Safe Haskell	None
Language	Haskell2010

Voting.Protocol

Synopsis

module Voting.Protocol.Arithmetic
module Voting.Protocol.Version
module Voting.Protocol.Cryptography
module Voting.Protocol.Credential
module Voting.Protocol.Election
module Voting.Protocol.Tally
module Voting.Protocol.Trustee
module Voting.Protocol.FFC
data Natural
class RandomGen g
class Reifies (s :: k) a | s -> a where
- reflect :: proxy s -> a
reify :: a -> (forall s. Reifies s a => Proxy s -> r) -> r
data Proxy (t :: k) = Proxy

Documentation

module Voting.Protocol.Arithmetic

module Voting.Protocol.Version

module Voting.Protocol.Cryptography

module Voting.Protocol.Credential

module Voting.Protocol.Election

module Voting.Protocol.Tally

module Voting.Protocol.Trustee

module Voting.Protocol.FFC

data Natural #

Type representing arbitrary-precision non-negative integers.

>>> 2^100 :: Natural
1267650600228229401496703205376

Operations whose result would be negative throw (Underflow :: ArithException),

>>> -1 :: Natural
*** Exception: arithmetic underflow

Since: base-4.8.0.0

Instances

Instances details

Enum Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Enum Methods succ :: Natural -> Natural # pred :: Natural -> Natural # toEnum :: Int -> Natural # fromEnum :: Natural -> Int # enumFrom :: Natural -> [Natural] # enumFromThen :: Natural -> Natural -> [Natural] # enumFromTo :: Natural -> Natural -> [Natural] # enumFromThenTo :: Natural -> Natural -> Natural -> [Natural] #
Eq Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Natural Methods (==) :: Natural -> Natural -> Bool # (/=) :: Natural -> Natural -> Bool #
Integral Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods quot :: Natural -> Natural -> Natural # rem :: Natural -> Natural -> Natural # div :: Natural -> Natural -> Natural # mod :: Natural -> Natural -> Natural # quotRem :: Natural -> Natural -> (Natural, Natural) # divMod :: Natural -> Natural -> (Natural, Natural) # toInteger :: Natural -> Integer #
Num Natural	Note that `Natural`'s `Num` instance isn't a ring: no element but 0 has an additive inverse. It is a semiring though. Since: base-4.8.0.0
Instance details Defined in GHC.Num Methods (+) :: Natural -> Natural -> Natural # (-) :: Natural -> Natural -> Natural # (*) :: Natural -> Natural -> Natural # negate :: Natural -> Natural # abs :: Natural -> Natural # signum :: Natural -> Natural # fromInteger :: Integer -> Natural #
Ord Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Natural Methods compare :: Natural -> Natural -> Ordering # (<) :: Natural -> Natural -> Bool # (<=) :: Natural -> Natural -> Bool # (>) :: Natural -> Natural -> Bool # (>=) :: Natural -> Natural -> Bool # max :: Natural -> Natural -> Natural # min :: Natural -> Natural -> Natural #
Read Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Read Methods readsPrec :: Int -> ReadS Natural # readList :: ReadS [Natural] # readPrec :: ReadPrec Natural # readListPrec :: ReadPrec [Natural] #
Real Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Real Methods toRational :: Natural -> Rational #
Show Natural	Since: base-4.8.0.0
Instance details Defined in GHC.Show Methods showsPrec :: Int -> Natural -> ShowS # show :: Natural -> String # showList :: [Natural] -> ShowS #
Hashable Natural
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Natural -> Int # hash :: Natural -> Int #
ToJSON Natural
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Natural -> Value # toEncoding :: Natural -> Encoding # toJSONList :: [Natural] -> Value # toEncodingList :: [Natural] -> Encoding #
ToJSONKey Natural
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSONKey :: ToJSONKeyFunction Natural # toJSONKeyList :: ToJSONKeyFunction [Natural] #
FromJSON Natural
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser Natural # parseJSONList :: Value -> Parser [Natural] #
FromJSONKey Natural
Instance details Defined in Data.Aeson.Types.FromJSON Methods fromJSONKey :: FromJSONKeyFunction Natural # fromJSONKeyList :: FromJSONKeyFunction [Natural] #
Bits Natural	Since: base-4.8.0
Instance details Defined in Data.Bits Methods (.&.) :: Natural -> Natural -> Natural # (.\|.) :: Natural -> Natural -> Natural # xor :: Natural -> Natural -> Natural # complement :: Natural -> Natural # shift :: Natural -> Int -> Natural # rotate :: Natural -> Int -> Natural # zeroBits :: Natural # bit :: Int -> Natural # setBit :: Natural -> Int -> Natural # clearBit :: Natural -> Int -> Natural # complementBit :: Natural -> Int -> Natural # testBit :: Natural -> Int -> Bool # bitSizeMaybe :: Natural -> Maybe Int # bitSize :: Natural -> Int # isSigned :: Natural -> Bool # shiftL :: Natural -> Int -> Natural # unsafeShiftL :: Natural -> Int -> Natural # shiftR :: Natural -> Int -> Natural # unsafeShiftR :: Natural -> Int -> Natural # rotateL :: Natural -> Int -> Natural # rotateR :: Natural -> Int -> Natural # popCount :: Natural -> Int #
Subtractive Natural
Instance details Defined in Basement.Numerical.Subtractive Associated Types type Difference Natural # Methods (-) :: Natural -> Natural -> Difference Natural #
NFData Natural	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Natural -> () #
Random Natural Source #
Instance details Defined in Voting.Protocol.Utils Methods randomR :: RandomGen g => (Natural, Natural) -> g -> (Natural, g) # random :: RandomGen g => g -> (Natural, g) # randomRs :: RandomGen g => (Natural, Natural) -> g -> [Natural] # randoms :: RandomGen g => g -> [Natural] #
UniformRange Natural
Instance details Defined in System.Random.Internal Methods uniformRM :: StatefulGen g m => (Natural, Natural) -> g -> m Natural #
ToNatural Natural Source #
Instance details Defined in Voting.Protocol.Arithmetic Methods nat :: Natural -> Natural Source #
FromNatural Natural Source #
Instance details Defined in Voting.Protocol.Arithmetic Methods fromNatural :: Natural -> Natural Source #
Semiring Natural Source #
Instance details Defined in Voting.Protocol.Arithmetic Methods one :: Natural Source # (*) :: Natural -> Natural -> Natural Source #
Additive Natural Source #
Instance details Defined in Voting.Protocol.Arithmetic Methods zero :: Natural Source # (+) :: Natural -> Natural -> Natural Source # sum :: Foldable f => f Natural -> Natural Source #
Lift Natural
Instance details Defined in Language.Haskell.TH.Syntax Methods lift :: Natural -> Q Exp # liftTyped :: Natural -> Q (TExp Natural) #
type Difference Natural
Instance details Defined in Basement.Numerical.Subtractive type Difference Natural = Maybe Natural

class RandomGen g #

RandomGen is an interface to pure pseudo-random number generators.

StdGen is the standard RandomGen instance provided by this library.

Minimal complete definition

split, (genWord32 | genWord64 | next, genRange)

Instances

Instances details

RandomGen StdGen
Instance details Defined in System.Random.Internal Methods next :: StdGen -> (Int, StdGen) # genWord8 :: StdGen -> (Word8, StdGen) # genWord16 :: StdGen -> (Word16, StdGen) # genWord32 :: StdGen -> (Word32, StdGen) # genWord64 :: StdGen -> (Word64, StdGen) # genWord32R :: Word32 -> StdGen -> (Word32, StdGen) # genWord64R :: Word64 -> StdGen -> (Word64, StdGen) # genShortByteString :: Int -> StdGen -> (ShortByteString, StdGen) # genRange :: StdGen -> (Int, Int) # split :: StdGen -> (StdGen, StdGen) #
RandomGen SMGen
Instance details Defined in System.Random.Internal Methods next :: SMGen -> (Int, SMGen) # genWord8 :: SMGen -> (Word8, SMGen) # genWord16 :: SMGen -> (Word16, SMGen) # genWord32 :: SMGen -> (Word32, SMGen) # genWord64 :: SMGen -> (Word64, SMGen) # genWord32R :: Word32 -> SMGen -> (Word32, SMGen) # genWord64R :: Word64 -> SMGen -> (Word64, SMGen) # genShortByteString :: Int -> SMGen -> (ShortByteString, SMGen) # genRange :: SMGen -> (Int, Int) # split :: SMGen -> (SMGen, SMGen) #
RandomGen SMGen
Instance details Defined in System.Random.Internal Methods next :: SMGen -> (Int, SMGen) # genWord8 :: SMGen -> (Word8, SMGen) # genWord16 :: SMGen -> (Word16, SMGen) # genWord32 :: SMGen -> (Word32, SMGen) # genWord64 :: SMGen -> (Word64, SMGen) # genWord32R :: Word32 -> SMGen -> (Word32, SMGen) # genWord64R :: Word64 -> SMGen -> (Word64, SMGen) # genShortByteString :: Int -> SMGen -> (ShortByteString, SMGen) # genRange :: SMGen -> (Int, Int) # split :: SMGen -> (SMGen, SMGen) #
RandomGen g => RandomGen (AtomicGen g)
Instance details Defined in System.Random.Stateful Methods next :: AtomicGen g -> (Int, AtomicGen g) # genWord8 :: AtomicGen g -> (Word8, AtomicGen g) # genWord16 :: AtomicGen g -> (Word16, AtomicGen g) # genWord32 :: AtomicGen g -> (Word32, AtomicGen g) # genWord64 :: AtomicGen g -> (Word64, AtomicGen g) # genWord32R :: Word32 -> AtomicGen g -> (Word32, AtomicGen g) # genWord64R :: Word64 -> AtomicGen g -> (Word64, AtomicGen g) # genShortByteString :: Int -> AtomicGen g -> (ShortByteString, AtomicGen g) # genRange :: AtomicGen g -> (Int, Int) # split :: AtomicGen g -> (AtomicGen g, AtomicGen g) #
RandomGen g => RandomGen (IOGen g)
Instance details Defined in System.Random.Stateful Methods next :: IOGen g -> (Int, IOGen g) # genWord8 :: IOGen g -> (Word8, IOGen g) # genWord16 :: IOGen g -> (Word16, IOGen g) # genWord32 :: IOGen g -> (Word32, IOGen g) # genWord64 :: IOGen g -> (Word64, IOGen g) # genWord32R :: Word32 -> IOGen g -> (Word32, IOGen g) # genWord64R :: Word64 -> IOGen g -> (Word64, IOGen g) # genShortByteString :: Int -> IOGen g -> (ShortByteString, IOGen g) # genRange :: IOGen g -> (Int, Int) # split :: IOGen g -> (IOGen g, IOGen g) #
RandomGen g => RandomGen (STGen g)
Instance details Defined in System.Random.Stateful Methods next :: STGen g -> (Int, STGen g) # genWord8 :: STGen g -> (Word8, STGen g) # genWord16 :: STGen g -> (Word16, STGen g) # genWord32 :: STGen g -> (Word32, STGen g) # genWord64 :: STGen g -> (Word64, STGen g) # genWord32R :: Word32 -> STGen g -> (Word32, STGen g) # genWord64R :: Word64 -> STGen g -> (Word64, STGen g) # genShortByteString :: Int -> STGen g -> (ShortByteString, STGen g) # genRange :: STGen g -> (Int, Int) # split :: STGen g -> (STGen g, STGen g) #
RandomGen g => RandomGen (StateGen g)
Instance details Defined in System.Random.Internal Methods next :: StateGen g -> (Int, StateGen g) # genWord8 :: StateGen g -> (Word8, StateGen g) # genWord16 :: StateGen g -> (Word16, StateGen g) # genWord32 :: StateGen g -> (Word32, StateGen g) # genWord64 :: StateGen g -> (Word64, StateGen g) # genWord32R :: Word32 -> StateGen g -> (Word32, StateGen g) # genWord64R :: Word64 -> StateGen g -> (Word64, StateGen g) # genShortByteString :: Int -> StateGen g -> (ShortByteString, StateGen g) # genRange :: StateGen g -> (Int, Int) # split :: StateGen g -> (StateGen g, StateGen g) #

class Reifies (s :: k) a | s -> a where #

Methods

reflect :: proxy s -> a #

Recover a value inside a reify context, given a proxy for its reified type.

Instances

Instances details

KnownNat n => Reifies (n :: Nat) Integer
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> Integer #
KnownSymbol n => Reifies (n :: Symbol) String
Instance details Defined in Data.Reflection Methods reflect :: proxy n -> String #
Reifies Z Int
Instance details Defined in Data.Reflection Methods reflect :: proxy Z -> Int #
Reifies n Int => Reifies (D n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (D n) -> Int #
Reifies n Int => Reifies (SD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (SD n) -> Int #
Reifies n Int => Reifies (PD n :: Type) Int
Instance details Defined in Data.Reflection Methods reflect :: proxy (PD n) -> Int #
(VersionBranchVal branch, VersionTagsVal tags) => Reifies (V branch tags :: Type) Version Source #	Like a normal `reflect` but this one takes its `Version` from a type-level `V`ersion instead of a term-level `Version`.
Instance details Defined in Voting.Protocol.Version Methods reflect :: proxy (V branch tags) -> Version #
(B b0, B b1, B b2, B b3, B b4, B b5, B b6, B b7, w0 ~ W b0 b1 b2 b3, w1 ~ W b4 b5 b6 b7) => Reifies (Stable w0 w1 a :: Type) a
Instance details Defined in Data.Reflection Methods reflect :: proxy (Stable w0 w1 a) -> a #

reify :: a -> (forall s. Reifies s a => Proxy s -> r) -> r #

Reify a value at the type level, to be recovered with reflect.

data Proxy (t :: k) #

Proxy is a type that holds no data, but has a phantom parameter of arbitrary type (or even kind). Its use is to provide type information, even though there is no value available of that type (or it may be too costly to create one).

Historically, Proxy :: Proxy a is a safer alternative to the undefined :: a idiom.

>>> Proxy :: Proxy (Void, Int -> Int)
Proxy

Proxy can even hold types of higher kinds,

>>> Proxy :: Proxy Either
Proxy

>>> Proxy :: Proxy Functor
Proxy

>>> Proxy :: Proxy complicatedStructure
Proxy

Constructors

Proxy

Instances

Instances details

Generic1 (Proxy :: k -> Type)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep1 Proxy :: k -> Type # Methods from1 :: forall (a :: k0). Proxy a -> Rep1 Proxy a # to1 :: forall (a :: k0). Rep1 Proxy a -> Proxy a #
Monad (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (>>=) :: Proxy a -> (a -> Proxy b) -> Proxy b # (>>) :: Proxy a -> Proxy b -> Proxy b # return :: a -> Proxy a #
Functor (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods fmap :: (a -> b) -> Proxy a -> Proxy b # (<$) :: a -> Proxy b -> Proxy a #
Applicative (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods pure :: a -> Proxy a # (<>) :: Proxy (a -> b) -> Proxy a -> Proxy b # liftA2 :: (a -> b -> c) -> Proxy a -> Proxy b -> Proxy c # (>) :: Proxy a -> Proxy b -> Proxy b # (<*) :: Proxy a -> Proxy b -> Proxy a #
Foldable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Foldable Methods fold :: Monoid m => Proxy m -> m # foldMap :: Monoid m => (a -> m) -> Proxy a -> m # foldMap' :: Monoid m => (a -> m) -> Proxy a -> m # foldr :: (a -> b -> b) -> b -> Proxy a -> b # foldr' :: (a -> b -> b) -> b -> Proxy a -> b # foldl :: (b -> a -> b) -> b -> Proxy a -> b # foldl' :: (b -> a -> b) -> b -> Proxy a -> b # foldr1 :: (a -> a -> a) -> Proxy a -> a # foldl1 :: (a -> a -> a) -> Proxy a -> a # toList :: Proxy a -> [a] # null :: Proxy a -> Bool # length :: Proxy a -> Int # elem :: Eq a => a -> Proxy a -> Bool # maximum :: Ord a => Proxy a -> a # minimum :: Ord a => Proxy a -> a # sum :: Num a => Proxy a -> a # product :: Num a => Proxy a -> a #
Traversable (Proxy :: Type -> Type)	Since: base-4.7.0.0
Instance details Defined in Data.Traversable Methods traverse :: Applicative f => (a -> f b) -> Proxy a -> f (Proxy b) # sequenceA :: Applicative f => Proxy (f a) -> f (Proxy a) # mapM :: Monad m => (a -> m b) -> Proxy a -> m (Proxy b) # sequence :: Monad m => Proxy (m a) -> m (Proxy a) #
ToJSON1 (Proxy :: Type -> Type)
Instance details Defined in Data.Aeson.Types.ToJSON Methods liftToJSON :: (a -> Value) -> ([a] -> Value) -> Proxy a -> Value # liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Proxy a] -> Value # liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Proxy a -> Encoding # liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Proxy a] -> Encoding #
FromJSON1 (Proxy :: Type -> Type)
Instance details Defined in Data.Aeson.Types.FromJSON Methods liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Proxy a) # liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Proxy a] #
Alternative (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods empty :: Proxy a # (<\|>) :: Proxy a -> Proxy a -> Proxy a # some :: Proxy a -> Proxy [a] # many :: Proxy a -> Proxy [a] #
MonadPlus (Proxy :: Type -> Type)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods mzero :: Proxy a # mplus :: Proxy a -> Proxy a -> Proxy a #
NFData1 (Proxy :: Type -> Type)	Since: deepseq-1.4.3.0
Instance details Defined in Control.DeepSeq Methods liftRnf :: (a -> ()) -> Proxy a -> () #
Hashable1 (Proxy :: Type -> Type)
Instance details Defined in Data.Hashable.Class Methods liftHashWithSalt :: (Int -> a -> Int) -> Int -> Proxy a -> Int #
Bounded (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods minBound :: Proxy t # maxBound :: Proxy t #
Enum (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods succ :: Proxy s -> Proxy s # pred :: Proxy s -> Proxy s # toEnum :: Int -> Proxy s # fromEnum :: Proxy s -> Int # enumFrom :: Proxy s -> [Proxy s] # enumFromThen :: Proxy s -> Proxy s -> [Proxy s] # enumFromTo :: Proxy s -> Proxy s -> [Proxy s] # enumFromThenTo :: Proxy s -> Proxy s -> Proxy s -> [Proxy s] #
Eq (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods (==) :: Proxy s -> Proxy s -> Bool # (/=) :: Proxy s -> Proxy s -> Bool #
Ord (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods compare :: Proxy s -> Proxy s -> Ordering # (<) :: Proxy s -> Proxy s -> Bool # (<=) :: Proxy s -> Proxy s -> Bool # (>) :: Proxy s -> Proxy s -> Bool # (>=) :: Proxy s -> Proxy s -> Bool # max :: Proxy s -> Proxy s -> Proxy s # min :: Proxy s -> Proxy s -> Proxy s #
Read (Proxy t)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods readsPrec :: Int -> ReadS (Proxy t) # readList :: ReadS [Proxy t] # readPrec :: ReadPrec (Proxy t) # readListPrec :: ReadPrec [Proxy t] #
Show (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods showsPrec :: Int -> Proxy s -> ShowS # show :: Proxy s -> String # showList :: [Proxy s] -> ShowS #
Ix (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods range :: (Proxy s, Proxy s) -> [Proxy s] # index :: (Proxy s, Proxy s) -> Proxy s -> Int # unsafeIndex :: (Proxy s, Proxy s) -> Proxy s -> Int # inRange :: (Proxy s, Proxy s) -> Proxy s -> Bool # rangeSize :: (Proxy s, Proxy s) -> Int # unsafeRangeSize :: (Proxy s, Proxy s) -> Int #
Generic (Proxy t)	Since: base-4.6.0.0
Instance details Defined in GHC.Generics Associated Types type Rep (Proxy t) :: Type -> Type # Methods from :: Proxy t -> Rep (Proxy t) x # to :: Rep (Proxy t) x -> Proxy t #
Semigroup (Proxy s)	Since: base-4.9.0.0
Instance details Defined in Data.Proxy Methods (<>) :: Proxy s -> Proxy s -> Proxy s # sconcat :: NonEmpty (Proxy s) -> Proxy s # stimes :: Integral b => b -> Proxy s -> Proxy s #
Monoid (Proxy s)	Since: base-4.7.0.0
Instance details Defined in Data.Proxy Methods mempty :: Proxy s # mappend :: Proxy s -> Proxy s -> Proxy s # mconcat :: [Proxy s] -> Proxy s #
Hashable (Proxy a)
Instance details Defined in Data.Hashable.Class Methods hashWithSalt :: Int -> Proxy a -> Int # hash :: Proxy a -> Int #
ToJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.ToJSON Methods toJSON :: Proxy a -> Value # toEncoding :: Proxy a -> Encoding # toJSONList :: [Proxy a] -> Value # toEncodingList :: [Proxy a] -> Encoding #
FromJSON (Proxy a)
Instance details Defined in Data.Aeson.Types.FromJSON Methods parseJSON :: Value -> Parser (Proxy a) # parseJSONList :: Value -> Parser [Proxy a] #
NFData (Proxy a)	Since: deepseq-1.4.0.0
Instance details Defined in Control.DeepSeq Methods rnf :: Proxy a -> () #
type Rep1 (Proxy :: k -> Type)
Instance details Defined in GHC.Generics type Rep1 (Proxy :: k -> Type) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: k -> Type))
type Rep (Proxy t)
Instance details Defined in GHC.Generics type Rep (Proxy t) = D1 ('MetaData "Proxy" "Data.Proxy" "base" 'False) (C1 ('MetaCons "Proxy" 'PrefixI 'False) (U1 :: Type -> Type))