{-|

    @GenValidity@ exists to make tests involving @Validity@ types easier and speed
    up the generation of data for them.

    Let's use the example from @Data.Validity@ again: A datatype that represents
    primes.
    To implement tests for this datatype, we would have to be able to generate
    both primes and non-primes. We could do this with
    @(Prime <$> arbitrary) `suchThat` isValid@
    but this is tedious and inefficient.

    The @GenValid@ type class allows you to specify how to (efficiently)
    generate valid data of the given type to allow for easier and quicker testing.
    Just instantiating @GenUnchecked@ already gives you access to a default instance
    of @GenValid@ and @GenInvalid@ but writing custom implementations of these functions
    may speed up the generation of data.

    For example, to generate primes, we don't have to consider even numbers other
    than 2. A more efficient implementation could then look as follows:

    > instance GenUnchecked Prime where
    >     genUnchecked = Prime <$> arbitrary

    > instance GenValid Prime where
    >     genValid = Prime <$>
    >        (oneof
    >          [ pure 2
    >          , ((\y -> 2 * abs y + 1) <$> arbitrary) `suchThat` isPrime)
    >          ])


    Typical examples of tests involving validity could look as follows:

    > it "succeeds when given valid input" $ do
    >     forAllValid $ \input ->
    >         myFunction input `shouldSatisfy` isRight

    > it "produces valid output when it succeeds" $ do
    >     forAllUnchecked $ \input ->
    >         case myFunction input of
    >             Nothing -> return () -- Can happen
    >             Just output -> output `shouldSatisfy` isValid
    -}
{-# LANGUAGE DefaultSignatures #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE TypeOperators #-}
{-# LANGUAGE CPP #-}
#if __GLASGOW_HASKELL__ >= 710
#define OVERLAPPING_ {-# OVERLAPPING #-}
#else
{-# LANGUAGE OverlappingInstances  #-}
#define OVERLAPPING_
#endif

module Data.GenValidity
    ( module Data.Validity
    , module Data.GenValidity
    ) where

import Data.Validity

import Data.Fixed (Fixed(..), HasResolution)
#if MIN_VERSION_base(4,9,0)
import Data.List.NonEmpty (NonEmpty((:|)))
#endif
import Data.Word (Word, Word8, Word16, Word32, Word64)
import GHC.Generics
import GHC.Real (Ratio(..))

import Test.QuickCheck hiding (Fixed)

import Control.Applicative ((<*>), (<$>), pure)
import Control.Monad (forM)

{-# ANN module "HLint: ignore Reduce duplication" #-}

-- | A class of types for which truly arbitrary values can be generated.
--
-- === Automatic instances with 'Generic'
-- An instance of this class can be made automatically if the type in question
-- has a 'Generic' instance. This instance will try to use 'genUnchecked' to
-- generate all structural sub-parts of the value that is being generated.
--
-- Example:
--
-- > {-# LANGUAGE DeriveGeneric #-}
-- >
-- > data MyType = MyType Double String
-- >     deriving (Show, Eq, Generic)
-- >
-- > instance GenUnchecked MyType
--
-- generates something like:
--
-- > instance GenUnchecked MyType where
-- >     genUnchecked = MyType <$> genUnchecked <*> genUnchecked
class GenUnchecked a where
    genUnchecked :: Gen a
    default genUnchecked :: (Generic a, GGenUnchecked (Rep a)) =>
        Gen a
    genUnchecked = to <$> gGenUnchecked

    shrinkUnchecked :: a -> [a]
    default shrinkUnchecked ::
        (Generic a, GUncheckedRecursivelyShrink (Rep a), GUncheckedSubterms (Rep a) a) =>
        a -> [a]
    shrinkUnchecked = gShrinkUnchecked

-- | A class of types for which valid values can be generated.
--
-- If you also write @Arbitrary@ instances for @GenValid@ types, it may be
-- best to simply write @arbitrary = genValid@.
class (Validity a, GenUnchecked a) =>
      GenValid a where
    genValid :: Gen a
    -- | Generate a valid datum, this should cover all possible valid values in
    -- the type
    --
    -- The default implementation is as follows:
    --
    -- >  genValid = genUnchecked `suchThat` isValid
    --
    -- To speed up testing, it may be a good idea to implement this yourself.
    -- If you do, make sure that it is possible to generate all possible valid
    -- data, otherwise your testing may not cover all cases.
    genValid = genUnchecked `suchThat` isValid

    shrinkValid :: a -> [a]
    shrinkValid = filter isValid . shrinkUnchecked

-- | A class of types for which invalid values can be generated.
class (Validity a, GenUnchecked a) =>
      GenInvalid a where
    genInvalid :: Gen a
    -- | Generate an invalid datum, this should cover all possible invalid
    -- values
    --
    -- > genInvalid = genUnchecked `suchThat` isInvalid
    --
    -- To speed up testing, it may be a good idea to implement this yourself.
    -- If you do, make sure that it is possible to generate all possible
    -- invalid data, otherwise your testing may not cover all cases.
    genInvalid = genUnchecked `suchThat` isInvalid

    shrinkInvalid :: a -> [a]
    shrinkInvalid = filter isInvalid . shrinkUnchecked

instance (GenUnchecked a, GenUnchecked b) => GenUnchecked (a, b) where
    genUnchecked =
        sized $ \n -> do
            (r, s) <- genSplit n
            a <- resize r genUnchecked
            b <- resize s genUnchecked
            return (a, b)

instance (GenValid a, GenValid b) => GenValid (a, b) where
    genValid =
        sized $ \n -> do
            (r, s) <- genSplit n
            a <- resize r genValid
            b <- resize s genValid
            return (a, b)

instance (GenInvalid a, GenInvalid b) => GenInvalid (a, b) where
    genInvalid =
        sized $ \n -> do
            (r, s) <- genSplit n
            oneof
                [ do a <- resize r genUnchecked
                     b <- resize s genInvalid
                     return (a, b)
                , do a <- resize r genInvalid
                     b <- resize s genUnchecked
                     return (a, b)
                ]

instance (GenUnchecked a, GenUnchecked b) => GenUnchecked (Either a b) where
    genUnchecked = oneof [Left <$> genUnchecked, Right <$> genUnchecked]

instance (GenValid a, GenValid b) => GenValid (Either a b) where
    genValid = oneof [Left <$> genValid, Right <$> genValid]

-- | This instance ensures that the generated tupse contains at least one invalid element. The other element is unchecked.
instance (GenInvalid a, GenInvalid b) => GenInvalid (Either a b) where
    genInvalid = oneof [Left <$> genInvalid, Right <$> genInvalid]

instance (GenUnchecked a, GenUnchecked b, GenUnchecked c) =>
         GenUnchecked (a, b, c) where
    genUnchecked =
        sized $ \n -> do
            (r, s, t) <- genSplit3 n
            a <- resize r genUnchecked
            b <- resize s genUnchecked
            c <- resize t genUnchecked
            return (a, b, c)

instance (GenValid a, GenValid b, GenValid c) => GenValid (a, b, c) where
    genValid =
        sized $ \n -> do
            (r, s, t) <- genSplit3 n
            a <- resize r genValid
            b <- resize s genValid
            c <- resize t genValid
            return (a, b, c)

-- | This instance ensures that the generated triple contains at least one invalid element. The other two are unchecked.
instance (GenInvalid a, GenInvalid b, GenInvalid c) =>
         GenInvalid (a, b, c) where
    genInvalid =
        sized $ \n -> do
            (r, s, t) <- genSplit3 n
            oneof
                [ do a <- resize r genInvalid
                     b <- resize s genUnchecked
                     c <- resize t genUnchecked
                     return (a, b, c)
                , do a <- resize r genUnchecked
                     b <- resize s genInvalid
                     c <- resize t genUnchecked
                     return (a, b, c)
                , do a <- resize r genUnchecked
                     b <- resize s genUnchecked
                     c <- resize t genInvalid
                     return (a, b, c)
                ]

instance (GenUnchecked a, GenUnchecked b, GenUnchecked c, GenUnchecked d) =>
         GenUnchecked (a, b, c, d) where
    genUnchecked =
        sized $ \n -> do
            (r, s, t, u) <- genSplit4 n
            a <- resize r genUnchecked
            b <- resize s genUnchecked
            c <- resize t genUnchecked
            d <- resize u genUnchecked
            return (a, b, c, d)

instance (GenValid a, GenValid b, GenValid c, GenValid d) =>
         GenValid (a, b, c, d) where
    genValid =
        sized $ \n -> do
            (r, s, t, u) <- genSplit4 n
            a <- resize r genValid
            b <- resize s genValid
            c <- resize t genValid
            d <- resize u genValid
            return (a, b, c, d)

-- | This instance ensures that the generated triple contains at least one invalid element. The other two are unchecked.
instance (GenInvalid a, GenInvalid b, GenInvalid c, GenInvalid d) =>
         GenInvalid (a, b, c, d) where
    genInvalid =
        sized $ \n -> do
            (r, s, t, u) <- genSplit4 n
            oneof
                [ do a <- resize r genInvalid
                     b <- resize s genUnchecked
                     c <- resize t genUnchecked
                     d <- resize u genUnchecked
                     return (a, b, c, d)
                , do a <- resize r genUnchecked
                     b <- resize s genInvalid
                     c <- resize t genUnchecked
                     d <- resize u genUnchecked
                     return (a, b, c, d)
                , do a <- resize r genUnchecked
                     b <- resize s genUnchecked
                     c <- resize t genInvalid
                     d <- resize u genUnchecked
                     return (a, b, c, d)
                , do a <- resize r genUnchecked
                     b <- resize s genUnchecked
                     c <- resize t genUnchecked
                     d <- resize u genInvalid
                     return (a, b, c, d)
                ]

instance GenUnchecked a => GenUnchecked (Maybe a) where
    genUnchecked = oneof [pure Nothing, Just <$> genUnchecked]

instance GenValid a => GenValid (Maybe a) where
    genValid = oneof [pure Nothing, Just <$> genValid]

instance GenInvalid a => GenInvalid (Maybe a) where
    genInvalid = Just <$> genInvalid

instance GenUnchecked a => GenUnchecked [a] where
    genUnchecked = genListOf genUnchecked
    shrinkUnchecked = shrinkList shrinkUnchecked

#if MIN_VERSION_base(4,9,0)
instance GenUnchecked a => GenUnchecked (NonEmpty a) where
    genUnchecked = (:|) <$> genUnchecked <*> genUnchecked
    shrinkUnchecked (v :| vs) = [ e :| es | (e, es) <- shrinkUnchecked (v, vs)]

instance GenValid a => GenValid (NonEmpty a) where
    genValid = (:|) <$> genValid <*> genValid

instance GenInvalid a => GenInvalid (NonEmpty a) where
    genInvalid = sized $ \n -> do
      (a, b) <- genSplit n
      oneof
        [ (:|) <$> resize a genUnchecked <*> resize b genInvalid
        , (:|) <$> resize a genInvalid <*> resize b genUnchecked
        ]
#endif

-- | If we can generate values of a certain type, we can also generate lists of
-- them.
instance GenValid a => GenValid [a] where
    genValid = genListOf genValid

-- | This instance ensures that the generated list contains at least one element
-- that satisfies 'isInvalid'. The rest is unchecked.
instance GenInvalid a => GenInvalid [a] where
    genInvalid =
        sized $ \n -> do
            (x, y, z) <- genSplit3 n
            before <- resize x $ genListOf genUnchecked
            middle <- resize y genInvalid
            after <- resize z $ genListOf genUnchecked
            return $ before ++ [middle] ++ after

instance GenUnchecked () where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid ()

instance GenUnchecked Bool where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Bool

instance GenUnchecked Ordering where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Ordering

instance GenUnchecked Char where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Char

instance GenUnchecked Int where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Int

instance GenUnchecked Word where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Word

instance GenUnchecked Word8 where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Word8

instance GenUnchecked Word16 where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Word16

instance GenUnchecked Word32 where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Word32

instance GenUnchecked Word64 where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Word64

instance GenUnchecked Float where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Float where
    genValid = arbitrary

-- | Either 'NaN' or 'Infinity'.
instance GenInvalid Float where
    genInvalid = elements [read "NaN", read "Infinity"]

instance GenUnchecked Double where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Double

-- | Either 'NaN' or 'Infinity'.
instance GenInvalid Double where
    genInvalid = elements [read "NaN", read "Infinity"]

instance GenUnchecked Integer where
    genUnchecked = arbitrary
    shrinkUnchecked = shrink

instance GenValid Integer

instance (Integral a, GenUnchecked a) => GenUnchecked (Ratio a) where
    genUnchecked = do
        n <- genUnchecked
        d <- genUnchecked
        pure $ n :% d
    shrinkUnchecked (n :% d) = [n' :% d' | (n', d') <- shrinkUnchecked (n, d)]

instance (Integral a, Num a, Ord a, GenValid a) => GenValid (Ratio a)

instance HasResolution a => GenUnchecked (Fixed a) where
    genUnchecked = MkFixed <$> genUnchecked
    shrinkUnchecked = shrink

instance HasResolution a => GenValid (Fixed a)

shrinkT2
  :: (a -> [a])
  -> (a, a) -> [(a, a)]
shrinkT2 s (a, b) = (,) <$> s a <*> s b

shrinkT3
  :: (a -> [a])
  -> (a, a, a) -> [(a, a, a)]
shrinkT3 s (a, b, c) = (,,) <$> s a <*> s b <*> s c


-- | 'upTo' generates an integer between 0 (inclusive) and 'n'.
upTo :: Int -> Gen Int
upTo n
    | n <= 0 = pure 0
    | otherwise = elements [0 .. n]

-- | 'genSplit a' generates a tuple '(b, c)' such that 'b + c' equals 'a'.
genSplit :: Int -> Gen (Int, Int)
genSplit n
    | n < 0 = pure (0, 0)
    | otherwise = do
        i <- choose (0, n)
        let j = n - i
        pure (i, j)

-- | 'genSplit3 a' generates a triple '(b, c, d)' such that 'b + c + d' equals 'a'.
genSplit3 :: Int -> Gen (Int, Int, Int)
genSplit3 n
    | n < 0 = pure (0, 0, 0)
    | otherwise = do
        (a, z) <- genSplit n
        (b, c) <- genSplit z
        return (a, b, c)

-- | 'genSplit4 a' generates a quadruple '(b, c, d, e)' such that 'b + c + d + e' equals 'a'.
genSplit4 :: Int -> Gen (Int, Int, Int, Int)
genSplit4 n
    | n < 0 = pure (0, 0, 0, 0)
    | otherwise = do
        (y, z) <- genSplit n
        (a, b) <- genSplit y
        (c, d) <- genSplit z
        return (a, b, c, d)

-- | 'arbPartition n' generates a list 'ls' such that 'sum ls' equals 'n'.
arbPartition :: Int -> Gen [Int]
arbPartition k
    | k <= 0 = pure []
    | otherwise = do
        first <- elements [1 .. k]
        rest <- arbPartition $ k - first
        return $ first : rest

-- | A version of @listOf@ that takes size into account more accurately.
genListOf :: Gen a -> Gen [a]
genListOf func =
    sized $ \n -> do
        size <- upTo n
        pars <- arbPartition size
        forM pars $ \i -> resize i func

class GGenUnchecked f where
    gGenUnchecked :: Gen (f a)

instance GGenUnchecked U1 where
    gGenUnchecked = pure U1

instance (GGenUnchecked a, GGenUnchecked b) => GGenUnchecked (a :*: b) where
    gGenUnchecked = do
        g1 <- gGenUnchecked
        g2 <- gGenUnchecked
        pure $ g1 :*: g2

instance (GGenUnchecked a, GGenUnchecked b) => GGenUnchecked (a :+: b) where
    gGenUnchecked = oneof [L1 <$> gGenUnchecked, R1 <$> gGenUnchecked]

instance (GGenUnchecked a) => GGenUnchecked (M1 i c a) where
    gGenUnchecked = M1 <$> gGenUnchecked

instance (GenUnchecked a) => GGenUnchecked (K1 i a) where
    gGenUnchecked = K1 <$> genUnchecked


-- | Shrink a term to any of its immediate subterms,
-- and also recursively shrink all subterms.
gShrinkUnchecked :: (Generic a, GUncheckedRecursivelyShrink (Rep a), GUncheckedSubterms (Rep a) a) => a -> [a]
gShrinkUnchecked x = uncheckedSubterms x ++ uncheckedRecursivelyShrink x

-- | Recursively shrink all immediate uncheckedSubterms.
uncheckedRecursivelyShrink :: (Generic a, GUncheckedRecursivelyShrink (Rep a)) => a -> [a]
uncheckedRecursivelyShrink = map to . gUncheckedRecursivelyShrink . from

class GUncheckedRecursivelyShrink f where
  gUncheckedRecursivelyShrink :: f a -> [f a]

instance (GUncheckedRecursivelyShrink f, GUncheckedRecursivelyShrink g) => GUncheckedRecursivelyShrink (f :*: g) where
  gUncheckedRecursivelyShrink (x :*: y) =
      [x' :*: y | x' <- gUncheckedRecursivelyShrink x] ++
      [x :*: y' | y' <- gUncheckedRecursivelyShrink y]

instance (GUncheckedRecursivelyShrink f, GUncheckedRecursivelyShrink g) => GUncheckedRecursivelyShrink (f :+: g) where
  gUncheckedRecursivelyShrink (L1 x) = map L1 (gUncheckedRecursivelyShrink x)
  gUncheckedRecursivelyShrink (R1 x) = map R1 (gUncheckedRecursivelyShrink x)

instance GUncheckedRecursivelyShrink f => GUncheckedRecursivelyShrink (M1 i c f) where
  gUncheckedRecursivelyShrink (M1 x) = map M1 (gUncheckedRecursivelyShrink x)

instance GenUnchecked a => GUncheckedRecursivelyShrink (K1 i a) where
  gUncheckedRecursivelyShrink (K1 x) = map K1 (shrinkUnchecked x)

instance GUncheckedRecursivelyShrink U1 where
  gUncheckedRecursivelyShrink U1 = []

instance GUncheckedRecursivelyShrink V1 where
  -- The empty type can't be shrunk to anything.
  gUncheckedRecursivelyShrink _ = []


-- | All immediate uncheckedSubterms of a term.
uncheckedSubterms :: (Generic a, GUncheckedSubterms (Rep a) a) => a -> [a]
uncheckedSubterms = gUncheckedSubterms . from


class GUncheckedSubterms f a where
  gUncheckedSubterms :: f a -> [a]

instance GUncheckedSubterms V1 a where
  gUncheckedSubterms _ = []

instance GUncheckedSubterms U1 a where
  gUncheckedSubterms U1 = []

instance (GUncheckedSubtermsIncl f a, GUncheckedSubtermsIncl g a) => GUncheckedSubterms (f :*: g) a where
  gUncheckedSubterms (l :*: r) = gUncheckedSubtermsIncl l ++ gUncheckedSubtermsIncl r

instance (GUncheckedSubtermsIncl f a, GUncheckedSubtermsIncl g a) => GUncheckedSubterms (f :+: g) a where
  gUncheckedSubterms (L1 x) = gUncheckedSubtermsIncl x
  gUncheckedSubterms (R1 x) = gUncheckedSubtermsIncl x

instance GUncheckedSubterms f a => GUncheckedSubterms (M1 i c f) a where
  gUncheckedSubterms (M1 x) = gUncheckedSubterms x

instance GUncheckedSubterms (K1 i a) b where
  gUncheckedSubterms (K1 _) = []


class GUncheckedSubtermsIncl f a where
  gUncheckedSubtermsIncl :: f a -> [a]

instance GUncheckedSubtermsIncl V1 a where
  gUncheckedSubtermsIncl _ = []

instance GUncheckedSubtermsIncl U1 a where
  gUncheckedSubtermsIncl U1 = []

instance (GUncheckedSubtermsIncl f a, GUncheckedSubtermsIncl g a) => GUncheckedSubtermsIncl (f :*: g) a where
  gUncheckedSubtermsIncl (l :*: r) = gUncheckedSubtermsIncl l ++ gUncheckedSubtermsIncl r

instance (GUncheckedSubtermsIncl f a, GUncheckedSubtermsIncl g a) => GUncheckedSubtermsIncl (f :+: g) a where
  gUncheckedSubtermsIncl (L1 x) = gUncheckedSubtermsIncl x
  gUncheckedSubtermsIncl (R1 x) = gUncheckedSubtermsIncl x

instance GUncheckedSubtermsIncl f a => GUncheckedSubtermsIncl (M1 i c f) a where
  gUncheckedSubtermsIncl (M1 x) = gUncheckedSubtermsIncl x

-- This is the important case: We've found a term of the same type.
instance OVERLAPPING_ GUncheckedSubtermsIncl (K1 i a) a where
  gUncheckedSubtermsIncl (K1 x) = [x]

instance OVERLAPPING_ GUncheckedSubtermsIncl (K1 i a) b where
  gUncheckedSubtermsIncl (K1 _) = []