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|
-- |
-- Module: Math.NumberTheory.TestUtils.Wrappers
-- Copyright: (c) 2016 Andrew Lelechenko
-- Licence: MIT
-- Maintainer: Andrew Lelechenko <andrew.lelechenko@gmail.com>
--
-- Utils to test Math.NumberTheory
--
{-# LANGUAGE DeriveFoldable #-}
{-# LANGUAGE DeriveFunctor #-}
{-# LANGUAGE DeriveTraversable #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE GeneralizedNewtypeDeriving #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# OPTIONS_GHC -fno-warn-orphans #-}
module Math.NumberTheory.TestUtils.Wrappers
( AnySign(..)
, Power(..)
, Huge(..)
) where
import Control.Applicative
import Data.Functor.Classes
import Test.Tasty.QuickCheck as QC hiding (Positive(..), NonNegative(..))
import Test.SmallCheck.Series (Positive(..), NonNegative(..), Serial(..), Series)
-------------------------------------------------------------------------------
-- AnySign
newtype AnySign a = AnySign { getAnySign :: a }
deriving (Eq, Ord, Read, Show, Num, Enum, Bounded, Integral, Real, Functor, Foldable, Traversable, Arbitrary)
instance (Monad m, Serial m a) => Serial m (AnySign a) where
series = AnySign <$> series
instance Eq1 AnySign where
liftEq eq (AnySign a) (AnySign b) = a `eq` b
instance Ord1 AnySign where
liftCompare cmp (AnySign a) (AnySign b) = a `cmp` b
instance Show1 AnySign where
liftShowsPrec shw _ p (AnySign a) = shw p a
-------------------------------------------------------------------------------
-- Positive from smallcheck
instance (Num a, Ord a, Arbitrary a) => Arbitrary (Positive a) where
arbitrary = Positive <$> (arbitrary `suchThat` (> 0))
shrink (Positive x) = Positive <$> filter (> 0) (shrink x)
instance Eq1 Positive where
liftEq eq (Positive a) (Positive b) = a `eq` b
instance Ord1 Positive where
liftCompare cmp (Positive a) (Positive b) = a `cmp` b
instance Show1 Positive where
liftShowsPrec shw _ p (Positive a) = shw p a
-------------------------------------------------------------------------------
-- NonNegative from smallcheck
instance (Num a, Ord a, Arbitrary a) => Arbitrary (NonNegative a) where
arbitrary = NonNegative <$> (arbitrary `suchThat` (>= 0))
shrink (NonNegative x) = NonNegative <$> filter (>= 0) (shrink x)
instance Eq1 NonNegative where
liftEq eq (NonNegative a) (NonNegative b) = a `eq` b
instance Ord1 NonNegative where
liftCompare cmp (NonNegative a) (NonNegative b) = a `cmp` b
instance Show1 NonNegative where
liftShowsPrec shw _ p (NonNegative a) = shw p a
-------------------------------------------------------------------------------
-- Huge
newtype Huge a = Huge { getHuge :: a }
deriving (Eq, Ord, Read, Show, Num, Enum, Bounded, Integral, Real, Functor, Foldable, Traversable)
instance (Num a, Arbitrary a) => Arbitrary (Huge a) where
arbitrary = do
Positive l <- arbitrary
ds <- vector l
return $ Huge $ foldl1 (\acc n -> acc * 2 ^ (63 :: Int) + n) ds
instance Eq1 Huge where
liftEq eq (Huge a) (Huge b) = a `eq` b
instance Ord1 Huge where
liftCompare cmp (Huge a) (Huge b) = a `cmp` b
instance Show1 Huge where
liftShowsPrec shw _ p (Huge a) = shw p a
-------------------------------------------------------------------------------
-- Power
newtype Power a = Power { getPower :: a }
deriving (Eq, Ord, Read, Show, Num, Enum, Bounded, Integral, Real, Functor, Foldable, Traversable)
instance (Monad m, Num a, Ord a, Serial m a) => Serial m (Power a) where
series = Power <$> series `suchThatSerial` (> 0)
instance (Num a, Ord a, Integral a, Arbitrary a) => Arbitrary (Power a) where
arbitrary = Power <$> arbitrarySizedNatural `suchThat` (> 0)
shrink (Power x) = Power <$> filter (> 0) (shrink x)
instance Eq1 Power where
liftEq eq (Power a) (Power b) = a `eq` b
instance Ord1 Power where
liftCompare cmp (Power a) (Power b) = a `cmp` b
instance Show1 Power where
liftShowsPrec shw _ p (Power a) = shw p a
-------------------------------------------------------------------------------
-- Odd
newtype Odd a = Odd { getOdd :: a }
deriving (Eq, Ord, Read, Show, Num, Enum, Bounded, Integral, Real, Functor, Foldable, Traversable)
instance (Monad m, Serial m a, Integral a) => Serial m (Odd a) where
series = Odd <$> series `suchThatSerial` odd
instance (Integral a, Arbitrary a) => Arbitrary (Odd a) where
arbitrary = Odd <$> (arbitrary `suchThat` odd)
shrink (Odd x) = Odd <$> filter odd (shrink x)
instance Eq1 Odd where
liftEq eq (Odd a) (Odd b) = a `eq` b
instance Ord1 Odd where
liftCompare cmp (Odd a) (Odd b) = a `cmp` b
instance Show1 Odd where
liftShowsPrec shw _ p (Odd a) = shw p a
-------------------------------------------------------------------------------
-- Utils
suchThatSerial :: Series m a -> (a -> Bool) -> Series m a
suchThatSerial s p = s >>= \x -> if p x then pure x else empty
|
