Safe Haskell	Safe-Inferred
Language	Haskell2010

Constrained.Spec.Set

Contents

Orphan instances

Documentation

data SetSpec a Source #

Constructors

SetSpec (Set a) (Specification a) (Specification Integer)

Instances

Instances details

(Ord a, Arbitrary (Specification a), Arbitrary a) ⇒ Arbitrary (SetSpec a) Source #
Instance details Defined in Constrained.Spec.Set Methods arbitrary ∷ Gen (SetSpec a) Source # shrink ∷ SetSpec a → [SetSpec a] Source #
(Ord a, HasSpec a) ⇒ Monoid (SetSpec a) Source #
Instance details Defined in Constrained.Spec.Set Methods mempty ∷ SetSpec a # mappend ∷ SetSpec a → SetSpec a → SetSpec a # mconcat ∷ [SetSpec a] → SetSpec a #
(Ord a, HasSpec a) ⇒ Semigroup (SetSpec a) Source #
Instance details Defined in Constrained.Spec.Set Methods (<>) ∷ SetSpec a → SetSpec a → SetSpec a # sconcat ∷ NonEmpty (SetSpec a) → SetSpec a # stimes ∷ Integral b ⇒ b → SetSpec a → SetSpec a #
HasSpec a ⇒ Show (SetSpec a) Source #
Instance details Defined in Constrained.Spec.Set Methods showsPrec ∷ Int → SetSpec a → ShowS # show ∷ SetSpec a → String # showList ∷ [SetSpec a] → ShowS #

prettySetSpec ∷ HasSpec a ⇒ SetSpec a → Doc ann Source #

guardSetSpec ∷ (HasSpec a, Ord a) ⇒ [String] → SetSpec a → Specification (Set a) Source #

data SetW (d ∷ [Type]) (r ∷ Type) where Source #

Constructors

SingletonW ∷ (HasSpec a, Ord a) ⇒ SetW '[a] (Set a)
UnionW ∷ (HasSpec a, Ord a) ⇒ SetW '[Set a, Set a] (Set a)
SubsetW ∷ (HasSpec a, Ord a, HasSpec a) ⇒ SetW '[Set a, Set a] Bool
MemberW ∷ (HasSpec a, Ord a) ⇒ SetW '[a, Set a] Bool
DisjointW ∷ (HasSpec a, Ord a) ⇒ SetW '[Set a, Set a] Bool
FromListW ∷ (HasSpec a, Ord a) ⇒ SetW '[[a]] (Set a)

Instances

Instances details

Syntax SetW Source #
Instance details Defined in Constrained.Spec.Set Methods isInfix ∷ ∀ (dom ∷ [Type]) rng. SetW dom rng → Bool Source # prettySymbol ∷ ∀ deps (dom ∷ [Type]) rng ann. SetW dom rng → List (TermD deps) dom → Int → Maybe (Doc ann) Source #
Logic SetW Source #
Instance details Defined in Constrained.Spec.Set Methods propagateTypeSpec ∷ ∀ (as ∷ [Type]) b a. (AppRequires SetW as b, HasSpec a) ⇒ SetW as b → ListCtx Value as (HOLE a) → TypeSpec b → [b] → Specification a Source # propagateMemberSpec ∷ ∀ (as ∷ [Type]) b a. (AppRequires SetW as b, HasSpec a) ⇒ SetW as b → ListCtx Value as (HOLE a) → NonEmpty b → Specification a Source # propagate ∷ ∀ (as ∷ [Type]) b a. (AppRequires SetW as b, HasSpec a) ⇒ SetW as b → ListCtx Value as (HOLE a) → Specification b → Specification a Source # rewriteRules ∷ ∀ (dom ∷ [Type]) rng. (TypeList dom, Typeable dom, HasSpec rng, All HasSpec dom) ⇒ SetW dom rng → List Term dom → Evidence (AppRequires SetW dom rng) → Maybe (Term rng) Source # mapTypeSpec ∷ (HasSpec a, HasSpec b) ⇒ SetW '[a] b → TypeSpec a → Specification b Source # saturate ∷ ∀ (dom ∷ [Type]). SetW dom Bool → List Term dom → [Pred] Source #
Semantics SetW Source #
Instance details Defined in Constrained.Spec.Set Methods semantics ∷ ∀ (d ∷ [Type]) r. SetW d r → FunTy d r Source #
Show (SetW ds r) Source #
Instance details Defined in Constrained.Spec.Set Methods showsPrec ∷ Int → SetW ds r → ShowS # show ∷ SetW ds r → String # showList ∷ [SetW ds r] → ShowS #
Eq (SetW dom rng) Source #
Instance details Defined in Constrained.Spec.Set Methods (==) ∷ SetW dom rng → SetW dom rng → Bool # (/=) ∷ SetW dom rng → SetW dom rng → Bool #

setSem ∷ SetW ds r → FunTy ds r Source #

singletons ∷ [Set a] → [Set a] Source #

singleton_ ∷ (Ord a, HasSpec a) ⇒ Term a → Term (Set a) Source #

subset_ ∷ (Ord a, HasSpec a) ⇒ Term (Set a) → Term (Set a) → Term Bool Source #

member_ ∷ (Ord a, HasSpec a) ⇒ Term a → Term (Set a) → Term Bool Source #

union_ ∷ (Ord a, HasSpec a) ⇒ Term (Set a) → Term (Set a) → Term (Set a) Source #

disjoint_ ∷ (Ord a, HasSpec a) ⇒ Term (Set a) → Term (Set a) → Term Bool Source #

fromList_ ∷ ∀ a. (Ord a, HasSpec a) ⇒ Term [a] → Term (Set a) Source #

Orphan instances

Arbitrary (FoldSpec (Set a)) Source #
Instance details Methods arbitrary ∷ Gen (FoldSpec (Set a)) Source # shrink ∷ FoldSpec (Set a) → [FoldSpec (Set a)] Source #
(Ord a, HasSpec a, HasSpec (Set a)) ⇒ Monoid (Term (Set a)) Source #
Instance details Methods mempty ∷ Term (Set a) # mappend ∷ Term (Set a) → Term (Set a) → Term (Set a) # mconcat ∷ [Term (Set a)] → Term (Set a) #
(Ord a, HasSpec a, HasSpec (Set a)) ⇒ Semigroup (Term (Set a)) Source #
Instance details Methods (<>) ∷ Term (Set a) → Term (Set a) → Term (Set a) # sconcat ∷ NonEmpty (Term (Set a)) → Term (Set a) # stimes ∷ Integral b ⇒ b → Term (Set a) → Term (Set a) #
(Ord a, HasSpec a) ⇒ HasSpec (Set a) Source #
Instance details Associated Types type TypeSpec (Set a) Source # type Prerequisites (Set a) Source # Methods emptySpec ∷ TypeSpec (Set a) Source # combineSpec ∷ TypeSpec (Set a) → TypeSpec (Set a) → Specification (Set a) Source # genFromTypeSpec ∷ ∀ (m ∷ Type → Type). (HasCallStack, MonadGenError m) ⇒ TypeSpec (Set a) → GenT m (Set a) Source # conformsTo ∷ Set a → TypeSpec (Set a) → Bool Source # shrinkWithTypeSpec ∷ TypeSpec (Set a) → Set a → [Set a] Source # toPreds ∷ Term (Set a) → TypeSpec (Set a) → Pred Source # cardinalTypeSpec ∷ TypeSpec (Set a) → Specification Integer Source # cardinalTrueSpec ∷ Specification Integer Source # typeSpecHasError ∷ TypeSpec (Set a) → Maybe (NonEmpty String) Source # alternateShow ∷ TypeSpec (Set a) → BinaryShow Source # monadConformsTo ∷ Set a → TypeSpec (Set a) → Writer [String] Bool Source # typeSpecOpt ∷ TypeSpec (Set a) → [Set a] → Specification (Set a) Source # guardTypeSpec ∷ [String] → TypeSpec (Set a) → Specification (Set a) Source # prerequisites ∷ Evidence (Prerequisites (Set a)) Source #
Ord a ⇒ Sized (Set a) Source #
Instance details Methods sizeOf ∷ Set a → Integer Source # liftSizeSpec ∷ SizeSpec → [Integer] → Specification (Set a) Source # liftMemberSpec ∷ [Integer] → Specification (Set a) Source # sizeOfTypeSpec ∷ TypeSpec (Set a) → Specification Integer Source #
Ord a ⇒ Forallable (Set a) a Source #
Instance details Methods fromForAllSpec ∷ Specification a → Specification (Set a) Source # forAllToList ∷ Set a → [a] Source #