{-# OPTIONS_HADDOCK not-home #-} {-# LANGUAGE ApplicativeDo #-} {-# LANGUAGE CPP #-} {-# LANGUAGE DataKinds #-} {-# LANGUAGE DeriveFoldable #-} {-# LANGUAGE DeriveFunctor #-} {-# LANGUAGE DeriveTraversable #-} {-# LANGUAGE DoAndIfThenElse #-} {-# LANGUAGE FlexibleContexts #-} {-# LANGUAGE FlexibleInstances #-} {-# LANGUAGE GADTs #-} {-# LANGUAGE GeneralizedNewtypeDeriving #-} {-# LANGUAGE LambdaCase #-} {-# LANGUAGE MultiParamTypeClasses #-} {-# LANGUAGE NoImplicitPrelude #-} {-# LANGUAGE RankNTypes #-} {-# LANGUAGE ScopedTypeVariables #-} {-# LANGUAGE StandaloneDeriving #-} {-# LANGUAGE TupleSections #-} {-# LANGUAGE TypeFamilies #-} {-# LANGUAGE UndecidableInstances #-} -- MonadBase #if __GLASGOW_HASKELL__ >= 806 {-# LANGUAGE DerivingVia #-} #endif module Hedgehog.Internal.Gen ( -- * Transformer Gen , GenT(..) , MonadGen(..) -- * Combinators , generalize -- ** Shrinking , shrink , prune -- ** Size , small , scale , resize , sized -- ** Integral , integral , integral_ , int , int8 , int16 , int32 , int64 , word , word8 , word16 , word32 , word64 -- ** Floating-point , realFloat , realFrac_ , float , double -- ** Enumeration , enum , enumBounded , bool , bool_ -- ** Characters , binit , octit , digit , hexit , lower , upper , alpha , alphaNum , ascii , latin1 , unicode , unicodeAll -- ** Strings , string , text , utf8 , bytes -- ** Choice , constant , element , choice , frequency , recursive -- ** Conditional , discard , ensure , filter , mapMaybe , filterT , mapMaybeT , just , justT -- ** Collections , maybe , either , either_ , list , seq , nonEmpty , set , map -- ** Subterms , freeze , subterm , subtermM , subterm2 , subtermM2 , subterm3 , subtermM3 -- ** Combinations & Permutations , subsequence , shuffle , shuffleSeq -- * Sampling Generators , sample , print , printTree , printWith , printTreeWith , renderTree -- * Internal -- $internal -- ** Transfomer , runGenT , evalGen , evalGenT , mapGenT , generate , toTree , toTreeMaybeT , fromTree , fromTreeT , fromTreeMaybeT , runDiscardEffect , runDiscardEffectT -- ** Size , golden -- ** Shrinking , atLeast -- ** Characters , isSurrogate , isNoncharacter -- ** Subterms , Vec(..) , Nat(..) , subtermMVec ) where import Control.Applicative (Alternative(..),liftA2) import Control.Monad (MonadPlus(..), filterM, guard, replicateM, join) import Control.Monad.Base (MonadBase(..)) import Control.Monad.Trans.Control (MonadBaseControl(..)) import Control.Monad.Catch (MonadThrow(..), MonadCatch(..)) import Control.Monad.Error.Class (MonadError(..)) import Control.Monad.IO.Class (MonadIO(..)) import Control.Monad.Morph (MFunctor(..), MMonad(..)) import qualified Control.Monad.Morph as Morph import Control.Monad.Primitive (PrimMonad(..)) import Control.Monad.Reader.Class (MonadReader(..)) import Control.Monad.State.Class (MonadState(..)) import Control.Monad.Trans.Class (MonadTrans(..)) import Control.Monad.Trans.Except (ExceptT(..)) import Control.Monad.Trans.Identity (IdentityT(..)) import Control.Monad.Trans.Maybe (MaybeT(..)) import Control.Monad.Trans.Reader (ReaderT(..)) import Control.Monad.Trans.Resource (MonadResource(..)) import qualified Control.Monad.Trans.State.Lazy as Lazy import qualified Control.Monad.Trans.State.Strict as Strict import qualified Control.Monad.Trans.Writer.Lazy as Lazy import qualified Control.Monad.Trans.Writer.Strict as Strict import Control.Monad.Writer.Class (MonadWriter(..)) import Control.Monad.Zip (MonadZip(..)) import Data.Bifunctor (first) import Data.ByteString (ByteString) import qualified Data.ByteString as ByteString import qualified Data.Char as Char import Data.Foldable (for_, toList) import Data.Functor.Identity (Identity(..)) import Data.Int (Int8, Int16, Int32, Int64) import Data.List.NonEmpty (NonEmpty) import qualified Data.List.NonEmpty as NonEmpty import Data.Map (Map) import qualified Data.Map as Map import qualified Data.Maybe as Maybe import qualified Data.Semigroup as Semigroup import Data.Sequence (Seq) import qualified Data.Sequence as Seq import Data.Set (Set) import Data.Text (Text) import qualified Data.Text as Text import qualified Data.Text.Encoding as Text import Data.Word (Word8, Word16, Word32, Word64) import Hedgehog.Internal.Distributive (MonadTransDistributive(..)) import Hedgehog.Internal.Prelude hiding (either, maybe, seq) import Hedgehog.Internal.Seed (Seed) import qualified Hedgehog.Internal.Seed as Seed import qualified Hedgehog.Internal.Shrink as Shrink import Hedgehog.Internal.Tree (Tree, TreeT(..), NodeT(..)) import qualified Hedgehog.Internal.Tree as Tree import Hedgehog.Range (Size, Range) import qualified Hedgehog.Range as Range #if __GLASGOW_HASKELL__ < 808 import qualified Control.Monad.Fail as Fail #endif #if __GLASGOW_HASKELL__ < 806 import Data.Coerce (coerce) #endif ------------------------------------------------------------------------ -- Generator transformer -- | Generator for random values of @a@. -- type Gen = GenT Identity -- | Monad transformer which can generate random values of @a@. -- newtype GenT m a = GenT { unGenT :: Size -> Seed -> TreeT (MaybeT m) a } -- | Runs a generator, producing its shrink tree. -- runGenT :: Size -> Seed -> GenT m a -> TreeT (MaybeT m) a runGenT size seed (GenT m) = m size seed -- | Run a generator, producing its shrink tree. -- -- 'Nothing' means discarded, 'Just' means we have a value. -- evalGen :: Size -> Seed -> Gen a -> Maybe (Tree a) evalGen size seed = Tree.mapMaybe id . evalGenT size seed -- | Runs a generator, producing its shrink tree. -- evalGenT :: Monad m => Size -> Seed -> GenT m a -> TreeT m (Maybe a) evalGenT size seed = runDiscardEffectT . runGenT size seed -- | Map over a generator's shrink tree. -- mapGenT :: (TreeT (MaybeT m) a -> TreeT (MaybeT n) b) -> GenT m a -> GenT n b mapGenT f gen = GenT $ \size seed -> f (runGenT size seed gen) -- | Lift a predefined shrink tree in to a generator, ignoring the seed and the -- size. -- fromTree :: MonadGen m => Tree a -> m a fromTree = fromTreeT . hoist (Morph.generalize) -- | Lift a predefined shrink tree in to a generator, ignoring the seed and the -- size. -- fromTreeT :: MonadGen m => TreeT (GenBase m) a -> m a fromTreeT x = fromTreeMaybeT $ hoist (MaybeT . fmap Just) x -- | Lift a predefined shrink tree in to a generator, ignoring the seed and the -- size. -- fromTreeMaybeT :: MonadGen m => TreeT (MaybeT (GenBase m)) a -> m a fromTreeMaybeT x = fromGenT . GenT $ \_ _ -> x -- | Observe a generator's shrink tree. -- toTree :: forall m a. (MonadGen m, GenBase m ~ Identity) => m a -> m (Tree a) toTree = withGenT $ mapGenT (Maybe.maybe empty pure . runDiscardEffect) -- | Lift a predefined shrink tree in to a generator, ignoring the seed and the -- size. -- toTreeMaybeT :: MonadGen m => m a -> m (TreeT (MaybeT (GenBase m)) a) toTreeMaybeT = withGenT $ mapGenT pure -- | Lazily run the discard effects through the tree and reify it a -- @Maybe (Tree a)@. -- -- 'Nothing' means discarded, 'Just' means we have a value. -- -- Discards in the child nodes of the tree are simply removed. -- runDiscardEffect :: TreeT (MaybeT Identity) a -> Maybe (Tree a) runDiscardEffect = Tree.mapMaybe id . runDiscardEffectT -- | Run the discard effects through the tree and reify them as 'Maybe' values -- at the nodes. -- -- 'Nothing' means discarded, 'Just' means we have a value. -- runDiscardEffectT :: Monad m => TreeT (MaybeT m) a -> TreeT m (Maybe a) runDiscardEffectT = runMaybeT . distributeT -- | Lift a @Gen / GenT Identity@ in to a @Monad m => GenT m@ -- generalize :: Monad m => Gen a -> GenT m a generalize = hoist Morph.generalize ------------------------------------------------------------------------ -- MonadGen -- | Class of monads which can generate input data for tests. -- class (Monad m, Monad (GenBase m)) => MonadGen m where type GenBase m :: (* -> *) -- | Extract a 'GenT' from a 'MonadGen'. -- toGenT :: m a -> GenT (GenBase m) a -- | Lift a 'GenT' in to a 'MonadGen'. -- fromGenT :: GenT (GenBase m) a -> m a -- | Transform a 'MonadGen' as a 'GenT'. -- withGenT :: (MonadGen m, MonadGen n) => (GenT (GenBase m) a -> GenT (GenBase n) b) -> m a -> n b withGenT f = fromGenT . f . toGenT instance Monad m => MonadGen (GenT m) where -- | The type of the transformer stack's base 'Monad'. -- type GenBase (GenT m) = m -- | Convert a 'MonadGen' to a 'GenT'. -- toGenT = id -- | Convert a 'GenT' to a 'MonadGen'. -- fromGenT = id instance MonadGen m => MonadGen (IdentityT m) where type GenBase (IdentityT m) = IdentityT (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance MonadGen m => MonadGen (MaybeT m) where type GenBase (MaybeT m) = MaybeT (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance MonadGen m => MonadGen (ExceptT x m) where type GenBase (ExceptT x m) = ExceptT x (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance MonadGen m => MonadGen (ReaderT r m) where type GenBase (ReaderT r m) = ReaderT r (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance MonadGen m => MonadGen (Lazy.StateT r m) where type GenBase (Lazy.StateT r m) = Lazy.StateT r (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance MonadGen m => MonadGen (Strict.StateT r m) where type GenBase (Strict.StateT r m) = Strict.StateT r (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance (MonadGen m, Monoid w) => MonadGen (Lazy.WriterT w m) where type GenBase (Lazy.WriterT w m) = Lazy.WriterT w (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT instance (MonadGen m, Monoid w) => MonadGen (Strict.WriterT w m) where type GenBase (Strict.WriterT w m) = Strict.WriterT w (GenBase m) toGenT = distributeT . hoist toGenT fromGenT = hoist fromGenT . distributeT ------------------------------------------------------------------------ -- GenT instances instance (Monad m, Semigroup a) => Semigroup (GenT m a) where (<>) = liftA2 (Semigroup.<>) instance (Monad m, Monoid a) => Monoid (GenT m a) where mappend = liftA2 mappend mempty = return mempty instance Functor m => Functor (GenT m) where fmap f gen = GenT $ \seed size -> fmap f (runGenT seed size gen) -- -- implementation: parallel shrinking -- instance Monad m => Applicative (GenT m) where pure = fromTreeMaybeT . pure (<*>) f m = GenT $ \ size seed -> case Seed.split seed of (sf, sm) -> uncurry ($) <$> runGenT size sf f `mzip` runGenT size sm m -- -- implementation: satisfies law (ap = <*>) -- --instance Monad m => Applicative (GenT m) where -- pure = -- fromTreeMaybeT . pure -- (<*>) f m = -- GenT $ \ size seed -> -- case Seed.split seed of -- (sf, sm) -> -- runGenT size sf f <*> -- runGenT size sm m instance Monad m => Monad (GenT m) where return = pure (>>=) m k = GenT $ \size seed -> case Seed.split seed of (sk, sm) -> runGenT size sk . k =<< runGenT size sm m #if __GLASGOW_HASKELL__ < 808 fail = Fail.fail #endif instance Monad m => MonadFail (GenT m) where fail = error instance Monad m => Alternative (GenT m) where empty = mzero (<|>) = mplus instance Monad m => MonadPlus (GenT m) where mzero = fromTreeMaybeT mzero mplus x y = GenT $ \size seed -> case Seed.split seed of (sx, sy) -> runGenT size sx x `mplus` runGenT size sy y instance MonadTrans GenT where lift = fromTreeMaybeT . lift . lift instance MFunctor GenT where hoist f = mapGenT (hoist (hoist f)) embedMaybeT :: MonadTrans t => Monad n => Monad (t (MaybeT n)) => (forall a. m a -> t (MaybeT n) a) -> MaybeT m b -> t (MaybeT n) b embedMaybeT f m = lift . MaybeT . pure =<< f (runMaybeT m) embedTreeMaybeT :: Monad n => (forall a. m a -> TreeT (MaybeT n) a) -> TreeT (MaybeT m) b -> TreeT (MaybeT n) b embedTreeMaybeT f tree_ = embed (embedMaybeT f) tree_ embedGenT :: Monad n => (forall a. m a -> GenT n a) -> GenT m b -> GenT n b embedGenT f gen = GenT $ \size seed -> case Seed.split seed of (sf, sg) -> (runGenT size sf . f) `embedTreeMaybeT` (runGenT size sg gen) instance MMonad GenT where embed = embedGenT distributeGenT :: Transformer t GenT m => GenT (t m) a -> t (GenT m) a distributeGenT x = join . lift . GenT $ \size seed -> pure . hoist fromTreeMaybeT . distributeT . hoist distributeT $ runGenT size seed x instance MonadTransDistributive GenT where type Transformer t GenT m = ( Monad (t (GenT m)) , Transformer t MaybeT m , Transformer t TreeT (MaybeT m) ) distributeT = distributeGenT instance PrimMonad m => PrimMonad (GenT m) where type PrimState (GenT m) = PrimState m primitive = lift . primitive instance MonadIO m => MonadIO (GenT m) where liftIO = lift . liftIO instance MonadBase b m => MonadBase b (GenT m) where liftBase = lift . liftBase #if __GLASGOW_HASKELL__ >= 806 deriving via (ReaderT Size (ReaderT Seed (TreeT (MaybeT m)))) instance MonadBaseControl b m => MonadBaseControl b (GenT m) #else instance MonadBaseControl b m => MonadBaseControl b (GenT m) where type StM (GenT m) a = StM (GloopT m) a liftBaseWith g = gloopToGen $ liftBaseWith $ \q -> g (\gen -> q (genToGloop gen)) restoreM = gloopToGen . restoreM type GloopT m = ReaderT Size (ReaderT Seed (TreeT (MaybeT m))) gloopToGen :: GloopT m a -> GenT m a gloopToGen = coerce genToGloop :: GenT m a -> GloopT m a genToGloop = coerce #endif instance MonadThrow m => MonadThrow (GenT m) where throwM = lift . throwM instance MonadCatch m => MonadCatch (GenT m) where catch m onErr = GenT $ \size seed -> case Seed.split seed of (sm, se) -> (runGenT size sm m) `catch` (runGenT size se . onErr) instance MonadReader r m => MonadReader r (GenT m) where ask = lift ask local f m = mapGenT (local f) m instance MonadState s m => MonadState s (GenT m) where get = lift get put = lift . put state = lift . state instance MonadWriter w m => MonadWriter w (GenT m) where writer = lift . writer tell = lift . tell listen m = GenT $ \size seed -> listen $ runGenT size seed m pass m = GenT $ \size seed -> pass $ runGenT size seed m instance MonadError e m => MonadError e (GenT m) where throwError = lift . throwError catchError m onErr = GenT $ \size seed -> case Seed.split seed of (sm, se) -> (runGenT size sm m) `catchError` (runGenT size se . onErr) instance MonadResource m => MonadResource (GenT m) where liftResourceT = lift . liftResourceT ------------------------------------------------------------------------ -- Combinators -- | Generate a value with no shrinks from a 'Size' and a 'Seed'. -- generate :: MonadGen m => (Size -> Seed -> a) -> m a generate f = fromGenT . GenT $ \size seed -> pure (f size seed) ------------------------------------------------------------------------ -- Combinators - Shrinking -- | Apply a shrinking function to a generator. -- -- This will give the generator additional shrinking options, while keeping -- the existing shrinks intact. -- shrink :: MonadGen m => (a -> [a]) -> m a -> m a shrink f = withGenT $ mapGenT (Tree.expand f) -- | Throw away a generator's shrink tree. -- prune :: MonadGen m => m a -> m a prune = withGenT $ mapGenT (Tree.prune 0) ------------------------------------------------------------------------ -- Combinators - Size -- | Construct a generator that depends on the size parameter. -- sized :: MonadGen m => (Size -> m a) -> m a sized f = do f =<< generate (\size _ -> size) -- | Override the size parameter. Returns a generator which uses the given size -- instead of the runtime-size parameter. -- resize :: MonadGen m => Size -> m a -> m a resize size gen = scale (const size) gen -- | Adjust the size parameter by transforming it with the given function. -- scale :: MonadGen m => (Size -> Size) -> m a -> m a scale f = withGenT $ \gen -> GenT $ \size0 seed -> let size = f size0 in if size < 0 then error "Hedgehog.Gen.scale: negative size" else runGenT size seed gen -- | Make a generator smaller by scaling its size parameter. -- small :: MonadGen m => m a -> m a small = scale golden -- | Scale a size using the golden ratio. -- -- > golden x = x / φ -- > golden x = x / 1.61803.. -- golden :: Size -> Size golden x = round (fromIntegral x * 0.61803398875 :: Double) ------------------------------------------------------------------------ -- Combinators - Integral -- | Generates a random integral number in the given @[inclusive,inclusive]@ range. -- -- When the generator tries to shrink, it will shrink towards the -- 'Range.origin' of the specified 'Range'. -- -- For example, the following generator will produce a number between @1970@ -- and @2100@, but will shrink towards @2000@: -- -- @ -- integral (Range.'Range.constantFrom' 2000 1970 2100) :: 'Gen' 'Int' -- @ -- -- Some sample outputs from this generator might look like: -- -- > === Outcome === -- > 1973 -- > === Shrinks === -- > 2000 -- > 1987 -- > 1980 -- > 1976 -- > 1974 -- -- > === Outcome === -- > 2061 -- > === Shrinks === -- > 2000 -- > 2031 -- > 2046 -- > 2054 -- > 2058 -- > 2060 -- integral :: (MonadGen m, Integral a) => Range a -> m a integral range = shrink (Shrink.towards $ Range.origin range) (integral_ range) -- | Generates a random integral number in the [inclusive,inclusive] range. -- -- /This generator does not shrink./ -- integral_ :: (MonadGen m, Integral a) => Range a -> m a integral_ range = generate $ \size seed -> let (x, y) = Range.bounds size range in fromInteger . fst $ Seed.nextInteger (toInteger x) (toInteger y) seed -- | Generates a random machine integer in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- int :: MonadGen m => Range Int -> m Int int = integral -- | Generates a random 8-bit integer in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- int8 :: MonadGen m => Range Int8 -> m Int8 int8 = integral -- | Generates a random 16-bit integer in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- int16 :: MonadGen m => Range Int16 -> m Int16 int16 = integral -- | Generates a random 32-bit integer in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- int32 :: MonadGen m => Range Int32 -> m Int32 int32 = integral -- | Generates a random 64-bit integer in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- int64 :: MonadGen m => Range Int64 -> m Int64 int64 = integral -- | Generates a random machine word in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- word :: MonadGen m => Range Word -> m Word word = integral -- | Generates a random byte in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- word8 :: MonadGen m => Range Word8 -> m Word8 word8 = integral -- | Generates a random 16-bit word in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- word16 :: MonadGen m => Range Word16 -> m Word16 word16 = integral -- | Generates a random 32-bit word in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- word32 :: MonadGen m => Range Word32 -> m Word32 word32 = integral -- | Generates a random 64-bit word in the given @[inclusive,inclusive]@ range. -- -- /This is a specialization of 'integral', offered for convenience./ -- word64 :: MonadGen m => Range Word64 -> m Word64 word64 = integral ------------------------------------------------------------------------ -- Combinators - Fractional / Floating-Point -- | Generates a random floating-point number in the @[inclusive,exclusive)@ range. -- -- /This generator works the same as 'integral', but for floating point numbers./ -- realFloat :: (MonadGen m, RealFloat a) => Range a -> m a realFloat range = shrink (Shrink.towardsFloat $ Range.origin range) (realFrac_ range) -- | Generates a random fractional number in the [inclusive,exclusive) range. -- -- /This generator does not shrink./ -- realFrac_ :: (MonadGen m, RealFrac a) => Range a -> m a realFrac_ range = generate $ \size seed -> let (x, y) = Range.bounds size range in realToFrac . fst $ Seed.nextDouble (realToFrac x) (realToFrac y) seed -- | Generates a random floating-point number in the @[inclusive,exclusive)@ range. -- -- /This is a specialization of 'realFloat', offered for convenience./ -- float :: MonadGen m => Range Float -> m Float float = realFloat -- | Generates a random floating-point number in the @[inclusive,exclusive)@ range. -- -- /This is a specialization of 'realFloat', offered for convenience./ -- double :: MonadGen m => Range Double -> m Double double = realFloat ------------------------------------------------------------------------ -- Combinators - Enumeration -- | Generates an element from an enumeration. -- -- This generator shrinks towards the first argument. -- -- For example: -- -- @ -- enum \'a' \'z' :: 'Gen' 'Char' -- @ -- enum :: (MonadGen m, Enum a) => a -> a -> m a enum lo hi = fmap toEnum . integral $ Range.constant (fromEnum lo) (fromEnum hi) -- | Generates a random value from a bounded enumeration. -- -- This generator shrinks towards 'minBound'. -- -- For example: -- -- @ -- enumBounded :: 'Gen' 'Bool' -- @ -- -- /This is implemented in terms of the 'Enum' class, and thus may be/ -- /partial for integral types larger than 'Int', e.g. 'Word64'./ enumBounded :: (MonadGen m, Enum a, Bounded a) => m a enumBounded = enum minBound maxBound -- | Generates a random boolean. -- -- This generator shrinks to 'False'. -- -- /This is a specialization of 'enumBounded', offered for convenience./ -- bool :: MonadGen m => m Bool bool = enumBounded -- | Generates a random boolean. -- -- /This generator does not shrink./ -- bool_ :: MonadGen m => m Bool bool_ = generate $ \_ seed -> (/= 0) . fst $ Seed.nextInteger 0 1 seed ------------------------------------------------------------------------ -- Combinators - Characters -- | Generates an ASCII binit: @'0'..'1'@ -- binit :: MonadGen m => m Char binit = enum '0' '1' -- | Generates an ASCII octit: @'0'..'7'@ -- octit :: MonadGen m => m Char octit = enum '0' '7' -- | Generates an ASCII digit: @'0'..'9'@ -- digit :: MonadGen m => m Char digit = enum '0' '9' -- | Generates an ASCII hexit: @'0'..'9', \'a\'..\'f\', \'A\'..\'F\'@ -- hexit :: MonadGen m => m Char hexit = -- FIXME optimize lookup, use a SmallArray or something. element "0123456789aAbBcCdDeEfF" -- | Generates an ASCII lowercase letter: @\'a\'..\'z\'@ -- lower :: MonadGen m => m Char lower = enum 'a' 'z' -- | Generates an ASCII uppercase letter: @\'A\'..\'Z\'@ -- upper :: MonadGen m => m Char upper = enum 'A' 'Z' -- | Generates an ASCII letter: @\'a\'..\'z\', \'A\'..\'Z\'@ -- alpha :: MonadGen m => m Char alpha = -- FIXME optimize lookup, use a SmallArray or something. element "abcdefghiklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" -- | Generates an ASCII letter or digit: @\'a\'..\'z\', \'A\'..\'Z\', \'0\'..\'9\'@ -- alphaNum :: MonadGen m => m Char alphaNum = -- FIXME optimize lookup, use a SmallArray or something. element "abcdefghiklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789" -- | Generates an ASCII character: @'\0'..'\127'@ -- ascii :: MonadGen m => m Char ascii = enum '\0' '\127' -- | Generates a Latin-1 character: @'\0'..'\255'@ -- latin1 :: MonadGen m => m Char latin1 = enum '\0' '\255' -- | Generates a Unicode character, excluding noncharacters and invalid standalone surrogates: -- @'\0'..'\1114111' (excluding '\55296'..'\57343', '\65534', '\65535')@ -- unicode :: (MonadGen m) => m Char unicode = let s1 = (55296, enum '\0' '\55295') s2 = (8190, enum '\57344' '\65533') s3 = (1048576, enum '\65536' '\1114111') in frequency [s1, s2, s3] -- | Generates a Unicode character, including noncharacters and invalid standalone surrogates: -- @'\0'..'\1114111'@ -- unicodeAll :: MonadGen m => m Char unicodeAll = enumBounded -- | Check if a character is in the surrogate category. -- isSurrogate :: Char -> Bool isSurrogate x = x >= '\55296' && x <= '\57343' -- | Check if a character is one of the noncharacters '\65534', '\65535'. -- isNoncharacter :: Char -> Bool isNoncharacter x = x == '\65534' || x == '\65535' ------------------------------------------------------------------------ -- Combinators - Strings -- | Generates a string using 'Range' to determine the length. -- -- /This is a specialization of 'list', offered for convenience./ -- string :: MonadGen m => Range Int -> m Char -> m String string = list -- | Generates a string using 'Range' to determine the length. -- text :: MonadGen m => Range Int -> m Char -> m Text text range = fmap Text.pack . string range -- | Generates a UTF-8 encoded string, using 'Range' to determine the length. -- utf8 :: MonadGen m => Range Int -> m Char -> m ByteString utf8 range = fmap Text.encodeUtf8 . text range -- | Generates a random 'ByteString', using 'Range' to determine the -- length. -- bytes :: MonadGen m => Range Int -> m ByteString bytes range = fmap ByteString.pack $ choice [ list range . word8 $ Range.constant (fromIntegral $ Char.ord 'a') (fromIntegral $ Char.ord 'z') , list range . word8 $ Range.constant minBound maxBound ] ------------------------------------------------------------------------ -- Combinators - Choice -- | Trivial generator that always produces the same element. -- -- /This is another name for 'pure' \/ 'return'./ constant :: MonadGen m => a -> m a constant = pure -- | Randomly selects one of the elements in the list. -- -- This generator shrinks towards the first element in the list. -- -- /The input list must be non-empty./ -- element :: MonadGen m => [a] -> m a element = \case [] -> error "Hedgehog.Gen.element: used with empty list" xs -> do n <- integral $ Range.constant 0 (length xs - 1) pure $ xs !! n -- | Randomly selects one of the generators in the list. -- -- This generator shrinks towards the first generator in the list. -- -- /The input list must be non-empty./ -- choice :: MonadGen m => [m a] -> m a choice = \case [] -> error "Hedgehog.Gen.choice: used with empty list" xs -> do n <- integral $ Range.constant 0 (length xs - 1) xs !! n -- | Uses a weighted distribution to randomly select one of the generators in -- the list. -- -- This generator shrinks towards the first generator in the list. -- -- /The input list must be non-empty./ -- frequency :: MonadGen m => [(Int, m a)] -> m a frequency = \case [] -> error "Hedgehog.Gen.frequency: used with empty list" xs0 -> do let pick n = \case [] -> error "Hedgehog.Gen.frequency/pick: used with empty list" (k, x) : xs -> if n <= k then x else pick (n - k) xs iis = scanl1 (+) (fmap fst xs0) total = sum (fmap fst xs0) n <- shrink (\n -> takeWhile (< n) iis) $ integral_ $ Range.constant 1 total pick n xs0 -- | Modifies combinators which choose from a list of generators, like 'choice' -- or 'frequency', so that they can be used in recursive scenarios. -- -- This combinator modifies its target to select one of the generators in -- either the non-recursive or the recursive list. When a selection is made -- from the recursive list, the 'Size' is halved. When the 'Size' gets to one -- or less, selections are no longer made from the recursive list, this -- ensures termination. -- -- A good example of where this might be useful is abstract syntax trees: -- -- @ -- data Expr = -- Var String -- | Lam String Expr -- | App Expr Expr -- -- -- Assuming we have a name generator -- genName :: 'MonadGen' m => m String -- -- -- We can write a generator for expressions -- genExpr :: 'MonadGen' m => m Expr -- genExpr = -- Gen.'recursive' Gen.'choice' [ -- -- non-recursive generators -- Var '<$>' genName -- ] [ -- -- recursive generators -- Gen.'subtermM' genExpr (\x -> Lam '<$>' genName '<*>' pure x) -- , Gen.'subterm2' genExpr genExpr App -- ] -- @ -- -- If we wrote the above example using only 'choice', it is likely that it -- would fail to terminate. This is because for every call to @genExpr@, -- there is a 2 in 3 chance that we will recurse again. -- recursive :: MonadGen m => ([m a] -> m a) -> [m a] -> [m a] -> m a recursive f nonrec rec = sized $ \n -> if n <= 1 then f nonrec else f $ nonrec ++ fmap small rec ------------------------------------------------------------------------ -- Combinators - Conditional -- | Discards the whole generator. -- discard :: MonadGen m => m a discard = fromGenT empty -- | Discards the generator if the generated value does not satisfy the -- predicate. -- ensure :: MonadGen m => (a -> Bool) -> m a -> m a ensure p gen = do x <- gen if p x then pure x else discard fromPred :: (a -> Bool) -> a -> Maybe a fromPred p a = a <$ guard (p a) -- | Generates a value that satisfies a predicate. -- -- This is essentially: -- -- @ -- filter p gen = 'mfilter' p gen '<|>' filter p gen -- @ -- -- It differs from the above in that we keep some state to avoid looping -- forever. If we trigger these limits then the whole generator is discarded. -- filter :: (MonadGen m, GenBase m ~ Identity) => (a -> Bool) -> m a -> m a filter p = mapMaybe (fromPred p) mapMaybe :: (MonadGen m, GenBase m ~ Identity) => (a -> Maybe b) -> m a -> m b mapMaybe p gen0 = let try k = if k > 100 then discard else do (x, gen) <- freeze $ scale (2 * k +) gen0 case p x of Just _ -> withGenT (mapGenT (Tree.mapMaybeMaybeT p)) gen Nothing -> try (k + 1) in try 0 filterT :: MonadGen m => (a -> Bool) -> m a -> m a filterT p = mapMaybeT (fromPred p) mapMaybeT :: MonadGen m => (a -> Maybe b) -> m a -> m b mapMaybeT p gen0 = let try k = if k > 100 then discard else do (x, gen) <- freeze $ scale (2 * k +) gen0 case p x of Just _ -> withGenT (mapGenT (Tree.mapMaybeT p)) gen Nothing -> try (k + 1) in try 0 -- | Runs a 'Maybe' generator until it produces a 'Just'. -- -- /This is implemented using 'filter' and has the same caveats./ -- just :: (MonadGen m, GenBase m ~ Identity) => m (Maybe a) -> m a just g = do mx <- filter Maybe.isJust g case mx of Just x -> pure x Nothing -> error "Hedgehog.Gen.just: internal error, unexpected Nothing" -- | Runs a 'Maybe' generator until it produces a 'Just'. -- -- /This is implemented using 'filter' and has the same caveats./ -- justT :: MonadGen m => m (Maybe a) -> m a justT g = do mx <- filterT Maybe.isJust g case mx of Just x -> pure x Nothing -> error "Hedgehog.Gen.just: internal error, unexpected Nothing" ------------------------------------------------------------------------ -- Combinators - Collections -- | Generates a 'Nothing' some of the time. -- maybe :: MonadGen m => m a -> m (Maybe a) maybe gen = sized $ \n -> frequency [ (2, pure Nothing) , (1 + fromIntegral n, Just <$> gen) ] -- | Generates either an 'a' or a 'b'. -- -- As the size grows, this generator generates @Right@s more often than @Left@s. -- either :: MonadGen m => m a -> m b -> m (Either a b) either genA genB = sized $ \n -> frequency [ (2, Left <$> genA) , (1 + fromIntegral n, Right <$> genB) ] -- | Generates either an 'a' or a 'b', without bias. -- -- This generator generates as many @Right@s as it does @Left@s. -- either_ :: MonadGen m => m a -> m b -> m (Either a b) either_ genA genB = choice [ Left <$> genA , Right <$> genB ] -- | Generates a list using a 'Range' to determine the length. -- list :: MonadGen m => Range Int -> m a -> m [a] list range gen = let interleave = (interleaveTreeT . nodeValue =<<) in sized $ \size -> ensure (atLeast $ Range.lowerBound size range) . withGenT (mapGenT (TreeT . interleave . runTreeT)) $ do n <- integral_ range replicateM n (toTreeMaybeT gen) interleaveTreeT :: Monad m => [TreeT m a] -> m (NodeT m [a]) interleaveTreeT = fmap Tree.interleave . traverse runTreeT -- | Generates a seq using a 'Range' to determine the length. -- seq :: MonadGen m => Range Int -> m a -> m (Seq a) seq range gen = Seq.fromList <$> list range gen -- | Generates a non-empty list using a 'Range' to determine the length. -- nonEmpty :: MonadGen m => Range Int -> m a -> m (NonEmpty a) nonEmpty range gen = do xs <- list (fmap (max 1) range) gen case xs of [] -> error "Hedgehog.Gen.nonEmpty: internal error, generated empty list" _ -> pure $ NonEmpty.fromList xs -- | Generates a set using a 'Range' to determine the length. -- -- /This may fail to generate anything if the element generator/ -- /cannot produce a large enough number of unique items to satify/ -- /the required set size./ -- set :: (MonadGen m, Ord a) => Range Int -> m a -> m (Set a) set range gen = fmap Map.keysSet . map range $ fmap (, ()) gen -- | Generates a map using a 'Range' to determine the length. -- -- /This may fail to generate anything if the keys produced by the/ -- /generator do not account for a large enough number of unique/ -- /items to satify the required map size./ -- map :: (MonadGen m, Ord k) => Range Int -> m (k, v) -> m (Map k v) map range gen = sized $ \size -> ensure ((>= Range.lowerBound size range) . Map.size) . fmap Map.fromList . (sequence =<<) . shrink Shrink.list $ do k <- integral_ range uniqueByKey k gen -- | Generate exactly 'n' unique generators. -- uniqueByKey :: (MonadGen m, Ord k) => Int -> m (k, v) -> m [m (k, v)] uniqueByKey n gen = let try k xs0 = if k > 100 then discard else replicateM n (freeze gen) >>= \kvs -> case uniqueInsert n xs0 (fmap (first fst) kvs) of Left xs -> pure $ Map.elems xs Right xs -> try (k + 1) xs in try (0 :: Int) Map.empty uniqueInsert :: Ord k => Int -> Map k v -> [(k, v)] -> Either (Map k v) (Map k v) uniqueInsert n xs kvs0 = if Map.size xs >= n then Left xs else case kvs0 of [] -> Right xs (k, v) : kvs -> uniqueInsert n (Map.insertWith (\x _ -> x) k v xs) kvs -- | Check that list contains at least a certain number of elements. -- atLeast :: Int -> [a] -> Bool atLeast n = if n == 0 then const True else not . null . drop (n - 1) ------------------------------------------------------------------------ -- Combinators - Subterms data Subterms n a = One a | All (Vec n a) deriving (Functor, Foldable, Traversable) data Nat = Z | S Nat data Vec n a where Nil :: Vec 'Z a (:.) :: a -> Vec n a -> Vec ('S n) a infixr 5 :. deriving instance Functor (Vec n) deriving instance Foldable (Vec n) deriving instance Traversable (Vec n) -- | Freeze the size and seed used by a generator, so we can inspect the value -- which it will produce. -- -- This is used for implementing `list` and `subtermMVec`. It allows us to -- shrink the list itself before trying to shrink the values inside the list. -- freeze :: MonadGen m => m a -> m (a, m a) freeze = withGenT $ \gen -> GenT $ \size seed -> do mx <- lift . lift . runMaybeT . runTreeT $ runGenT size seed gen case mx of Nothing -> empty Just (NodeT x xs) -> pure (x, fromGenT . fromTreeMaybeT . Tree.fromNodeT $ NodeT x xs) shrinkSubterms :: Subterms n a -> [Subterms n a] shrinkSubterms = \case One _ -> [] All xs -> fmap One $ toList xs genSubterms :: MonadGen m => Vec n (m a) -> m (Subterms n a) genSubterms = (sequence =<<) . shrink shrinkSubterms . fmap All . mapM (fmap snd . freeze) fromSubterms :: Applicative m => (Vec n a -> m a) -> Subterms n a -> m a fromSubterms f = \case One x -> pure x All xs -> f xs -- | Constructs a generator from a number of sub-term generators. -- -- /Shrinks to one of the sub-terms if possible./ -- subtermMVec :: MonadGen m => Vec n (m a) -> (Vec n a -> m a) -> m a subtermMVec gs f = fromSubterms f =<< genSubterms gs -- | Constructs a generator from a sub-term generator. -- -- /Shrinks to the sub-term if possible./ -- subtermM :: MonadGen m => m a -> (a -> m a) -> m a subtermM gx f = subtermMVec (gx :. Nil) $ \(x :. Nil) -> f x -- | Constructs a generator from a sub-term generator. -- -- /Shrinks to the sub-term if possible./ -- subterm :: MonadGen m => m a -> (a -> a) -> m a subterm gx f = subtermM gx $ \x -> pure (f x) -- | Constructs a generator from two sub-term generators. -- -- /Shrinks to one of the sub-terms if possible./ -- subtermM2 :: MonadGen m => m a -> m a -> (a -> a -> m a) -> m a subtermM2 gx gy f = subtermMVec (gx :. gy :. Nil) $ \(x :. y :. Nil) -> f x y -- | Constructs a generator from two sub-term generators. -- -- /Shrinks to one of the sub-terms if possible./ -- subterm2 :: MonadGen m => m a -> m a -> (a -> a -> a) -> m a subterm2 gx gy f = subtermM2 gx gy $ \x y -> pure (f x y) -- | Constructs a generator from three sub-term generators. -- -- /Shrinks to one of the sub-terms if possible./ -- subtermM3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> m a) -> m a subtermM3 gx gy gz f = subtermMVec (gx :. gy :. gz :. Nil) $ \(x :. y :. z :. Nil) -> f x y z -- | Constructs a generator from three sub-term generators. -- -- /Shrinks to one of the sub-terms if possible./ -- subterm3 :: MonadGen m => m a -> m a -> m a -> (a -> a -> a -> a) -> m a subterm3 gx gy gz f = subtermM3 gx gy gz $ \x y z -> pure (f x y z) ------------------------------------------------------------------------ -- Combinators - Combinations & Permutations -- | Generates a random subsequence of a list. -- subsequence :: MonadGen m => [a] -> m [a] subsequence xs = shrink Shrink.list $ filterM (const bool_) xs -- | Generates a random permutation of a list. -- -- /This shrinks towards the order of the list being identical to the input/ -- /list./ -- shuffle :: MonadGen m => [a] -> m [a] -- We shuffle sequences instead of lists to make extracting an arbitrary -- element logarithmic instead of linear, and to make length calculation -- constant-time instead of linear. We could probably do better, but -- this is at least reasonably quick. shuffle = fmap toList . shuffleSeq . Seq.fromList -- | Generates a random permutation of a sequence. -- -- /This shrinks towards the order of the sequence being identical to the input/ -- /sequence./ -- shuffleSeq :: MonadGen m => Seq a -> m (Seq a) shuffleSeq xs = if null xs then pure Seq.empty else do n <- integral $ Range.constant 0 (length xs - 1) #if MIN_VERSION_containers(0,5,8) -- Data.Sequence should offer a version of deleteAt that returns the -- deleted element, but it does not currently do so. Lookup followed -- by deletion seems likely faster than splitting and then appending, -- but I haven't actually tested that. It's certainly easier to see -- what's going on. case Seq.lookup n xs of Just y -> (y Seq.<|) <$> shuffleSeq (Seq.deleteAt n xs) Nothing -> error "Hedgehog.Gen.shuffleSeq: internal error, lookup in empty sequence" #else case Seq.splitAt n xs of (beginning, end) -> case Seq.viewl end of y Seq.:< end' -> (y Seq.<|) <$> shuffleSeq (beginning Seq.>< end') Seq.EmptyL -> error "Hedgehog.Gen.shuffleSeq: internal error, lookup in empty sequence" #endif ------------------------------------------------------------------------ -- Sampling -- | Generate a sample from a generator. -- sample :: MonadIO m => Gen a -> m a sample gen = liftIO $ let loop n = if n <= 0 then error "Hedgehog.Gen.sample: too many discards, could not generate a sample" else do seed <- Seed.random case evalGen 30 seed gen of Nothing -> loop (n - 1) Just x -> pure $ Tree.treeValue x in loop (100 :: Int) -- | Run a generator with a random seed and print the outcome, and the first -- level of shrinks. -- -- @ -- Gen.print (Gen.'enum' \'a\' \'f\') -- @ -- -- > === Outcome === -- > 'd' -- > === Shrinks === -- > 'a' -- > 'b' -- > 'c' -- print :: (MonadIO m, Show a) => Gen a -> m () print gen = do seed <- liftIO Seed.random printWith 30 seed gen -- | Print the value produced by a generator, and the first level of shrinks, -- for the given size and seed. -- -- Use 'print' to generate a value from a random seed. -- printWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m () printWith size seed gen = liftIO $ do case evalGen size seed gen of Nothing -> do putStrLn "=== Outcome ===" putStrLn "" Just tree_ -> do let NodeT x ss = runIdentity (runTreeT tree_) putStrLn "=== Outcome ===" putStrLn (show x) putStrLn "=== Shrinks ===" for_ ss $ \s -> let NodeT y _ = runIdentity $ runTreeT s in putStrLn (show y) -- | Run a generator with a random seed and print the resulting shrink tree. -- -- @ -- Gen.printTree (Gen.'enum' \'a\' \'f\') -- @ -- -- > 'd' -- > ├╼'a' -- > ├╼'b' -- > │ └╼'a' -- > └╼'c' -- > ├╼'a' -- > └╼'b' -- > └╼'a' -- -- /This may not terminate when the tree is very large./ -- printTree :: (MonadIO m, Show a) => Gen a -> m () printTree gen = do seed <- liftIO Seed.random printTreeWith 30 seed gen -- | Print the shrink tree produced by a generator, for the given size and -- seed. -- -- Use 'printTree' to generate a value from a random seed. -- printTreeWith :: (MonadIO m, Show a) => Size -> Seed -> Gen a -> m () printTreeWith size seed gen = do liftIO . putStr $ renderTree size seed gen -- | Render the shrink tree produced by a generator, for the given size and -- seed. -- renderTree :: Show a => Size -> Seed -> Gen a -> String renderTree size seed gen = case evalGen size seed gen of Nothing -> "" Just x -> Tree.render (fmap show x) ------------------------------------------------------------------------ -- Internal -- $internal -- -- These functions are exported in case you need them in a pinch, but are not -- part of the public API and may change at any time, even as part of a minor -- update.