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acme-numbersystem 0.1.0.0 → 0.2.0.0

raw patch · 2 files changed

+14/−7 lines, 2 files

Files

Acme/NumberSystem.hs view
@@ -1,14 +1,21 @@-{-# LANGUAGE TemplateHaskell, ConstraintKinds #-}+{-# LANGUAGE TemplateHaskell, ConstraintKinds, TypeFamilies, DataKinds, MultiParamTypeClasses #-} module Acme.NumberSystem where  import GHC.TypeLits import Language.Haskell.TH  type Less = (<=)+type family Sub (m :: Nat) (n :: Nat) :: Nat  -- | Define the less than relation for numbers up to a number using Template Haskell.+-- | Also define subtraction. -- | E.g. numberSystem 100 numberSystem :: Integer -> Q [Dec]-numberSystem theBiggestNumber = return . concat $ map (\i -> map (\j ->-      InstanceD [] (AppT (AppT (ConT (''Less)) (LitT (NumTyLit i))  ) (LitT (NumTyLit j))) []-      ) [i..theBiggestNumber]) [1..theBiggestNumber]+numberSystem theBiggestNumber = return . concat $ lessThan ++ subs+  where+    lessThan = map (\i -> map (\j ->+      InstanceD [] (AppT (AppT (ConT (''Less)) (LitT (NumTyLit i))) (LitT (NumTyLit j))) []+      ) [i..theBiggestNumber]) [0..theBiggestNumber]+    subs = map (\i -> map (\j ->+      TySynInstD ''Sub [LitT (NumTyLit j), LitT (NumTyLit i)] (LitT (NumTyLit (j - i)))+      ) [i..theBiggestNumber]) [0..theBiggestNumber]
acme-numbersystem.cabal view
@@ -1,7 +1,7 @@ name:                acme-numbersystem-version:             0.1.0.0-synopsis:            Define the less than relation for numbers up to a number-description:         Define the less than relation for numbers up to a number using Template Haskell.+version:             0.2.0.0+synopsis:            Define the less than and subtraction for nats+description:         Define the less than relation and subtraction for numbers up to a number by using Template Haskell. license:             BSD3 license-file:        LICENSE author:              Maxwell Swadling