Uses of Class fj.Monoid

Packages that use Monoid
Package	Description
fj	Types that set the premise for the existence of Functional Java.
fj.control.parallel	Parallelization strategies.
fj.data	Common algebraic data types.
fj.data.fingertrees	Provides 2-3 finger trees, a functional representation of persistent sequences supporting access to the ends in amortized O(1) time.
fj.data.optic	Optic data types adapted from the Scala Monocle library and inspired by the Haskell Lens library.

Uses of Monoid in fj

Fields in fj declared as Monoid
Modifier and Type	Field	Description
`static Monoid<java.math.BigDecimal>`	Monoid.`bigdecimalAdditionMonoid`	A monoid that adds big decimals.
`static Monoid<java.math.BigDecimal>`	Monoid.`bigdecimalMultiplicationMonoid`	A monoid that multiplies big decimals.
`static Monoid<java.math.BigInteger>`	Monoid.`bigintAdditionMonoid`	A monoid that adds big integers.
`static Monoid<java.math.BigInteger>`	Monoid.`bigintMultiplicationMonoid`	A monoid that multiplies big integers.
`static Monoid<java.lang.Boolean>`	Monoid.`conjunctionMonoid`	A monoid that ANDs booleans.
`static Monoid<java.lang.Boolean>`	Monoid.`disjunctionMonoid`	A monoid that ORs booleans.
`static Monoid<java.lang.Boolean>`	Monoid.`exclusiveDisjunctionMonoid`	A monoid that XORs booleans.
`static Monoid<java.lang.Integer>`	Monoid.`intAdditionMonoid`	A monoid that adds integers.
`static Monoid<java.lang.Integer>`	Monoid.`intMaxMonoid`	A monoid for the maximum of two integers.
`static Monoid<java.lang.Integer>`	Monoid.`intMinMonoid`	A monoid for the minimum of two integers.
`static Monoid<java.lang.Integer>`	Monoid.`intMultiplicationMonoid`	A monoid that multiplies integers.
`static Monoid<java.lang.Long>`	Monoid.`longAdditionMonoid`	A monoid that adds longs.
`static Monoid<java.lang.Long>`	Monoid.`longMultiplicationMonoid`	A monoid that multiplies longs.
`static Monoid<Natural>`	Monoid.`naturalAdditionMonoid`	A monoid that adds natural numbers.
`static Monoid<Natural>`	Monoid.`naturalMultiplicationMonoid`	A monoid that multiplies natural numbers.
`static Monoid<java.lang.StringBuffer>`	Monoid.`stringBufferMonoid`	A monoid that appends string buffers.
`static Monoid<java.lang.StringBuilder>`	Monoid.`stringBuilderMonoid`	A monoid that appends string builders.
`static Monoid<java.lang.String>`	Monoid.`stringMonoid`	A monoid that appends strings.
`static Monoid<Unit>`	Monoid.`unitMonoid`	A monoid for the Unit value.

Methods in fj that return Monoid
Modifier and Type	Method	Description
`static <A> Monoid<Array<A>>`	Monoid.`arrayMonoid()`	A monoid for arrays.
`<B> Monoid<P2<A,B>>`	Monoid.`compose(Monoid<B> m)`	Composes this monoid with another.
`<B,C> Monoid<C>`	Monoid.`compose(Monoid<B> mb, F<C,A> a, F<C,B> b, F2<A,B,C> c)`
`Monoid<A>`	Monoid.`dual()`	Swaps the arguments when summing.
`static <A> Monoid<Option<A>>`	Monoid.`firstOptionMonoid()`	A monoid for options that take the first available value.
`static <A,B> Monoid<F<A,B>>`	Monoid.`functionMonoid(Monoid<B> mb)`	A monoid for functions.
`static <A> Monoid<IO<A>>`	Monoid.`ioMonoid(Monoid<A> ma)`	A monoid for IO values.
`static <A> Monoid<Option<A>>`	Monoid.`lastOptionMonoid()`	A monoid for options that take the last available value.
`Monoid<Option<A>>`	Semigroup.`lift()`	Lifts the semigroup to obtain a trivial monoid.
`static <A> Monoid<List<A>>`	Monoid.`listMonoid()`	A monoid for lists.
`Monoid<A>`	Ord.`maxMonoid(A zero)`
`Monoid<A>`	Ord.`minMonoid(A zero)`
`static <A> Monoid<A>`	Monoid.`monoid(F<A,F<A,A>> sum, A zero)`	Constructs a monoid from the given sum function and zero value, which must follow the monoidal laws.
`static <A> Monoid<A>`	Monoid.`monoid(F2<A,A,A> sum, A zero)`	Constructs a monoid from the given sum function and zero value, which must follow the monoidal laws.
`Monoid<A>`	Semigroup.`monoid(A zero)`	Constructs a monoid from this semigroup and a zero value, which must follow the monoidal laws.
`static <A> Monoid<A>`	Monoid.`monoidDef(Monoid.AltDefinition<A> def)`	Constructs a monoid from the given definition, which must follow the monoidal laws.
`static <A> Monoid<A>`	Monoid.`monoidDef(Monoid.Definition<A> def)`	Constructs a monoid from the given definition, which must follow the monoidal laws.
`static <A> Monoid<A>`	Monoid.`monoidDef(Semigroup.AltDefinition<A> s, A zero)`	Constructs a monoid from the given semigroup definition and zero value, which must follow the monoidal laws.
`static <A> Monoid<A>`	Monoid.`monoidDef(Semigroup.Definition<A> s, A zero)`	Constructs a monoid from the given semigroup definition and zero value, which must follow the monoidal laws.
`static <A> Monoid<Option<A>>`	Monoid.`optionMonoid(Semigroup<A> aSemigroup)`	Lift a `Semigroup<A>` for A to a `Monoid<Option<A>>`, using Option.none() as zero.
`static <A> Monoid<Set<A>>`	Monoid.`setIntersectionMonoid(Bounded<A> bounded, Enumerator<A> enumerator)`	A intersection monoid for sets.
`static <A> Monoid<Set<A>>`	Monoid.`setMonoid(Ord<A> o)`	A union monoid for sets.
`static <A> Monoid<Stream<A>>`	Monoid.`streamMonoid()`	A monoid for streams.
`<B> Monoid<B>`	Monoid.`xmap(F<A,B> f, F<B,A> g)`	Maps the given functions across this monoid as an invariant functor.

Methods in fj with parameters of type Monoid
Modifier and Type	Method	Description
`<B> Monoid<P2<A,B>>`	Monoid.`compose(Monoid<B> m)`	Composes this monoid with another.
`<B,C> Monoid<C>`	Monoid.`compose(Monoid<B> mb, F<C,A> a, F<C,B> b, F2<A,B,C> c)`
`default F<Tree<A>,B>`	F.`foldMapTree(Monoid<B> m)`	Returns a function that maps this function over a tree and folds it with the given monoid.
`static <A,B> Monoid<F<A,B>>`	Monoid.`functionMonoid(Monoid<B> mb)`	A monoid for functions.
`static <A> Monoid<IO<A>>`	Monoid.`ioMonoid(Monoid<A> ma)`	A monoid for IO values.

Uses of Monoid in fj.control.parallel

Methods in fj.control.parallel with parameters of type Monoid
Modifier and Type	Method	Description
`<A,B> Promise<B>`	ParModule.`parFoldMap(Stream<A> as, F<A,B> map, Monoid<B> reduce)`	Maps with the given function across the given stream in parallel, while folding with the given monoid.
`<A,B> Promise<B>`	ParModule.`parFoldMap(Stream<A> as, F<A,B> map, Monoid<B> reduce, F<Stream<A>,P2<Stream<A>,Stream<A>>> chunking)`	Maps with the given function across chunks of the given stream in parallel, while folding with the given monoid.
`<A,B> Promise<B>`	ParModule.`parFoldMap(java.lang.Iterable<A> as, F<A,B> map, Monoid<B> reduce)`	Maps with the given function across the given iterable in parallel, while folding with the given monoid.
`<A,B> Promise<B>`	ParModule.`parFoldMap(java.lang.Iterable<A> as, F<A,B> map, Monoid<B> reduce, F<java.lang.Iterable<A>,P2<java.lang.Iterable<A>,java.lang.Iterable<A>>> chunking)`	Maps with the given function across chunks of the given Iterable in parallel, while folding with the given monoid.

Uses of Monoid in fj.data

Fields in fj.data declared as Monoid
Modifier and Type	Field	Description
`private Monoid<W>`	Writer.`monoid`

Methods in fj.data that return Monoid
Modifier and Type	Method	Description
`Monoid<W>`	Writer.`monoid()`

Methods in fj.data with parameters of type Monoid
Modifier and Type	Method	Description
`static <K,A> PriorityQueue<K,A>`	PriorityQueue.`empty(Monoid<K> m, Equal<K> e)`	Creates an empty priority queue.
`<B> B`	Set.`foldMap(F<A,B> f, Monoid<B> m)`	Folds this Set using the given monoid.
`<B> B`	Tree.`foldMap(F<A,B> f, Monoid<B> m)`	Folds this tree using the given monoid.
`static <A,B> F<Tree<A>,B>`	Tree.`foldMap_(F<A,B> f, Monoid<B> m)`	Provides a function that folds a tree with the given monoid.
`<B> B`	Set.`foldMapRight(F<A,B> f, Monoid<B> m)`	Folds this Set from the right using the given monoid.
`<B,C> TreeMap<B,C>`	List.`groupBy(F<A,B> keyFunction, F<A,C> valueFunction, Monoid<C> monoid, Ord<B> keyOrd)`	Groups the elements of this list by a given keyFunction into a `TreeMap` and transforms the matching elements with the given valueFunction.
`static <W,A> Writer<W,A>`	Writer.`unit(A a, Monoid<W> m)`
`static <W,A> Writer<W,A>`	Writer.`unit(A a, W w, Monoid<W> m)`

Constructors in fj.data with parameters of type Monoid
Constructor	Description
`Writer(A a, W w, Monoid<W> m)`

Uses of Monoid in fj.data.fingertrees

Fields in fj.data.fingertrees declared as Monoid
Modifier and Type	Field	Description
`private Monoid<V>`	Measured.`m`

Methods in fj.data.fingertrees that return Monoid
Modifier and Type	Method	Description
`Monoid<V>`	Measured.`monoid()`	Returns the monoid used to sum measures.

Methods in fj.data.fingertrees with parameters of type Monoid
Modifier and Type	Method	Description
`static <V,A> FingerTree<V,A>`	FingerTree.`empty(Monoid<V> m, F<A,V> f)`	Creates an empty finger tree with elements of type A and node annotations of type V.
`static <V,A> Measured<V,A>`	FingerTree.`measured(Monoid<V> monoid, F<A,V> measure)`	Constructs a Measured instance for the element type, given a monoid and a measuring function.
`static <V,A> Measured<V,A>`	Measured.`measured(Monoid<V> m, F<A,V> measure)`

Constructors in fj.data.fingertrees with parameters of type Monoid
Constructor	Description
`Measured(Monoid<V> m, F<A,V> measure)`

Uses of Monoid in fj.data.optic

Methods in fj.data.optic with parameters of type Monoid
Modifier and Type	Method	Description
`F<S,A>`	Fold.`fold(Monoid<A> m)`	combine all targets using a target's `Monoid`
`F<S,A>`	PTraversal.`fold(Monoid<A> m)`	combine all targets using a target's `Monoid`
`abstract <M> F<S,M>`	Fold.`foldMap(Monoid<M> m, F<A,M> f)`	map each target to a `Monoid` and combine the results underlying representation of `Fold`, all `Fold` methods are defined in terms of foldMap
`abstract <M> F<S,M>`	PTraversal.`foldMap(Monoid<M> monoid, F<A,M> f)`	map each target to a `Monoid` and combine the results
`<M> F<S,M>`	Traversal.`foldMap(Monoid<M> monoid, F<A,M> f)`

Uses of Classfj.Monoid

Uses of Monoid in fj

Uses of Monoid in fj.control.parallel

Uses of Monoid in fj.data

Uses of Monoid in fj.data.fingertrees

Uses of Monoid in fj.data.optic

Uses of Class
fj.Monoid