#if __GLASGOW_HASKELL__ < 710
#endif
module Generic.Random.Internal.Generic where
#if __GLASGOW_HASKELL__ < 710
import Control.Applicative (Applicative(..))
#endif
import Control.Applicative (Alternative(..), liftA2)
import Data.Coerce (coerce)
#if __GLASGOW_HASKELL__ >= 800
import Data.Kind (Type)
#endif
import Data.Proxy (Proxy(..))
#if __GLASGOW_HASKELL__ >= 800
import GHC.Generics hiding (S)
#else
import GHC.Generics hiding (S, Arity)
#endif
import GHC.TypeLits (KnownNat, Nat, Symbol, type (+), natVal)
import Test.QuickCheck (Arbitrary(..), Gen, choose, resize, sized)
#if __GLASGOW_HASKELL__ < 800
#define Type *
#endif
genericArbitrary
:: (GArbitrary UnsizedOpts a)
=> Weights a
-> Gen a
genericArbitrary = genericArbitraryWith unsizedOpts
genericArbitraryU
:: (GArbitrary UnsizedOpts a, GUniformWeight a)
=> Gen a
genericArbitraryU = genericArbitrary uniform
genericArbitrarySingle
:: (GArbitrary UnsizedOpts a, Weights_ (Rep a) ~ L c0)
=> Gen a
genericArbitrarySingle = genericArbitraryU
genericArbitraryRec
:: (GArbitrary SizedOpts a)
=> Weights a
-> Gen a
genericArbitraryRec = genericArbitraryWith sizedOpts
genericArbitraryG
:: (GArbitrary (SetGens g UnsizedOpts) a)
=> GenList g
-> Weights a
-> Gen a
genericArbitraryG gs = genericArbitraryWith opts
where
opts = setGenerators gs unsizedOpts
genericArbitraryUG
:: (GArbitrary (SetGens g UnsizedOpts) a, GUniformWeight a)
=> GenList g
-> Gen a
genericArbitraryUG gs = genericArbitraryG gs uniform
genericArbitrarySingleG
:: (GArbitrary (SetGens g UnsizedOpts) a, Weights_ (Rep a) ~ L c0)
=> GenList g
-> Gen a
genericArbitrarySingleG = genericArbitraryUG
genericArbitraryRecG
:: (GArbitrary (SetGens g SizedOpts) a)
=> GenList g
-> Weights a
-> Gen a
genericArbitraryRecG gs = genericArbitraryWith opts
where
opts = setGenerators gs sizedOpts
genericArbitraryWith
:: (GArbitrary opts a)
=> opts -> Weights a -> Gen a
genericArbitraryWith opts (Weights w n) =
fmap to (ga opts w n)
type family Weights_ (f :: * -> *) :: * where
Weights_ (f :+: g) = Weights_ f :| Weights_ g
Weights_ (M1 D _c f) = Weights_ f
#if __GLASGOW_HASKELL__ >= 800
Weights_ (M1 C ('MetaCons c _i _j) _f) = L c
#else
Weights_ (M1 C _c _f) = L ""
#endif
data a :| b = N a Int b
data L (c :: Symbol) = L
data Weights a = Weights (Weights_ (Rep a)) Int
newtype W (c :: Symbol) = W Int deriving Num
weights :: (Weights_ (Rep a), Int, ()) -> Weights a
weights (w, n, ()) = Weights w n
uniform :: UniformWeight_ (Rep a) => Weights a
uniform =
let (w, n) = uniformWeight
in Weights w n
type family First a :: Symbol where
First (a :| _b) = First a
First (L c) = c
type family First' w where
First' (Weights a) = First (Weights_ (Rep a))
First' (a, Int, r) = First a
type family Prec' w where
Prec' (Weights a) = Prec (Weights_ (Rep a)) ()
Prec' (a, Int, r) = Prec a r
class WeightBuilder' w where
(%) :: W (First' w) -> Prec' w -> w
instance WeightBuilder (Weights_ (Rep a)) => WeightBuilder' (Weights a) where
w % prec = weights (w %. prec)
instance WeightBuilder a => WeightBuilder' (a, Int, r) where
(%) = (%.)
class WeightBuilder a where
type Prec a r
(%.) :: W (First a) -> Prec a r -> (a, Int, r)
infixr 1 %
instance WeightBuilder a => WeightBuilder (a :| b) where
type Prec (a :| b) r = Prec a (b, Int, r)
m %. prec =
let (a, n, (b, p, r)) = m % prec
in (N a n b, n + p, r)
instance WeightBuilder (L c) where
type Prec (L c) r = r
W m %. prec = (L, m, prec)
instance WeightBuilder () where
type Prec () r = r
W m %. prec = ((), m, prec)
class UniformWeight a where
uniformWeight :: (a, Int)
instance (UniformWeight a, UniformWeight b) => UniformWeight (a :| b) where
uniformWeight =
let
(a, m) = uniformWeight
(b, n) = uniformWeight
in
(N a m b, m + n)
instance UniformWeight (L c) where
uniformWeight = (L, 1)
instance UniformWeight () where
uniformWeight = ((), 1)
class UniformWeight (Weights_ f) => UniformWeight_ f
instance UniformWeight (Weights_ f) => UniformWeight_ f
class UniformWeight_ (Rep a) => GUniformWeight a
instance UniformWeight_ (Rep a) => GUniformWeight a
newtype Options (s :: Sizing) (g :: [Type]) = Options
{ _generators :: GenList g
}
unsizedOpts :: UnsizedOpts
unsizedOpts = Options Nil
sizedOpts :: SizedOpts
sizedOpts = Options Nil
data Sizing = Sized | Unsized
type UnsizedOpts = (Options 'Unsized '[] :: Type)
type SizedOpts = (Options 'Sized '[] :: Type)
type family SizingOf opts :: Sizing
type instance SizingOf (Options s _g) = s
proxySizing :: opts -> Proxy (SizingOf opts)
proxySizing _ = Proxy
setSized :: Options s g -> Options 'Sized g
setSized = coerce
setUnsized :: Options s g -> Options 'Unsized g
setUnsized = coerce
data GenList (g :: [Type]) where
Nil :: GenList '[]
(:@) :: Gen a -> GenList g -> GenList (a ': g)
infixr 3 :@
type family GeneratorsOf opts :: [Type]
type instance GeneratorsOf (Options _s g) = g
class HasGenerators opts where
generators :: opts -> GenList (GeneratorsOf opts)
instance HasGenerators (Options s g) where
generators = _generators
setGenerators :: GenList g -> Options s g0 -> Options s g
setGenerators gens (Options _) = Options gens
type family SetGens (g :: [Type]) opts
type instance SetGens g (Options s _g) = Options s g
#if __GLASGOW_HASKELL__ >= 800
newtype Field (s :: Symbol) a = Field { unField :: a }
field :: proxy s -> a -> Field s a
field _ = Field
#endif
class GA opts f where
ga :: opts -> Weights_ f -> Int -> Gen (f p)
class (Generic a, GA opts (Rep a)) => GArbitrary opts a
instance (Generic a, GA opts (Rep a)) => GArbitrary opts a
instance GA opts f => GA opts (M1 D c f) where
ga z w n = fmap M1 (ga z w n)
instance (GASum opts f, GASum opts g) => GA opts (f :+: g) where
ga = gaSum'
instance GAProduct (SizingOf opts) opts f => GA opts (M1 C c f) where
ga z _ _ = fmap M1 (gaProduct (proxySizing z) z)
gaSum' :: GASum opts f => opts -> Weights_ f -> Int -> Gen (f p)
gaSum' z w n = do
i <- choose (0, n1)
gaSum z i w
class GASum opts f where
gaSum :: opts -> Int -> Weights_ f -> Gen (f p)
instance (GASum opts f, GASum opts g) => GASum opts (f :+: g) where
gaSum z i (N a n b)
| i < n = fmap L1 (gaSum z i a)
| otherwise = fmap R1 (gaSum z (i n) b)
instance GAProduct (SizingOf opts) opts f => GASum opts (M1 i c f) where
gaSum z _ _ = fmap M1 (gaProduct (proxySizing z) z)
class GAProduct (s :: Sizing) opts f where
gaProduct :: proxys s -> opts -> Gen (f p)
instance GAProduct' opts f => GAProduct 'Unsized opts f where
gaProduct _ = gaProduct'
instance (GAProduct' opts f, KnownNat (Arity f)) => GAProduct 'Sized opts f where
gaProduct _ opts = sized $ \n -> resize (n `div` arity) (gaProduct' opts)
where
arity = fromInteger (natVal (Proxy :: Proxy (Arity f)))
instance GAProduct 'Sized opts U1 where
gaProduct _ _ = pure U1
class GAProduct' opts f where
gaProduct' :: opts -> Gen (f p)
instance GAProduct' opts U1 where
gaProduct' _ = pure U1
instance (HasGenerators opts, ArbitraryOr (GeneratorsOf opts) (SelectorName d) c)
=> GAProduct' opts (S1 d (K1 i c)) where
gaProduct' opts = fmap (M1 . K1) (arbitraryOr sel (generators opts))
where sel = Proxy :: Proxy (SelectorName d)
instance (GAProduct' opts f, GAProduct' opts g) => GAProduct' opts (f :*: g) where
gaProduct' opts = (liftA2 . liftA2) (:*:) gaProduct' gaProduct' opts
type family Arity f :: Nat where
Arity (f :*: g) = Arity f + Arity g
Arity (M1 _i _c _f) = 1
class ArbitraryOr (g :: [Type]) (sel :: Maybe Symbol) a where
arbitraryOr :: proxy sel -> GenList g -> Gen a
instance ArbitraryOr (a ': g) sel a where
arbitraryOr _ (gen :@ _) = gen
instance ArbitraryOr g sel a => ArbitraryOr (b ': g) sel a where
arbitraryOr sel (_ :@ gens) = arbitraryOr sel gens
instance Arbitrary a => ArbitraryOr '[] sel a where
arbitraryOr _ _ = arbitrary
#if __GLASGOW_HASKELL__ >= 800
instance ArbitraryOr (Field n a ': g) ('Just n) a where
arbitraryOr _ (gen :@ _) = coerce gen
type family SelectorName (d :: Meta) :: Maybe Symbol
type instance SelectorName (MetaSel mn su ss ds) = mn
#else
type SelectorName d = (Nothing :: Maybe Symbol)
#endif
newtype Weighted a = Weighted (Maybe (Int -> Gen a, Int))
deriving Functor
instance Applicative Weighted where
pure a = Weighted (Just ((pure . pure) a, 1))
Weighted f <*> Weighted a = Weighted $ liftA2 g f a
where
g (f, m) (a, n) =
( \i ->
let (j, k) = i `divMod` m
in f j <*> a k
, m * n )
instance Alternative Weighted where
empty = Weighted Nothing
a <|> Weighted Nothing = a
Weighted Nothing <|> b = b
Weighted (Just (a, m)) <|> Weighted (Just (b, n)) = Weighted . Just $
( \i ->
if i < m then
a i
else
b (i m)
, m + n )
liftGen :: Gen a -> Weighted a
liftGen g = Weighted (Just (\_ -> g, 1))