Dependent finite maps (partial dependent products)

Provides a type called DMap which generalizes Data.Map.Map, allowing keys to specify the type of value that can be associated with them.

dependent-map

This library defines a dependently-typed finite map type. It is derived from Data.Map.Map in the containers package, but rather than (conceptually) storing pairs indexed by the first component, it stores DSums (from the dependent-sum package) indexed by tag. For example

{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE TemplateHaskell #-}
{-# LANGUAGE TypeFamilies #-}
module Example where

import Data.Constraint.Extras.TH (deriveArgDict)
import Data.Dependent.Map (DMap, fromList, singleton, union, unionWithKey)
import Data.Dependent.Sum ((==>))
import Data.Functor.Identity (Identity(..))
import Data.GADT.Compare.TH (deriveGCompare, deriveGEq)
import Data.GADT.Show.TH (deriveGShow)

data Tag a where
  StringKey :: Tag String
  IntKey    :: Tag Int
  DoubleKey :: Tag Double
deriveGEq ''Tag
deriveGCompare ''Tag
deriveGShow ''Tag
deriveArgDict ''Tag

x :: DMap Tag Identity
x = fromList [DoubleKey ==> pi, StringKey ==> "hello there"]

y :: DMap Tag Identity
y = singleton IntKey (Identity 42)

z :: DMap Tag Identity
z = y `union` fromList [DoubleKey ==> -1.1415926535897931]

addFoo :: Tag v -> Identity v -> Identity v -> Identity v
addFoo IntKey (Identity x) (Identity y) = Identity $ x + y
addFoo DoubleKey (Identity x) (Identity y) = Identity $ x + y
addFoo _ x _ = x

main :: IO ()
main = mapM_ print
  [ x, y, z
  , unionWithKey addFoo x z
  ]