{-# LANGUAGE DerivingVia #-} {-# LANGUAGE LinearTypes #-} {-# LANGUAGE StandaloneDeriving #-} {-# LANGUAGE NoImplicitPrelude #-} {-# OPTIONS_HADDOCK hide #-} -- | This module provides a linear 'Eq' class for testing equality between -- values, along with standard instances. module Data.Ord.Linear.Internal.Eq ( Eq (..), ) where import Data.Bool.Linear import Data.Int (Int16, Int32, Int64, Int8) import Data.Unrestricted.Linear import Data.Word (Word16, Word32, Word64, Word8) import Prelude.Linear.Internal import qualified Prelude -- | Testing equality on values. -- -- The laws are that (==) and (/=) are compatible -- and (==) is an equivalence relation. So, for all @x@, @y@, @z@, -- -- * @x == x@ always -- * @x == y@ implies @y == x@ -- * @x == y@ and @y == z@ implies @x == z@ -- * @(x == y)@ ≌ @not (x /= y)@ class Eq a where {-# MINIMAL (==) | (/=) #-} (==) :: a %1 -> a %1 -> Bool x == y = not (x /= y) infix 4 == -- same fixity as base.== (/=) :: a %1 -> a %1 -> Bool x /= y = not (x == y) infix 4 /= -- same fixity as base./= -- * Instances instance Prelude.Eq a => Eq (Ur a) where Ur x == Ur y = x Prelude.== y Ur x /= Ur y = x Prelude./= y instance (Consumable a, Eq a) => Eq [a] where [] == [] = True (x : xs) == (y : ys) = x == y && xs == ys xs == ys = (xs, ys) `lseq` False instance (Consumable a, Eq a) => Eq (Prelude.Maybe a) where Prelude.Nothing == Prelude.Nothing = True Prelude.Just x == Prelude.Just y = x == y x == y = (x, y) `lseq` False instance (Consumable a, Consumable b, Eq a, Eq b) => Eq (Prelude.Either a b) where Prelude.Left x == Prelude.Left y = x == y Prelude.Right x == Prelude.Right y = x == y x == y = (x, y) `lseq` False instance (Eq a, Eq b) => Eq (a, b) where (a, b) == (a', b') = a == a' && b == b' instance (Eq a, Eq b, Eq c) => Eq (a, b, c) where (a, b, c) == (a', b', c') = a == a' && b == b' && c == c' instance (Eq a, Eq b, Eq c, Eq d) => Eq (a, b, c, d) where (a, b, c, d) == (a', b', c', d') = a == a' && b == b' && c == c' && d == d' deriving via MovableEq () instance Eq () deriving via MovableEq Prelude.Int instance Eq Prelude.Int deriving via MovableEq Prelude.Double instance Eq Prelude.Double deriving via MovableEq Prelude.Bool instance Eq Prelude.Bool deriving via MovableEq Prelude.Char instance Eq Prelude.Char deriving via MovableEq Prelude.Ordering instance Eq Prelude.Ordering deriving via MovableEq Int16 instance Eq Int16 deriving via MovableEq Int32 instance Eq Int32 deriving via MovableEq Int64 instance Eq Int64 deriving via MovableEq Int8 instance Eq Int8 deriving via MovableEq Word16 instance Eq Word16 deriving via MovableEq Word32 instance Eq Word32 deriving via MovableEq Word64 instance Eq Word64 deriving via MovableEq Word8 instance Eq Word8 newtype MovableEq a = MovableEq a instance (Prelude.Eq a, Movable a) => Eq (MovableEq a) where MovableEq ar == MovableEq br = move (ar, br) & \(Ur (a, b)) -> a Prelude.== b MovableEq ar /= MovableEq br = move (ar, br) & \(Ur (a, b)) -> a Prelude./= b