/**
 * 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>