAscending (fst <$> encodedEntries)
entries <- traverse decodeEntry encodedEntries
let result =
Map.fromList entries
unless
(Map.size result == length entries)
(fail "duplicate decoded cache map key")
pure result
where
decodeEntry (keyBytes, valueBytes) =
(,) <$> nested "map key" getKey keyBytes
<*> nested "map value" getValue valueBytes
nested description decoder bytes =
case decodeCache decoder bytes of
Left err ->
fail
("invalid cache "
<> description
<> ": "
<> show err)
Right value ->
pure value
verifyStrictlyAscending :: [ByteString] -> CacheGet ()
verifyStrictlyAscending = \case
left : right : rest
| left < right ->
verifyStrictlyAscending (right : rest)
| otherwise ->
fail "cache map keys are not in canonical order"
_ ->
pure ()
putCoreTypeCache :: CoreType -> CachePut
putCoreTypeCache = \case
TyProp ->
putCacheTag 0x00
TySet ->
putCacheTag 0x01
TyArrow domain codomain -> do
putCacheTag 0x02
putCoreTypeCache domain
putCoreTypeCache codomain
getCoreTypeCache :: CacheGet CoreType
getCoreTypeCache =
getCacheTag >>= \case
0x00 ->
pure TyProp
0x01 ->
pure TySet
0x02 ->
TyArrow
<$> getCoreTypeCache
<*> getCoreTypeCache
tag ->
fail ("unknown cache core-type tag " <> show tag)
putCoreIntrinsicTagCache :: CoreIntrinsicTag -> CachePut
putCoreIntrinsicTagCache =
putCacheTag . \case
Member ->
0x00
Empty ->
0x01
PairSet ->
0x02
FamilyUnion ->
0x03
PowerSet ->
0x04
Sep ->
0x05
Repl ->
0x06
SetChoose ->
0x07
UnivOf ->
0x08
ISetLfp ->
0x09
getCoreIntrinsicTagCache :: CacheGet CoreIntrinsicTag
getCoreIntrinsicTagCache =
getCacheTag >>= \case
0x00 ->
pure Member
0x01 ->
pure Empty
0x02 ->
pure PairSet
0x03 ->
pure FamilyUnion
0x04 ->
pure PowerSet
0x05 ->
pure Sep
0x06 ->
pure Repl
0x07 ->
pure SetChoose
0x08 ->
pure UnivOf
0x09 ->
pure ISetLfp
tag ->
fail ("unknown cache intrinsic tag " <> show tag)
putCanonicalTermCache
:: (global -> CachePut)
-> CanonicalTerm global
-> CachePut
putCanonicalTermCache putGlobal = \case
CBound index -> do
putCacheTag 0x00
putCacheNatural index
CGlobal global -> do
putCacheTag 0x01
putGlobal global
CIntrinsic intrinsic -> do
putCacheTag 0x02
putCoreIntrinsicTagCache intrinsic
COpaqueInteger integer -> do
putCacheTag 0x03
putCacheInteger integer
CApp function argument -> do
putCacheTag 0x04
putCanonicalTermCache putGlobal function
putCanonicalTermCache putGlobal argument
CLam binderType body -> do
putCacheTag 0x05
putCoreTypeCache binderType
putCanonicalTermCache putGlobal body
CFalsum ->
putCacheTag 0x06
CImp premise conclusion -> do
putCacheTag 0x07
putCanonicalTermCache putGlobal premise
putCanonicalTermCache putGlobal conclusion
CEq operandType left right -> do
putCacheTag 0x08
putCoreTypeCache operandType
putCanonicalTermCache putGlobal left
putCanonicalTermCache putGlobal right
CForall binderType body -> do
putCacheTag 0x09
putCoreTypeCache binderType
putCanonicalTermCache putGlobal body
getCanonicalTermCache
:: CacheGet global
-> CacheGet (CanonicalTerm global)
getCanonicalTermCache getGlobal =
getCacheTag >>= \case
0x00 ->
CBound <$> getCacheNatural
0x01 ->
CGlobal <$> getGlobal
0x02 ->
CIntrinsic <$> getCoreIntrinsicTagCache
0x03 ->
COpaqueInteger <$> getCacheInteger
0x04 ->
CApp
<$> getCanonicalTermCache getGlobal
<*> getCanonicalTermCache getGlobal
0x05 ->
CLam
<$> getCoreTypeCache
<*> getCanonicalTermCache getGlobal
0x06 ->
pure CFalsum
0x07 ->
CImp
<$> getCanonicalTermCache getGlobal
<*> getCanonicalTermCache getGlobal
0x08 ->
CEq
<$> getCoreTypeCache
<*> getCanonicalTermCache getGlobal
<*> getCanonicalTermCache getGlobal
0x09 ->
CForall
<$> getCoreTypeCache
<*> getCanonicalTermCache getGlobal
tag ->
fail ("unknown cache canonical-term tag " <> show tag)
naturalMagnitude :: Natural -> ByteString
naturalMagnitude number
| number == 0 =
ByteString.empty
| otherwise =
ByteString.reverse
(ByteString.unfoldr step number)
where
step 0 =
Nothing
step remaining =
Just
( fromIntegral (remaining `mod` 256)
, remaining `div` 256
)
checkedCacheCount :: String -> Word64 -> CacheGet Int
checkedCacheCount description supplied
| supplied > fromIntegral (maxBound :: Int) =
fail
("cache "
<> description
<> " length exceeds Int")
| otherwise =
pure (fromIntegral supplied)
|