{-# LANGUAGE BangPatterns #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE GeneralizedNewtypeDeriving #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE MagicHash #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE UnboxedTuples #-}
module Math.NumberTheory.Moduli.Class
(
Mod
, getVal
, getNatVal
, getMod
, getNatMod
, invertMod
, powMod
, (^%)
, MultMod
, multElement
, isMultElement
, invertGroup
, SomeMod(..)
, modulo
, invertSomeMod
, powSomeMod
, KnownNat
) where
import Data.Mod
import GHC.Natural
import GHC.TypeNats (KnownNat, natVal)
import Math.NumberTheory.Moduli.Multiplicative
import Math.NumberTheory.Moduli.SomeMod
getMod :: KnownNat m => Mod m -> Integer
getMod = toInteger . natVal
{-# INLINE getMod #-}
getNatMod :: KnownNat m => Mod m -> Natural
getNatMod = natVal
{-# INLINE getNatMod #-}
getVal :: Mod m -> Integer
getVal = toInteger . unMod
{-# INLINE getVal #-}
getNatVal :: Mod m -> Natural
getNatVal = unMod
{-# INLINE getNatVal #-}
powMod :: (KnownNat m, Integral a) => Mod m -> a -> Mod m
powMod = (^%)
{-# INLINE powMod #-}