Safe Haskell	None
Language	Haskell2010

LAoP.Dist.Internal

Synopsis

newtype Dist a = D (Matrix Prob () a)
type Prob = Double
type Countable a = KnownNat (Count a)
type CountableN a = KnownNat (Count (Normalize a))
type CountableDimensionsN a b = (CountableN a, CountableN b)
type FromListsN a b = FromLists Prob (Normalize a) (Normalize b)
type Liftable a b = (Bounded a, Bounded b, Enum a, Enum b, Eq b, Num Prob, Ord Prob)
type TrivialP a b = Normalize (a, b) ~ Normalize (Normalize a, Normalize b)
fmapD :: (Liftable a b, CountableDimensionsN a b, FromListsN b a) => (a -> b) -> Dist a -> Dist b
unitD :: Dist ()
multD :: (CountableDimensionsN a b, CountableN (a, b), FromListsN (a, b) a, FromListsN (a, b) b, TrivialP a b) => Dist a -> Dist b -> Dist (a, b)
selectD :: (FromListsN b b, CountableN b) => Dist (Either a b) -> Matrix Prob a b -> Dist b
branchD :: (Num e, CountableDimensionsN a b, CountableDimensionsN c (Either b c), FromListsN c b, FromListsN a b, FromListsN a a, FromListsN b b, FromListsN c c, FromListsN b a, FromListsN b c, FromListsN (Either b c) b, FromListsN (Either b c) c) => Dist (Either a b) -> Matrix Prob a c -> Matrix Prob b c -> Dist c
ifD :: (CountableDimensionsN a (Either () a), FromListsN a a, FromListsN a (), FromListsN () a, FromListsN (Either () a) a) => Dist Bool -> Dist a -> Dist a -> Dist a
returnD :: forall a. (Enum a, FromListsN () a, Countable a) => a -> Dist a
bindD :: Dist a -> Matrix Prob a b -> Dist b
(??) :: (Enum a, Countable a, FromListsN () a) => (a -> Bool) -> Dist a -> Prob
choose :: FromListsN () a => Prob -> Dist a
shape :: FromListsN () a => (Prob -> Prob) -> [a] -> Dist a
linear :: FromListsN () a => [a] -> Dist a
uniform :: FromListsN () a => [a] -> Dist a
negExp :: FromListsN () a => [a] -> Dist a
normal :: FromListsN () a => [a] -> Dist a
toValues :: forall a. (Enum a, Countable a, FromListsN () a) => Dist a -> [(a, Prob)]
prettyDist :: forall a. (Show a, Enum a, Countable a, FromListsN () a) => Dist a -> String
prettyPrintDist :: forall a. (Show a, Enum a, Countable a, FromListsN () a) => Dist a -> IO ()

Documentation

newtype Dist a Source #

Type synonym for column vector matrices. This represents a probability distribution.

Constructors

D (Matrix Prob () a)

Instances

Eq (Dist a) Source #
Instance details Defined in LAoP.Dist.Internal Methods (==) :: Dist a -> Dist a -> Bool # (/=) :: Dist a -> Dist a -> Bool #
Num (Dist a) Source #
Instance details Defined in LAoP.Dist.Internal Methods (+) :: Dist a -> Dist a -> Dist a # (-) :: Dist a -> Dist a -> Dist a # (*) :: Dist a -> Dist a -> Dist a # negate :: Dist a -> Dist a # abs :: Dist a -> Dist a # signum :: Dist a -> Dist a # fromInteger :: Integer -> Dist a #
Ord (Dist a) Source #
Instance details Defined in LAoP.Dist.Internal Methods compare :: Dist a -> Dist a -> Ordering # (<) :: Dist a -> Dist a -> Bool # (<=) :: Dist a -> Dist a -> Bool # (>) :: Dist a -> Dist a -> Bool # (>=) :: Dist a -> Dist a -> Bool # max :: Dist a -> Dist a -> Dist a # min :: Dist a -> Dist a -> Dist a #
Show (Dist a) Source #
Instance details Defined in LAoP.Dist.Internal Methods showsPrec :: Int -> Dist a -> ShowS # show :: Dist a -> String # showList :: [Dist a] -> ShowS #
NFData (Dist a) Source #
Instance details Defined in LAoP.Dist.Internal Methods rnf :: Dist a -> () #

type Prob = Double Source #

Type synonym for probability value

type Countable a = KnownNat (Count a) Source #

Constraint type synonyms to keep the type signatures less convoluted

type CountableN a = KnownNat (Count (Normalize a)) Source #

type CountableDimensionsN a b = (CountableN a, CountableN b) Source #

type FromListsN a b = FromLists Prob (Normalize a) (Normalize b) Source #

type Liftable a b = (Bounded a, Bounded b, Enum a, Enum b, Eq b, Num Prob, Ord Prob) Source #

type TrivialP a b = Normalize (a, b) ~ Normalize (Normalize a, Normalize b) Source #

fmapD :: (Liftable a b, CountableDimensionsN a b, FromListsN b a) => (a -> b) -> Dist a -> Dist b Source #

Functor instance

unitD :: Dist () Source #

Applicative/Monoidal instance unit function

multD :: (CountableDimensionsN a b, CountableN (a, b), FromListsN (a, b) a, FromListsN (a, b) b, TrivialP a b) => Dist a -> Dist b -> Dist (a, b) Source #

Applicative/Monoidal instance mult function

selectD :: (FromListsN b b, CountableN b) => Dist (Either a b) -> Matrix Prob a b -> Dist b Source #

Selective instance function

branchD :: (Num e, CountableDimensionsN a b, CountableDimensionsN c (Either b c), FromListsN c b, FromListsN a b, FromListsN a a, FromListsN b b, FromListsN c c, FromListsN b a, FromListsN b c, FromListsN (Either b c) b, FromListsN (Either b c) c) => Dist (Either a b) -> Matrix Prob a c -> Matrix Prob b c -> Dist c Source #

Chooses which of the two given effectful functions to apply to a given argument;

ifD :: (CountableDimensionsN a (Either () a), FromListsN a a, FromListsN a (), FromListsN () a, FromListsN (Either () a) a) => Dist Bool -> Dist a -> Dist a -> Dist a Source #

Branch on a Boolean value, skipping unnecessary computations.

returnD :: forall a. (Enum a, FromListsN () a, Countable a) => a -> Dist a Source #

Monad instance return function

bindD :: Dist a -> Matrix Prob a b -> Dist b Source #

Monad instance '(>>=)' function

(??) :: (Enum a, Countable a, FromListsN () a) => (a -> Bool) -> Dist a -> Prob Source #

Extract probabilities given an Event.

choose :: FromListsN () a => Prob -> Dist a Source #

Constructs a Bernoulli distribution

shape :: FromListsN () a => (Prob -> Prob) -> [a] -> Dist a Source #

Creates a distribution given a shape function

linear :: FromListsN () a => [a] -> Dist a Source #

Constructs a Linear distribution

uniform :: FromListsN () a => [a] -> Dist a Source #

Constructs an Uniform distribution

negExp :: FromListsN () a => [a] -> Dist a Source #

Constructs an Negative Exponential distribution

normal :: FromListsN () a => [a] -> Dist a Source #

Constructs an Normal distribution

toValues :: forall a. (Enum a, Countable a, FromListsN () a) => Dist a -> [(a, Prob)] Source #

Transforms a Dist into a list of pairs.

prettyDist :: forall a. (Show a, Enum a, Countable a, FromListsN () a) => Dist a -> String Source #

Pretty a distribution

prettyPrintDist :: forall a. (Show a, Enum a, Countable a, FromListsN () a) => Dist a -> IO () Source #

Pretty Print a distribution