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- /**
- * The `Ord` type class represents types which support comparisons with a _total order_.
- *
- * Instances should satisfy the laws of total orderings:
- *
- * 1. Reflexivity: `S.compare(a, a) <= 0`
- * 2. Antisymmetry: if `S.compare(a, b) <= 0` and `S.compare(b, a) <= 0` then `a <-> b`
- * 3. Transitivity: if `S.compare(a, b) <= 0` and `S.compare(b, c) <= 0` then `S.compare(a, c) <= 0`
- *
- * @since 2.0.0
- */
- import { Contravariant1 } from './Contravariant'
- import { Eq } from './Eq'
- import { Monoid } from './Monoid'
- import { Ordering } from './Ordering'
- import { Semigroup } from './Semigroup'
- /**
- * @category model
- * @since 2.0.0
- */
- export interface Ord<A> extends Eq<A> {
- readonly compare: (first: A, second: A) => Ordering
- }
- /**
- * @category defaults
- * @since 2.10.0
- */
- export declare const equalsDefault: <A>(compare: (first: A, second: A) => Ordering) => (x: A, y: A) => boolean
- /**
- * @category constructors
- * @since 2.0.0
- */
- export declare const fromCompare: <A>(compare: (first: A, second: A) => Ordering) => Ord<A>
- /**
- * Given a tuple of `Ord`s returns an `Ord` for the tuple.
- *
- * @example
- * import { tuple } from 'fp-ts/Ord'
- * import * as B from 'fp-ts/boolean'
- * import * as S from 'fp-ts/string'
- * import * as N from 'fp-ts/number'
- *
- * const O = tuple(S.Ord, N.Ord, B.Ord)
- * assert.strictEqual(O.compare(['a', 1, true], ['b', 2, true]), -1)
- * assert.strictEqual(O.compare(['a', 1, true], ['a', 2, true]), -1)
- * assert.strictEqual(O.compare(['a', 1, true], ['a', 1, false]), 1)
- *
- * @since 2.10.0
- */
- export declare const tuple: <A extends readonly unknown[]>(...ords: { [K in keyof A]: Ord<A[K]> }) => Ord<Readonly<A>>
- /**
- * @since 2.10.0
- */
- export declare const reverse: <A>(O: Ord<A>) => Ord<A>
- /**
- * A typical use case for `contramap` would be like, given some `User` type, to construct an `Ord<User>`.
- *
- * We can do so with a function from `User -> X` where `X` is some value that we know how to compare
- * for ordering (meaning we have an `Ord<X>`)
- *
- * For example, given the following `User` type, there are lots of possible choices for `X`,
- * but let's say we want to sort a list of users by `lastName`.
- *
- * If we have a way of comparing `lastName`s for ordering (`ordLastName: Ord<string>`) and we know how to go from `User -> string`,
- * using `contramap` we can do this
- *
- * @example
- * import { pipe } from 'fp-ts/function'
- * import { contramap, Ord } from 'fp-ts/Ord'
- * import * as RA from 'fp-ts/ReadonlyArray'
- * import * as S from 'fp-ts/string'
- *
- * interface User {
- * readonly firstName: string
- * readonly lastName: string
- * }
- *
- * const ordLastName: Ord<string> = S.Ord
- *
- * const ordByLastName: Ord<User> = pipe(
- * ordLastName,
- * contramap((user) => user.lastName)
- * )
- *
- * assert.deepStrictEqual(
- * RA.sort(ordByLastName)([
- * { firstName: 'a', lastName: 'd' },
- * { firstName: 'c', lastName: 'b' }
- * ]),
- * [
- * { firstName: 'c', lastName: 'b' },
- * { firstName: 'a', lastName: 'd' }
- * ]
- * )
- *
- * @since 2.0.0
- */
- export declare const contramap: <A, B>(f: (b: B) => A) => (fa: Ord<A>) => Ord<B>
- /**
- * @category type lambdas
- * @since 2.0.0
- */
- export declare const URI = 'Ord'
- /**
- * @category type lambdas
- * @since 2.0.0
- */
- export declare type URI = typeof URI
- declare module './HKT' {
- interface URItoKind<A> {
- readonly [URI]: Ord<A>
- }
- }
- /**
- * A typical use case for the `Semigroup` instance of `Ord` is merging two or more orderings.
- *
- * For example the following snippet builds an `Ord` for a type `User` which
- * sorts by `created` date descending, and **then** `lastName`
- *
- * @example
- * import * as D from 'fp-ts/Date'
- * import { pipe } from 'fp-ts/function'
- * import { contramap, getSemigroup, Ord, reverse } from 'fp-ts/Ord'
- * import * as RA from 'fp-ts/ReadonlyArray'
- * import * as S from 'fp-ts/string'
- *
- * interface User {
- * readonly id: string
- * readonly lastName: string
- * readonly created: Date
- * }
- *
- * const ordByLastName: Ord<User> = pipe(
- * S.Ord,
- * contramap((user) => user.lastName)
- * )
- *
- * const ordByCreated: Ord<User> = pipe(
- * D.Ord,
- * contramap((user) => user.created)
- * )
- *
- * const ordUserByCreatedDescThenLastName = getSemigroup<User>().concat(
- * reverse(ordByCreated),
- * ordByLastName
- * )
- *
- * assert.deepStrictEqual(
- * RA.sort(ordUserByCreatedDescThenLastName)([
- * { id: 'c', lastName: 'd', created: new Date(1973, 10, 30) },
- * { id: 'a', lastName: 'b', created: new Date(1973, 10, 30) },
- * { id: 'e', lastName: 'f', created: new Date(1980, 10, 30) }
- * ]),
- * [
- * { id: 'e', lastName: 'f', created: new Date(1980, 10, 30) },
- * { id: 'a', lastName: 'b', created: new Date(1973, 10, 30) },
- * { id: 'c', lastName: 'd', created: new Date(1973, 10, 30) }
- * ]
- * )
- *
- * @category instances
- * @since 2.0.0
- */
- export declare const getSemigroup: <A = never>() => Semigroup<Ord<A>>
- /**
- * Returns a `Monoid` such that:
- *
- * - its `concat(ord1, ord2)` operation will order first by `ord1`, and then by `ord2`
- * - its `empty` value is an `Ord` that always considers compared elements equal
- *
- * @example
- * import { sort } from 'fp-ts/Array'
- * import { contramap, reverse, getMonoid } from 'fp-ts/Ord'
- * import * as S from 'fp-ts/string'
- * import * as B from 'fp-ts/boolean'
- * import { pipe } from 'fp-ts/function'
- * import { concatAll } from 'fp-ts/Monoid'
- * import * as N from 'fp-ts/number'
- *
- * interface User {
- * readonly id: number
- * readonly name: string
- * readonly age: number
- * readonly rememberMe: boolean
- * }
- *
- * const byName = pipe(
- * S.Ord,
- * contramap((p: User) => p.name)
- * )
- *
- * const byAge = pipe(
- * N.Ord,
- * contramap((p: User) => p.age)
- * )
- *
- * const byRememberMe = pipe(
- * B.Ord,
- * contramap((p: User) => p.rememberMe)
- * )
- *
- * const M = getMonoid<User>()
- *
- * const users: Array<User> = [
- * { id: 1, name: 'Guido', age: 47, rememberMe: false },
- * { id: 2, name: 'Guido', age: 46, rememberMe: true },
- * { id: 3, name: 'Giulio', age: 44, rememberMe: false },
- * { id: 4, name: 'Giulio', age: 44, rememberMe: true }
- * ]
- *
- * // sort by name, then by age, then by `rememberMe`
- * const O1 = concatAll(M)([byName, byAge, byRememberMe])
- * assert.deepStrictEqual(sort(O1)(users), [
- * { id: 3, name: 'Giulio', age: 44, rememberMe: false },
- * { id: 4, name: 'Giulio', age: 44, rememberMe: true },
- * { id: 2, name: 'Guido', age: 46, rememberMe: true },
- * { id: 1, name: 'Guido', age: 47, rememberMe: false }
- * ])
- *
- * // now `rememberMe = true` first, then by name, then by age
- * const O2 = concatAll(M)([reverse(byRememberMe), byName, byAge])
- * assert.deepStrictEqual(sort(O2)(users), [
- * { id: 4, name: 'Giulio', age: 44, rememberMe: true },
- * { id: 2, name: 'Guido', age: 46, rememberMe: true },
- * { id: 3, name: 'Giulio', age: 44, rememberMe: false },
- * { id: 1, name: 'Guido', age: 47, rememberMe: false }
- * ])
- *
- * @category instances
- * @since 2.4.0
- */
- export declare const getMonoid: <A = never>() => Monoid<Ord<A>>
- /**
- * @category instances
- * @since 2.7.0
- */
- export declare const Contravariant: Contravariant1<URI>
- /**
- * @since 2.11.0
- */
- export declare const trivial: Ord<unknown>
- /**
- * @since 2.11.0
- */
- export declare const equals: <A>(O: Ord<A>) => (second: A) => (first: A) => boolean
- /**
- * Test whether one value is _strictly less than_ another
- *
- * @since 2.0.0
- */
- export declare const lt: <A>(O: Ord<A>) => (first: A, second: A) => boolean
- /**
- * Test whether one value is _strictly greater than_ another
- *
- * @since 2.0.0
- */
- export declare const gt: <A>(O: Ord<A>) => (first: A, second: A) => boolean
- /**
- * Test whether one value is _non-strictly less than_ another
- *
- * @since 2.0.0
- */
- export declare const leq: <A>(O: Ord<A>) => (first: A, second: A) => boolean
- /**
- * Test whether one value is _non-strictly greater than_ another
- *
- * @since 2.0.0
- */
- export declare const geq: <A>(O: Ord<A>) => (first: A, second: A) => boolean
- /**
- * Take the minimum of two values. If they are considered equal, the first argument is chosen
- *
- * @since 2.0.0
- */
- export declare const min: <A>(O: Ord<A>) => (first: A, second: A) => A
- /**
- * Take the maximum of two values. If they are considered equal, the first argument is chosen
- *
- * @since 2.0.0
- */
- export declare const max: <A>(O: Ord<A>) => (first: A, second: A) => A
- /**
- * Clamp a value between a minimum and a maximum
- *
- * @since 2.0.0
- */
- export declare const clamp: <A>(O: Ord<A>) => (low: A, hi: A) => (a: A) => A
- /**
- * Test whether a value is between a minimum and a maximum (inclusive)
- *
- * @since 2.0.0
- */
- export declare const between: <A>(O: Ord<A>) => (low: A, hi: A) => (a: A) => boolean
- /**
- * Use [`tuple`](#tuple) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const getTupleOrd: <T extends ReadonlyArray<Ord<any>>>(
- ...ords: T
- ) => Ord<{
- [K in keyof T]: T[K] extends Ord<infer A> ? A : never
- }>
- /**
- * Use [`reverse`](#reverse) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const getDualOrd: <A>(O: Ord<A>) => Ord<A>
- /**
- * Use [`Contravariant`](#contravariant) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const ord: Contravariant1<URI>
- /**
- * Use [`Ord`](./boolean.ts.html#ord) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const ordBoolean: Ord<boolean>
- /**
- * Use [`Ord`](./string.ts.html#ord) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const ordString: Ord<string>
- /**
- * Use [`Ord`](./number.ts.html#ord) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const ordNumber: Ord<number>
- /**
- * Use [`Ord`](./Date.ts.html#ord) instead.
- *
- * @category zone of death
- * @since 2.0.0
- * @deprecated
- */
- export declare const ordDate: Ord<Date>
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