Copyright	(c) Brian Huffman
License	BSD3
Maintainer	erkokl@gmail.com
Stability	experimental
Safe Haskell	None
Language	Haskell2010

Documentation.SBV.Examples.Misc.Word4

Description

Demonstrates how new sizes of word/int types can be defined and used with SBV.

Synopsis

newtype Word4 = Word4 Word8
word4 :: Word8 -> Word4
type SWord4 = SBV Word4

Documentation

newtype Word4 #

Word4 as a newtype. Invariant: Word4 x should satisfy x < 16.

Constructors

Word4 Word8

Instances

Bounded Word4 #	Bounded instance; from 0 to 255
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods minBound :: Word4 # maxBound :: Word4 #
Enum Word4 #	Enum instance, trivial definitions.
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods succ :: Word4 -> Word4 # pred :: Word4 -> Word4 # toEnum :: Int -> Word4 # fromEnum :: Word4 -> Int # enumFrom :: Word4 -> [Word4] # enumFromThen :: Word4 -> Word4 -> [Word4] # enumFromTo :: Word4 -> Word4 -> [Word4] # enumFromThenTo :: Word4 -> Word4 -> Word4 -> [Word4] #
Eq Word4 #
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods (==) :: Word4 -> Word4 -> Bool # (/=) :: Word4 -> Word4 -> Bool #
Integral Word4 #	Integral instance, again using Word8 instance and casting. NB. we do not need to use the smart constructor here as neither the quotient nor the remainder can overflow a Word4.
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods quot :: Word4 -> Word4 -> Word4 # rem :: Word4 -> Word4 -> Word4 # div :: Word4 -> Word4 -> Word4 # mod :: Word4 -> Word4 -> Word4 # quotRem :: Word4 -> Word4 -> (Word4, Word4) # divMod :: Word4 -> Word4 -> (Word4, Word4) # toInteger :: Word4 -> Integer #
Data Word4 #
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Word4 -> c Word4 # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c Word4 # toConstr :: Word4 -> Constr # dataTypeOf :: Word4 -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c Word4) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c Word4) # gmapT :: (forall b. Data b => b -> b) -> Word4 -> Word4 # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Word4 -> r # gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Word4 -> r # gmapQ :: (forall d. Data d => d -> u) -> Word4 -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> Word4 -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> Word4 -> m Word4 # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Word4 -> m Word4 # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Word4 -> m Word4 #
Num Word4 #	Num instance, merely lifts underlying 8-bit operation and casts back
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods (+) :: Word4 -> Word4 -> Word4 # (-) :: Word4 -> Word4 -> Word4 # (*) :: Word4 -> Word4 -> Word4 # negate :: Word4 -> Word4 # abs :: Word4 -> Word4 # signum :: Word4 -> Word4 # fromInteger :: Integer -> Word4 #
Ord Word4 #
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods compare :: Word4 -> Word4 -> Ordering # (<) :: Word4 -> Word4 -> Bool # (<=) :: Word4 -> Word4 -> Bool # (>) :: Word4 -> Word4 -> Bool # (>=) :: Word4 -> Word4 -> Bool # max :: Word4 -> Word4 -> Word4 # min :: Word4 -> Word4 -> Word4 #
Read Word4 #	Read instance. We read as an 8-bit word, and coerce
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods readsPrec :: Int -> ReadS Word4 # readList :: ReadS [Word4] # readPrec :: ReadPrec Word4 # readListPrec :: ReadPrec [Word4] #
Real Word4 #	Real instance simply uses the Word8 instance
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods toRational :: Word4 -> Rational #
Show Word4 #	Show instance
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods showsPrec :: Int -> Word4 -> ShowS # show :: Word4 -> String # showList :: [Word4] -> ShowS #
Bits Word4 #	Bits instance
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods (.&.) :: Word4 -> Word4 -> Word4 # (.\|.) :: Word4 -> Word4 -> Word4 # xor :: Word4 -> Word4 -> Word4 # complement :: Word4 -> Word4 # shift :: Word4 -> Int -> Word4 # rotate :: Word4 -> Int -> Word4 # zeroBits :: Word4 # bit :: Int -> Word4 # setBit :: Word4 -> Int -> Word4 # clearBit :: Word4 -> Int -> Word4 # complementBit :: Word4 -> Int -> Word4 # testBit :: Word4 -> Int -> Bool # bitSizeMaybe :: Word4 -> Maybe Int # bitSize :: Word4 -> Int # isSigned :: Word4 -> Bool # shiftL :: Word4 -> Int -> Word4 # unsafeShiftL :: Word4 -> Int -> Word4 # shiftR :: Word4 -> Int -> Word4 # unsafeShiftR :: Word4 -> Int -> Word4 # rotateL :: Word4 -> Int -> Word4 # rotateR :: Word4 -> Int -> Word4 # popCount :: Word4 -> Int #
Random Word4 #	Random instance, used in quick-check
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods randomR :: RandomGen g => (Word4, Word4) -> g -> (Word4, g) # random :: RandomGen g => g -> (Word4, g) # randomRs :: RandomGen g => (Word4, Word4) -> g -> [Word4] # randoms :: RandomGen g => g -> [Word4] # randomRIO :: (Word4, Word4) -> IO Word4 # randomIO :: IO Word4 #
HasKind Word4 #	HasKind instance; simply returning the underlying kind for the type
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods kindOf :: Word4 -> Kind # hasSign :: Word4 -> Bool # intSizeOf :: Word4 -> Int # isBoolean :: Word4 -> Bool # isBounded :: Word4 -> Bool # isReal :: Word4 -> Bool # isFloat :: Word4 -> Bool # isDouble :: Word4 -> Bool # isInteger :: Word4 -> Bool # isUninterpreted :: Word4 -> Bool # isChar :: Word4 -> Bool # isString :: Word4 -> Bool # isList :: Word4 -> Bool # showType :: Word4 -> String #
SymWord Word4 #	SymWord instance, allowing this type to be used in proofs/sat etc.
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods forall :: String -> Symbolic (SBV Word4) # forall_ :: Symbolic (SBV Word4) # mkForallVars :: Int -> Symbolic [SBV Word4] # exists :: String -> Symbolic (SBV Word4) # exists_ :: Symbolic (SBV Word4) # mkExistVars :: Int -> Symbolic [SBV Word4] # free :: String -> Symbolic (SBV Word4) # free_ :: Symbolic (SBV Word4) # mkFreeVars :: Int -> Symbolic [SBV Word4] # symbolic :: String -> Symbolic (SBV Word4) # symbolics :: [String] -> Symbolic [SBV Word4] # literal :: Word4 -> SBV Word4 # unliteral :: SBV Word4 -> Maybe Word4 # fromCW :: CW -> Word4 # isConcrete :: SBV Word4 -> Bool # isSymbolic :: SBV Word4 -> Bool # isConcretely :: SBV Word4 -> (Word4 -> Bool) -> Bool # mkSymWord :: Maybe Quantifier -> Maybe String -> Symbolic (SBV Word4) #
SatModel Word4 #	SatModel instance, merely uses the generic parsing method.
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods parseCWs :: [CW] -> Maybe (Word4, [CW]) # cvtModel :: (Word4 -> Maybe b) -> Maybe (Word4, [CW]) -> Maybe (b, [CW]) #
SDivisible SWord4 #	SDvisible instance, using default methods
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods sQuotRem :: SWord4 -> SWord4 -> (SWord4, SWord4) # sDivMod :: SWord4 -> SWord4 -> (SWord4, SWord4) # sQuot :: SWord4 -> SWord4 -> SWord4 # sRem :: SWord4 -> SWord4 -> SWord4 # sDiv :: SWord4 -> SWord4 -> SWord4 # sMod :: SWord4 -> SWord4 -> SWord4 #
SDivisible Word4 #	SDvisible instance, using 0-extension
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods sQuotRem :: Word4 -> Word4 -> (Word4, Word4) # sDivMod :: Word4 -> Word4 -> (Word4, Word4) # sQuot :: Word4 -> Word4 -> Word4 # sRem :: Word4 -> Word4 -> Word4 # sDiv :: Word4 -> Word4 -> Word4 # sMod :: Word4 -> Word4 -> Word4 #
SIntegral Word4 #	SIntegral instance, using default methods
Instance details Defined in Documentation.SBV.Examples.Misc.Word4
Splittable Word8 Word4 #	Joiningsplitting tofrom Word8
Instance details Defined in Documentation.SBV.Examples.Misc.Word4 Methods split :: Word8 -> (Word4, Word4) # (#) :: Word4 -> Word4 -> Word8 # extend :: Word4 -> Word8 #

word4 :: Word8 -> Word4 #

Smart constructor; simplifies conversion from Word8

type SWord4 = SBV Word4 #

SWord4 type synonym