--- /dev/null
+{-# LANGUAGE TypeFamilies, TypeOperators, ScopedTypeVariables, FlexibleInstances, TemplateHaskell, Rank2Types, FlexibleContexts #-}
+module Data.Param.Index
+ ( Index
+ , fromNaturalT
+ , fromUnsigned
+ , rangeT
+ ) where
+
+import Language.Haskell.TH
+import Language.Haskell.TH.Syntax (Lift(..))
+import Data.Bits
+import Types
+import Types.Data.Num.Decimal.Literals.TH
+
+import Data.Param.Integer
+
+instance NaturalT nT => Lift (Index nT) where
+ lift (Index i) = sigE [| (Index i) |] (decIndexT (fromIntegerT (undefined :: nT)))
+
+decIndexT :: Integer -> Q Type
+decIndexT n = appT (conT (''Index)) (decLiteralT n)
+
+fromNaturalT :: ( NaturalT n
+ , NaturalT upper
+ , (n :<=: upper) ~ True ) => n -> Index upper
+fromNaturalT x = Index (fromIntegerT x)
+
+fromUnsigned ::
+ ( NaturalT nT
+ , Integral (Unsigned nT)
+ ) => Unsigned nT -> Index ((Pow2 nT) :-: D1)
+fromUnsigned unsigned = Index (toInteger unsigned)
+
+rangeT :: Index nT -> nT
+rangeT _ = undefined
+
+instance NaturalT nT => Eq (Index nT) where
+ (Index x) == (Index y) = x == y
+ (Index x) /= (Index y) = x /= y
+
+instance NaturalT nT => Show (Index nT) where
+ showsPrec prec n =
+ showsPrec prec $ toInteger n
+
+instance NaturalT nT => Ord (Index nT) where
+ a `compare` b = toInteger a `compare` toInteger b
+
+instance NaturalT nT => Bounded (Index nT) where
+ minBound = 0
+ maxBound = Index (fromIntegerT (undefined :: nT))
+
+instance NaturalT nT => Enum (Index nT) where
+ succ x
+ | x == maxBound = error $ "Enum.succ{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `succ' of maxBound"
+ | otherwise = x + 1
+ pred x
+ | x == minBound = error $ "Enum.succ{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `pred' of minBound"
+ | otherwise = x - 1
+
+ fromEnum (Index x)
+ | x > toInteger (maxBound :: Int) =
+ error $ "Enum.fromEnum{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Index greater than maxBound :: Int"
+ | x < toInteger (minBound :: Int) =
+ error $ "Enum.fromEnum{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Index smaller than minBound :: Int"
+ | otherwise =
+ fromInteger x
+ toEnum x
+ | x > fromIntegral (maxBound :: Index nT) =
+ error $ "Enum.fromEnum{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Index greater than maxBound :: Index " ++ show (fromIntegerT (undefined :: nT))
+ | x < fromIntegral (minBound :: Index nT) =
+ error $ "Enum.fromEnum{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to take `fromEnum' on Index smaller than minBound :: Index " ++ show (fromIntegerT (undefined :: nT))
+ | otherwise =
+ fromInteger $ toInteger x
+
+instance NaturalT nT => Num (Index nT) where
+ (Index a) + (Index b) =
+ fromInteger $ a + b
+ (Index a) * (Index b) =
+ fromInteger $ a * b
+ (Index a) - (Index b) =
+ fromInteger $ a - b
+ fromInteger n
+ | n > fromIntegerT (undefined :: nT) =
+ error $ "Num.fromInteger{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to make Index larger than " ++ show (fromIntegerT (undefined :: nT)) ++ ", n: " ++ show n
+ fromInteger n
+ | n < 0 =
+ error $ "Num.fromInteger{Index " ++ show (fromIntegerT (undefined :: nT)) ++ "}: tried to make Index smaller than 0, n: " ++ show n
+ fromInteger n =
+ Index n
+ abs s = s
+ signum s
+ | s == 0 =
+ 0
+ | otherwise =
+ 1
+
+instance NaturalT nT => Real (Index nT) where
+ toRational n = toRational $ toInteger n
+
+instance NaturalT nT => Integral (Index nT) where
+ a `quotRem` b =
+ let (quot, rem) = toInteger a `quotRem` toInteger b
+ in (fromInteger quot, fromInteger rem)
+ toInteger s@(Index x) = x