added binary instances

.github/workflows/ormolu.yml

@@ -0,0 +1,16 @@
+name: Ormolu CI
+
+on:
+  push:
+    branches: [main, master]
+  pull_request:
+    branches: [main, master]
+
+jobs:
+  ormolu:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: haskell-actions/run-ormolu@v15
+        with:
+            version: "0.7.2.0"

galois-field.cabal

@@ -22,6 +22,7 @@ common warnings
 common deps
   build-depends:
     , base            >=4.18 && <5
+    , binary          >=0.8.9 && <0.9
     , bitvec ^>=1.1.3
     , groups >=0.4.1  && <0.6
     , integer-gmp     ^>=1.1

src/Data/Field/Galois/Base.hs

@@ -4,6 +4,7 @@ module Data.Field.Galois.Base
 where
 
 import Control.Monad.Random (Random)
+import Data.Binary (Binary)
 import Data.Field (Field)
 import Data.Group qualified as G (Group (..))
 import Data.Propagator (PropagatedNum)
@@ -28,7 +29,8 @@ class
     Random k,
     Show k,
     NFData k,
-    PropagatedNum k
+    PropagatedNum k,
+    Binary k
   ) =>
   GaloisField k
   where

src/Data/Field/Galois/Binary.hs

@@ -8,6 +8,7 @@ module Data.Field.Galois.Binary
 where
 
 import Control.Monad.Random (Random (..))
+import Data.Binary qualified as B
 import Data.Bit (Bit, F2Poly, gcdExt, toF2Poly, unF2Poly)
 import Data.Euclidean as S (Euclidean (..), GcdDomain)
 import Data.Field (Field)
@@ -48,6 +49,10 @@ instance Propagated (Binary p)
 
 instance (KnownNat p) => PropagatedNum (Binary p)
 
+instance B.Binary (Binary p) where
+  put (B x) = B.put (toInteger <$> V.toList (unF2Poly x))
+  get = B . toF2Poly . V.fromList . map (fromInteger @Bit) <$> B.get
+
 -- Binary fields are Galois fields.
 instance (KnownNat p) => GaloisField (Binary p) where
   char = const 2

src/Data/Field/Galois/Extension.hs

@@ -18,6 +18,7 @@ module Data.Field.Galois.Extension
 where
 
 import Control.Monad.Random (Random (..))
+import Data.Binary qualified as B
 import Data.Euclidean (Euclidean (..), GcdDomain, gcdExt)
 import Data.Field (Field)
 import Data.Field.Galois.Base (GaloisField (..))
@@ -54,6 +55,10 @@ class (GaloisField k) => ExtensionField k where
 newtype Extension p k = E (VPoly k)
   deriving (Eq, Generic, NFData, Ord, Show)
 
+instance (GaloisField k) => B.Binary (Extension p k) where
+  put (E x) = B.put (toList x)
+  get = E . fromList <$> B.get
+
 -- Extension fields are convertible.
 instance (IrreducibleMonic p k) => ExtensionField (Extension p k) where
   fromE = toList

src/Data/Field/Galois/Prime.hs

@@ -7,6 +7,7 @@ module Data.Field.Galois.Prime
 where
 
 import Control.Monad.Random (Random (..))
+import Data.Binary qualified as B
 import Data.Euclidean as S (Euclidean (..), GcdDomain)
 import Data.Field (Field)
 import Data.Field.Galois.Base (GaloisField (..))
@@ -42,6 +43,10 @@ instance (KnownNat p) => PropagatedNum (Prime p)
 instance Hashable (Prime p) where
   hashWithSalt s (P x) = hashWithSalt s (unMod x)
 
+instance (KnownNat p) => B.Binary (Prime p) where
+  put = B.put . fromP
+  get = P . fromInteger <$> B.get
+
 -- Prime fields are convertible.
 instance (KnownNat p) => PrimeField (Prime p) where
   fromP (P x) = naturalToInteger (unMod x)
@@ -111,7 +116,6 @@ instance (KnownNat p) => Pretty (Prime p) where
           then pretty x
           else text "-" <> pretty (abs (x - p))
 
-
 -- Prime fields are random.
 instance (KnownNat p) => Random (Prime p) where
   random = randomR (minBound, maxBound)