File: Set.hs

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{-# LANGUAGE TemplateHaskell #-}

module Tests.Set (setTests) where

import Data.Foldable
import Data.Functor.Identity
import Data.Semigroup.Foldable
import qualified Data.Set as S
import qualified Data.Set.NonEmpty as NES
import qualified Data.Set.NonEmpty.Internal as NES
import Hedgehog
import qualified Hedgehog.Gen as Gen
import qualified Hedgehog.Range as Range
import Test.Tasty
import Tests.Util

setTests :: TestTree
setTests = groupTree $$discover

prop_valid :: Property
prop_valid =
  property $
    assert . NES.valid =<< forAll neSetGen

prop_valid_toSet :: Property
prop_valid_toSet = property $ do
  assert . S.valid . NES.toSet =<< forAll neSetGen

prop_valid_insertMinSet :: Property
prop_valid_insertMinSet = property $ do
  n <- forAll $ do
    m <- setGen
    let k = maybe dummyKey (subtract 1) $ S.lookupMin m
    pure $ NES.insertMinSet k m
  assert $ S.valid n

prop_valid_insertMaxSet :: Property
prop_valid_insertMaxSet = property $ do
  n <- forAll $ do
    m <- setGen
    let k = maybe dummyKey (+ 1) $ S.lookupMax m
    pure $ NES.insertMaxSet k m
  assert $ S.valid n

prop_valid_insertSetMin :: Property
prop_valid_insertSetMin = property $ do
  n <- forAll $ do
    m <- setGen
    let k = maybe dummyKey (subtract 1) $ S.lookupMin m
    pure $ NES.insertSetMin k m
  assert $ NES.valid n

prop_valid_insertSetMax :: Property
prop_valid_insertSetMax = property $ do
  n <- forAll $ do
    m <- setGen
    let k = maybe dummyKey (+ 1) $ S.lookupMax m
    pure $ NES.insertSetMax k m
  assert $ NES.valid n

prop_toSetIso1 :: Property
prop_toSetIso1 = property $ do
  m0 <- forAll setGen
  tripping
    m0
    NES.nonEmptySet
    (Identity . maybe S.empty NES.toSet)

prop_toSetIso2 :: Property
prop_toSetIso2 = property $ do
  m0 <- forAll $ Gen.maybe neSetGen
  tripping
    m0
    (maybe S.empty NES.toSet)
    (Identity . NES.nonEmptySet)

prop_read_show :: Property
prop_read_show = readShow neSetGen

prop_show_show1 :: Property
prop_show_show1 = showShow1 neSetGen

prop_splitRoot :: Property
prop_splitRoot = property $ do
  n <- forAll neSetGen
  let rs = NES.splitRoot n
      n' = foldl1 NES.merge rs
  assert $ NES.valid n'
  mapM_ (assert . (`NES.isSubsetOf` n)) rs
  n === n'

prop_insertSet :: Property
prop_insertSet =
  ttProp
    (GTKey :-> GTSet :-> TTNESet)
    S.insert
    NES.insertSet

prop_singleton :: Property
prop_singleton =
  ttProp
    (GTKey :-> TTNESet)
    S.singleton
    NES.singleton

prop_fromAscList :: Property
prop_fromAscList =
  ttProp
    (GTSorted STAsc (GTNEList Nothing (GTKey :&: GTVal)) :-> TTNESet)
    (S.fromAscList . fmap fst)
    (NES.fromAscList . fmap fst)

prop_fromDescList :: Property
prop_fromDescList =
  ttProp
    (GTSorted STDesc (GTNEList Nothing (GTKey :&: GTVal)) :-> TTNESet)
    (S.fromDescList . fmap fst)
    (NES.fromDescList . fmap fst)

prop_fromDistinctAscList :: Property
prop_fromDistinctAscList =
  ttProp
    (GTSorted STAsc (GTNEList Nothing GTKey) :-> TTNESet)
    S.fromDistinctAscList
    NES.fromDistinctAscList

prop_fromDistinctDescList :: Property
prop_fromDistinctDescList =
  ttProp
    (GTSorted STDesc (GTNEList Nothing GTKey) :-> TTNESet)
    S.fromDistinctDescList
    NES.fromDistinctDescList

prop_fromList :: Property
prop_fromList =
  ttProp
    (GTNEList Nothing GTKey :-> TTNESet)
    S.fromList
    NES.fromList

prop_powerSet :: Property
prop_powerSet =
  ttProp
    (GTNESet :-> TTNEList TTNESet)
    (S.toList . S.drop 1 . S.powerSet)
    (NES.toList . NES.powerSet)

prop_insert :: Property
prop_insert =
  ttProp
    (GTKey :-> GTNESet :-> TTNESet)
    S.insert
    NES.insert

prop_delete :: Property
prop_delete =
  ttProp
    (GTKey :-> GTNESet :-> TTSet)
    S.delete
    NES.delete

prop_member :: Property
prop_member =
  ttProp
    (GTKey :-> GTNESet :-> TTOther)
    S.member
    NES.member

prop_notMember :: Property
prop_notMember =
  ttProp
    (GTKey :-> GTNESet :-> TTOther)
    S.notMember
    NES.notMember

prop_lookupLT :: Property
prop_lookupLT =
  ttProp
    (GTKey :-> GTNESet :-> TTMaybe TTKey)
    S.lookupLT
    NES.lookupLT

prop_lookupGT :: Property
prop_lookupGT =
  ttProp
    (GTKey :-> GTNESet :-> TTMaybe TTKey)
    S.lookupGT
    NES.lookupGT

prop_lookupLE :: Property
prop_lookupLE =
  ttProp
    (GTKey :-> GTNESet :-> TTMaybe TTKey)
    S.lookupLE
    NES.lookupLE

prop_lookupGE :: Property
prop_lookupGE =
  ttProp
    (GTKey :-> GTNESet :-> TTMaybe TTKey)
    S.lookupGE
    NES.lookupGE

prop_size :: Property
prop_size =
  ttProp
    (GTNESet :-> TTOther)
    S.size
    NES.size

prop_isSubsetOf :: Property
prop_isSubsetOf =
  ttProp
    (GTNESet :-> GTNESet :-> TTOther)
    S.isSubsetOf
    NES.isSubsetOf

prop_isProperSubsetOf :: Property
prop_isProperSubsetOf =
  ttProp
    (GTNESet :-> GTNESet :-> TTOther)
    S.isProperSubsetOf
    NES.isProperSubsetOf

prop_disjoint :: Property
prop_disjoint =
  ttProp
    (GTNESet :-> GTNESet :-> TTOther)
    S.disjoint
    NES.disjoint

prop_union :: Property
prop_union =
  ttProp
    (GTNESet :-> GTNESet :-> TTNESet)
    S.union
    NES.union

prop_unions :: Property
prop_unions =
  ttProp
    (GTNEList (Just (Range.linear 2 5)) GTNESet :-> TTNESet)
    S.unions
    NES.unions

prop_difference :: Property
prop_difference =
  ttProp
    (GTNESet :-> GTNESet :-> TTSet)
    S.difference
    NES.difference

prop_intersection :: Property
prop_intersection =
  ttProp
    (GTNESet :-> GTNESet :-> TTSet)
    S.intersection
    NES.intersection

prop_cartesianProduct :: Property
prop_cartesianProduct =
  ttProp
    (GTNESet :-> GTNESet :-> TTNEList (TTKey :*: TTKey))
    (\xs -> S.toList . S.cartesianProduct xs)
    (\xs -> NES.toList . NES.cartesianProduct xs)

prop_disjointUnion :: Property
prop_disjointUnion =
  ttProp
    (GTNESet :-> GTNESet :-> TTNEList (TTEither TTKey TTKey))
    (\xs -> S.toList . S.disjointUnion xs)
    (\xs -> NES.toList . NES.disjointUnion xs)

prop_filter :: Property
prop_filter =
  ttProp
    (gf1 Gen.bool :?> GTNESet :-> TTSet)
    S.filter
    NES.filter

prop_takeWhileAntitone :: Property
prop_takeWhileAntitone =
  ttProp
    (GTNESet :-> TTSet)
    (S.takeWhileAntitone ((< 0) . getKX))
    (NES.takeWhileAntitone ((< 0) . getKX))

prop_dropWhileAntitone :: Property
prop_dropWhileAntitone =
  ttProp
    (GTNESet :-> TTSet)
    (S.dropWhileAntitone ((< 0) . getKX))
    (NES.dropWhileAntitone ((< 0) . getKX))

prop_spanAntitone :: Property
prop_spanAntitone =
  ttProp
    (GTNESet :-> TTThese TTNESet TTNESet)
    (S.spanAntitone ((< 0) . getKX))
    (NES.spanAntitone ((< 0) . getKX))

prop_partition :: Property
prop_partition =
  ttProp
    (gf1 Gen.bool :?> GTNESet :-> TTThese TTNESet TTNESet)
    S.partition
    NES.partition

prop_split :: Property
prop_split =
  ttProp
    (GTKey :-> GTNESet :-> TTMThese TTNESet TTNESet)
    S.split
    NES.split

prop_splitMember :: Property
prop_splitMember =
  ttProp
    (GTKey :-> GTNESet :-> TTOther :*: TTMThese TTNESet TTNESet)
    (\k -> (\(x, y, z) -> (y, (x, z))) . S.splitMember k)
    NES.splitMember

prop_lookupIndex :: Property
prop_lookupIndex =
  ttProp
    (GTKey :-> GTNESet :-> TTMaybe TTOther)
    S.lookupIndex
    NES.lookupIndex

prop_elemAt :: Property
prop_elemAt =
  ttProp
    (GTSize :-> GTNESet :-> TTKey)
    (\i m -> S.elemAt (i `mod` S.size m) m)
    (\i m -> NES.elemAt (i `mod` NES.size m) m)

prop_deleteAt :: Property
prop_deleteAt =
  ttProp
    (GTSize :-> GTNESet :-> TTSet)
    (\i m -> S.deleteAt (i `mod` S.size m) m)
    (\i m -> NES.deleteAt (i `mod` NES.size m) m)

prop_take :: Property
prop_take =
  ttProp
    (GTSize :-> GTNESet :-> TTSet)
    S.take
    NES.take

prop_drop :: Property
prop_drop =
  ttProp
    (GTSize :-> GTNESet :-> TTSet)
    S.drop
    NES.drop

prop_splitAt :: Property
prop_splitAt =
  ttProp
    (GTSize :-> GTNESet :-> TTThese TTNESet TTNESet)
    S.splitAt
    NES.splitAt

prop_map :: Property
prop_map =
  ttProp
    (gf1 keyGen :?> GTNESet :-> TTNESet)
    S.map
    NES.map

prop_mapMonotonic :: Property
prop_mapMonotonic =
  ttProp
    (GF valGen go :?> GTNESet :-> TTNESet)
    S.mapMonotonic
    NES.mapMonotonic
  where
    go f (K i t) = K (i * 2) (f t)

prop_foldr :: Property
prop_foldr =
  ttProp
    ( gf2 valGen
        :?> GTOther valGen
        :-> GTNESet
        :-> TTOther
    )
    S.foldr
    NES.foldr

prop_foldl :: Property
prop_foldl =
  ttProp
    ( gf2 valGen
        :?> GTOther valGen
        :-> GTNESet
        :-> TTOther
    )
    S.foldl
    NES.foldl

prop_foldr1 :: Property
prop_foldr1 =
  ttProp
    ( gf2 keyGen
        :?> GTNESet
        :-> TTOther
    )
    foldr1
    NES.foldr1

prop_foldl1 :: Property
prop_foldl1 =
  ttProp
    ( gf2 keyGen
        :?> GTNESet
        :-> TTOther
    )
    foldl1
    NES.foldl1

prop_foldr' :: Property
prop_foldr' =
  ttProp
    ( gf2 keyGen
        :?> GTOther keyGen
        :-> GTNESet
        :-> TTOther
    )
    S.foldr'
    NES.foldr'

prop_foldl' :: Property
prop_foldl' =
  ttProp
    ( gf2 keyGen
        :?> GTOther keyGen
        :-> GTNESet
        :-> TTOther
    )
    S.foldl'
    NES.foldl'

prop_foldr1' :: Property
prop_foldr1' =
  ttProp
    ( gf2 keyGen
        :?> GTNESet
        :-> TTOther
    )
    foldr1
    NES.foldr1'

prop_foldl1' :: Property
prop_foldl1' =
  ttProp
    ( gf2 keyGen
        :?> GTNESet
        :-> TTOther
    )
    foldl1
    NES.foldl1'

prop_findMin :: Property
prop_findMin =
  ttProp
    (GTNESet :-> TTKey)
    S.findMin
    NES.findMin

prop_findMax :: Property
prop_findMax =
  ttProp
    (GTNESet :-> TTKey)
    S.findMax
    NES.findMax

prop_deleteMin :: Property
prop_deleteMin =
  ttProp
    (GTNESet :-> TTSet)
    S.deleteMin
    NES.deleteMin

prop_deleteMax :: Property
prop_deleteMax =
  ttProp
    (GTNESet :-> TTSet)
    S.deleteMax
    NES.deleteMax

prop_deleteFindMin :: Property
prop_deleteFindMin =
  ttProp
    (GTNESet :-> TTKey :*: TTSet)
    S.deleteFindMin
    NES.deleteFindMin

prop_deleteFindMax :: Property
prop_deleteFindMax =
  ttProp
    (GTNESet :-> TTKey :*: TTSet)
    S.deleteFindMax
    NES.deleteFindMax

prop_toList :: Property
prop_toList =
  ttProp
    (GTNESet :-> TTNEList TTKey)
    S.toList
    NES.toList

prop_toDescList :: Property
prop_toDescList =
  ttProp
    (GTNESet :-> TTNEList TTKey)
    S.toDescList
    NES.toDescList

prop_elem :: Property
prop_elem =
  ttProp
    (GTKey :-> GTNESet :-> TTOther)
    elem
    elem

prop_fold1 :: Property
prop_fold1 =
  ttProp
    (GTNESet :-> TTKey)
    fold
    fold1

prop_fold :: Property
prop_fold =
  ttProp
    (GTNESet :-> TTKey)
    fold
    fold

prop_foldMap1 :: Property
prop_foldMap1 =
  ttProp
    (gf1 keyGen :?> GTNESet :-> TTOther)
    (\f -> foldMap ((: []) . f))
    (\f -> foldMap1 ((: []) . f))

prop_foldMap :: Property
prop_foldMap =
  ttProp
    (gf1 keyGen :?> GTNESet :-> TTOther)
    (\f -> foldMap ((: []) . f))
    (\f -> foldMap ((: []) . f))