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collection of reusable typeclasses for the Effect ecosystem","maintainers":[{"email":"ma+npm@matechs.com","name":"michael.arnaldi"},{"email":"ma+effect@matechs.com","name":"effect-bot"}],"readme":"# Introduction\n\nWelcome to the documentation for `@effect/typeclass`, **a collection of re-usable typeclasses for the Effect ecosystem**.\n\nThe functional abstractions in `@effect/typeclass` can be broadly divided into two categories.\n\n- Abstractions For Concrete Types - These abstractions define properties of concrete types, such as `number` and `string`, as well as ways of combining those values.\n- Abstractions For Parameterized Types - These abstractions define properties of parameterized types such as `ReadonlyArray` and `Option` and ways of combining them.\n\n# Concrete Types\n\n## Members and derived functions\n\nNote: members are in bold.\n\n### Bounded\n\nA type class used to name the lower limit and the upper limit of a type.\n\nExtends:\n\n- `Order`\n\n| Name         | Given        | To           |\n| ------------ | ------------ | ------------ |\n| **maxBound** |              | `A`          |\n| **minBound** |              | `A`          |\n| reverse      | `Bounded<A>` | `Bounded<A>` |\n| clamp        | `A`          | `A`          |\n\n### Monoid\n\nA `Monoid` is a `Semigroup` with an identity. A `Monoid` is a specialization of a\n`Semigroup`, so its operation must be associative. Additionally,\n`x |> combine(empty) == empty |> combine(x) == x`. For example, if we have `Monoid<String>`,\nwith `combine` as string concatenation, then `empty = \"\"`.\n\nExtends:\n\n- `Semigroup`\n\n| Name           | Given                                 | To                            |\n| -------------- | ------------------------------------- | ----------------------------- |\n| **empty**      |                                       | `A`                           |\n| **combineAll** | `Iterable<A>`                         | `A`                           |\n| reverse        | `Monoid<A>`                           | `Monoid<A>`                   |\n| tuple          | `[Monoid<A>, Monoid<B>, ...]`         | `Monoid<[A, B, ...]>`         |\n| struct         | `{ a: Monoid<A>, b: Monoid<B>, ... }` | `Monoid<{ a: A, b: B, ... }>` |\n| min            | `Bounded<A>`                          | `Monoid<A>`                   |\n| max            | `Bounded<A>`                          | `Monoid<A>`                   |\n\n### Semigroup\n\nA `Semigroup` is any set `A` with an associative operation (`combine`):\n\n`x |> combine(y) |> combine(z) == x |> combine(y |> combine(z))`\n\n| Name            | Given                                       | To                               |\n| --------------- | ------------------------------------------- | -------------------------------- |\n| **combine**     | `A`, `A`                                    | `A`                              |\n| **combineMany** | `A`, `Iterable<A>`                          | `A`                              |\n| reverse         | `Semigroup<A>`                              | `Semigroup<A>`                   |\n| tuple           | `[Semigroup<A>, Semigroup<B>, ...]`         | `Semigroup<[A, B, ...]>`         |\n| struct          | `{ a: Semigroup<A>, b: Semigroup<B>, ... }` | `Semigroup<{ a: A, b: B, ... }>` |\n| min             | `Order<A>`                                  | `Semigroup<A>`                   |\n| max             | `Order<A>`                                  | `Semigroup<A>`                   |\n| constant        | `A`                                         | `Semigroup<A>`                   |\n| intercalate     | `A`, `Semigroup<A>`                         | `Semigroup<A>`                   |\n| first           |                                             | `Semigroup<A>`                   |\n| last            |                                             | `Semigroup<A>`                   |\n\n# Parameterized Types\n\n**Parameterized Types Hierarchy**\n\n```mermaid\nflowchart TD\n    Alternative --> SemiAlternative\n    Alternative --> Coproduct\n    Applicative --> Product\n    Coproduct --> SemiCoproduct\n    SemiAlternative --> Covariant\n    SemiAlternative --> SemiCoproduct\n    SemiApplicative --> SemiProduct\n    SemiApplicative --> Covariant\n    Applicative --> SemiApplicative\n    Chainable --> FlatMap\n    Chainable ---> Covariant\n    Monad --> FlatMap\n    Monad --> Pointed\n    Pointed --> Of\n    Pointed --> Covariant\n    Product --> SemiProduct\n    Product --> Of\n    SemiProduct --> Invariant\n    Covariant --> Invariant\n    SemiCoproduct --> Invariant\n```\n\n## Members and derived functions\n\nNote: members are in bold.\n\n### Alternative\n\nExtends:\n\n- `SemiAlternative`\n- `Coproduct`\n\n### Applicative\n\nExtends:\n\n- `SemiApplicative`\n- `Product`\n\n| Name       | Given       | To             |\n| ---------- | ----------- | -------------- |\n| liftMonoid | `Monoid<A>` | `Monoid<F<A>>` |\n\n### Bicovariant\n\nA type class of types which give rise to two independent, covariant\nfunctors.\n\n| Name      | Given                            | To         |\n| --------- | -------------------------------- | ---------- |\n| **bimap** | `F<E1, A>`, `E1 => E2`, `A => B` | `F<E2, B>` |\n| mapLeft   | `F<E1, A>`, `E1 => E2`           | `F<E2, A>` |\n| map       | `F<A>`, `A => B`                 | `F<B>`     |\n\n### Chainable\n\nExtends:\n\n- `FlatMap`\n- `Covariant`\n\n| Name           | Given                               | To                     |\n| -------------- | ----------------------------------- | ---------------------- |\n| tap            | `F<A>`, `A => F<B>`                 | `F<A>`                 |\n| andThenDiscard | `F<A>`, `F<B>`                      | `F<A>`                 |\n| bind           | `F<A>`, `name: string`, `A => F<B>` | `F<A & { [name]: B }>` |\n\n### Contravariant\n\nContravariant functors.\n\nExtends:\n\n- `Invariant`\n\n| Name                 | Given               | To        |\n| -------------------- | ------------------- | --------- |\n| **contramap**        | `F<A>`, `B => A`    | `F<B>`    |\n| contramapComposition | `F<G<A>>`, `A => B` | `F<G<B>>` |\n| imap                 | `contramap`         | `imap`    |\n\n### Coproduct\n\n`Coproduct` is a universal monoid which operates on kinds.\n\nThis type class is useful when its type parameter `F<_>` has a\nstructure that can be combined for any particular type, and which\nalso has a \"zero\" representation. Thus, `Coproduct` is like a `Monoid`\nfor kinds (i.e. parametrized types).\n\nA `Coproduct<F>` can produce a `Monoid<F<A>>` for any type `A`.\n\nHere's how to distinguish `Monoid` and `Coproduct`:\n\n- `Monoid<A>` allows `A` values to be combined, and also means there\n  is an \"empty\" `A` value that functions as an identity.\n\n- `Coproduct<F>` allows two `F<A>` values to be combined, for any `A`. It\n  also means that for any `A`, there is an \"zero\" `F<A>` value. The\n  combination operation and zero value just depend on the\n  structure of `F`, but not on the structure of `A`.\n\nExtends:\n\n- `SemiCoproduct`\n\n| Name             | Given            | To             |\n| ---------------- | ---------------- | -------------- |\n| **zero**         |                  | `F<A>`         |\n| **coproductAll** | `Iterable<F<A>>` | `F<A>`         |\n| getMonoid        |                  | `Monoid<F<A>>` |\n\n### Covariant\n\nCovariant functors.\n\nExtends:\n\n- `Invariant`\n\n| Name           | Given               | To        |\n| -------------- | ------------------- | --------- |\n| **map**        | `F<A>`, `A => B`    | `F<B>`    |\n| mapComposition | `F<G<A>>`, `A => B` | `F<G<B>>` |\n| imap           | `map`               | `imap`    |\n| flap           | `A`, `F<A => B>`    | `F<B>`    |\n| as             | `F<A>`, `B`         | `F<B>`    |\n| asUnit         | `F<A>`              | `F<void>` |\n\n### Filterable\n\n`Filterable<F>` allows you to `map` and filter out elements simultaneously.\n\n| Name                    | Given                          | To                   |\n| ----------------------- | ------------------------------ | -------------------- |\n| **partitionMap**        | `F<A>`, `A => Either<B, C>`    | `[F<B>, F<C>]`       |\n| **filterMap**           | `F<A>`, `A => Option<B>`       | `F<B>`               |\n| compact                 | `F<Option<A>>`                 | `F<A>`               |\n| separate                | `F<Either<A, B>>`              | `[F<A>, F<B>]`       |\n| filter                  | `F<A>`, `A => boolean`         | `F<A>`               |\n| partition               | `F<A>`, `A => boolean`         | `[F<A>, F<A>]`       |\n| partitionMapComposition | `F<G<A>>`, `A => Either<B, C>` | `[F<G<B>>, F<G<C>>]` |\n| filterMapComposition    | `F<G<A>>`, `A => Option<B>`    | `F<G<B>>`            |\n\n### FlatMap\n\n| Name                | Given                    | To          |\n| ------------------- | ------------------------ | ----------- |\n| **flatMap**         | `F<A>`, `A => F<B>`      | `F<B>`      |\n| flatten             | `F<F<A>>`                | `F<A>`      |\n| andThen             | `F<A>`, `F<B>`           | `F<B>`      |\n| composeKleisliArrow | `A => F<B>`, `B => F<C>` | `A => F<C>` |\n\n### Foldable\n\nData structures that can be folded to a summary value.\n\nIn the case of a collection (such as `ReadonlyArray`), these\nmethods will fold together (combine) the values contained in the\ncollection to produce a single result. Most collection types have\n`reduce` methods, which will usually be used by the associated\n`Foldable<F>` instance.\n\n| Name                | Given                                     | To                 |\n| ------------------- | ----------------------------------------- | ------------------ |\n| **reduce**          | `F<A>`, `B`, `(B, A) => B`                | `B`                |\n| reduceComposition   | `F<G<A>>`, `B`, `(B, A) => B`             | `B`                |\n| reduceRight         | `F<A>`, `B`, `(B, A) => B`                | `B`                |\n| foldMap             | `F<A>`, `Monoid<M>`, `A => M`             | `M`                |\n| toReadonlyArray     | `F<A>`                                    | `ReadonlyArray<A>` |\n| toReadonlyArrayWith | `F<A>`, `A => B`                          | `ReadonlyArray<B>` |\n| reduceKind          | `Monad<G>`, `F<A>`, `B`, `(B, A) => G<B>` | `G<B>`             |\n| reduceRightKind     | `Monad<G>`, `F<A>`, `B`, `(B, A) => G<B>` | `G<B>`             |\n| foldMapKind         | `Coproduct<G>`, `F<A>`, `(A) => G<B>`     | `G<B>`             |\n\n### Invariant\n\nInvariant functors.\n\n| Name            | Given                         | To                 |\n| --------------- | ----------------------------- | ------------------ |\n| **imap**        | `F<A>`, `A => B`, `B => A`    | `F<B>`             |\n| imapComposition | `F<G<A>>`, `A => B`, `B => A` | `F<G<B>>`          |\n| bindTo          | `F<A>`, `name: string`        | `F<{ [name]: A }>` |\n| tupled          | `F<A>`                        | `F<[A]>`           |\n\n### Monad\n\nAllows composition of dependent effectful functions.\n\nExtends:\n\n- `FlatMap`\n- `Pointed`\n\n### Of\n\n| Name          | Given | To        |\n| ------------- | ----- | --------- |\n| **of**        | `A`   | `F<A>`    |\n| ofComposition | `A`   | `F<G<A>>` |\n| unit          |       | `F<void>` |\n| Do            |       | `F<{}>`   |\n\n### Pointed\n\nExtends:\n\n- `Covariant`\n- `Of`\n\n### Product\n\nExtends:\n\n- `SemiProduct`\n- `Of`\n\n| Name           | Given                       | To                       |\n| -------------- | --------------------------- | ------------------------ |\n| **productAll** | `Iterable<F<A>>`            | `F<ReadonlyArray<A>>`    |\n| tuple          | `[F<A>, F<B>, ...]`         | `F<[A, B, ...]>`         |\n| struct         | `{ a: F<A>, b: F<B>, ... }` | `F<{ a: A, b: B, ... }>` |\n\n### SemiAlternative\n\nExtends:\n\n- `SemiCoproduct`\n- `Covariant`\n\n### SemiApplicative\n\nExtends:\n\n- `SemiProduct`\n- `Covariant`\n\n| Name           | Given               | To                           |\n| -------------- | ------------------- | ---------------------------- |\n| liftSemigroup  | `Semigroup<A>`      | `Semigroup<F<A>>`            |\n| ap             | `F<A => B>`, `F<A>` | `F<B>`                       |\n| andThenDiscard | `F<A>`, `F<B>`      | `F<A>`                       |\n| andThen        | `F<A>`, `F<B>`      | `F<B>`                       |\n| lift2          | `(A, B) => C`       | `(F<A>, F<B>) => F<C>`       |\n| lift3          | `(A, B, C) => D`    | `(F<A>, F<B>, F<C>) => F<D>` |\n\n### SemiCoproduct\n\n`SemiCoproduct` is a universal semigroup which operates on kinds.\n\nThis type class is useful when its type parameter `F<_>` has a\nstructure that can be combined for any particular type. Thus,\n`SemiCoproduct` is like a `Semigroup` for kinds (i.e. parametrized\ntypes).\n\nA `SemiCoproduct<F>` can produce a `Semigroup<F<A>>` for any type A.\n\nHere's how to distinguish `Semigroup` and `SemiCoproduct`:\n\n- `Semigroup<A>` allows two `A` values to be combined.\n\n- `SemiCoproduct<F>` allows two `F<A>` values to be combined, for any `A`.\n  The combination operation just depends on the structure of `F`,\n  but not the structure of `A`.\n\nExtends:\n\n- `Invariant`\n\n| Name              | Given            | To                |\n| ----------------- | ---------------- | ----------------- |\n| **coproduct**     | `F<A>`, `F<B>`   | `F<A \\| B>`       |\n| **coproductMany** | `Iterable<F<A>>` | `F<A>`            |\n| getSemigroup      |                  | `Semigroup<F<A>>` |\n| coproductEither   | `F<A>`, `F<B>`   | `F<Either<A, B>>` |\n\n### SemiProduct\n\nExtends:\n\n- `Invariant`\n\n| Name                   | Given                          | To                               |\n| ---------------------- | ------------------------------ | -------------------------------- |\n| **product**            | `F<A>`, `F<B>`                 | `F<[A, B]>`                      |\n| **productMany**        | `F<A>`, `Iterable<F<A>>`       | `F<[A, ...ReadonlyArray<A>]>`    |\n| productComposition     | `F<G<A>>`, `F<G<B>>`           | `F<G<[A, B]>>`                   |\n| productManyComposition | `F<G<A>>`, `Iterable<F<G<A>>>` | `F<G<[A, ...ReadonlyArray<A>]>>` |\n| nonEmptyTuple          | `[F<A>, F<B>, ...]`            | `F<[A, B, ...]>`                 |\n| nonEmptyStruct         | `{ a: F<A>, b: F<B>, ... }`    | `F<{ a: A, b: B, ... }>`         |\n| andThenBind            | `F<A>`, `name: string`, `F<B>` | `F<A & { [name]: B }>`           |\n| productFlatten         | `F<A>`, `F<B>`                 | `F<[...A, B]>`                   |\n\n### Traversable\n\nTraversal over a structure with an effect.\n\n| Name                | Given                                    | To           |\n| ------------------- | ---------------------------------------- | ------------ |\n| **traverse**        | `Applicative<F>`, `T<A>`, `A => F<B>`    | `F<T<B>>`    |\n| traverseComposition | `Applicative<F>`, `T<G<A>>`, `A => F<B>` | `F<T<G<B>>>` |\n| sequence            | `Applicative<F>`, `T<F<A>>`              | `F<T<A>>`    |\n| traverseTap         | `Applicative<F>`, `T<A>`, `A => F<B>`    | `F<T<A>>`    |\n\n### TraversableFilterable\n\n`TraversableFilterable`, also known as `Witherable`, represents list-like structures\nthat can essentially have a `traverse` and a `filter` applied as a single\ncombined operation (`traverseFilter`).\n\n| Name                     | Given                                            | To                |\n| ------------------------ | ------------------------------------------------ | ----------------- |\n| **traversePartitionMap** | `Applicative<F>`, `T<A>`, `A => F<Either<B, C>>` | `F<[T<B>, T<C>]>` |\n| **traverseFilterMap**    | `Applicative<F>`, `T<A>`, `A => F<Option<B>>`    | `F<T<B>>`         |\n| traverseFilter           | `Applicative<F>`, `T<A>`, `A => F<boolean>`      | `F<T<A>>`         |\n| traversePartition        | `Applicative<F>`, `T<A>`, `A => F<boolean>`      | `F<[T<A>, T<A>]>` |\n\n---\n\nAdapted from:\n\n- [cats](https://github.com/typelevel/cats)\n- [zio-prelude](https://github.com/zio/zio-prelude)\n- [zio-cheatsheet](https://github.com/ghostdogpr/zio-cheatsheet)\n","readmeFilename":"README.md"}