/**
 * Multi-way trees (aka rose trees) and forests, where a forest is
 *
 * ```ts
 * type Forest<A> = Array<Tree<A>>
 * ```
 *
 * @since 2.0.0
 */
import { Applicative1 } from './Applicative.js';
import { Apply1 } from './Apply.js';
import { Chain1 } from './Chain.js';
import { Comonad1 } from './Comonad.js';
import { Eq } from './Eq.js';
import { Foldable1 } from './Foldable.js';
import { Functor1 } from './Functor.js';
import { HKT, Kind, Kind2, Kind3, Kind4, URIS, URIS2, URIS3, URIS4 } from './HKT.js';
import { Monad as MonadHKT, Monad1, Monad2, Monad2C, Monad3, Monad3C, Monad4 } from './Monad.js';
import { Monoid } from './Monoid.js';
import { Pointed1 } from './Pointed.js';
import { Predicate } from './Predicate.js';
import { Show } from './Show.js';
import { PipeableTraverse1, Traversable1 } from './Traversable.js';
/**
 * @category model
 * @since 2.0.0
 */
export type Forest<A> = Array<Tree<A>>;
/**
 * @category model
 * @since 2.0.0
 */
export interface Tree<A> {
    readonly value: A;
    readonly forest: Forest<A>;
}
/**
 * @category constructors
 * @since 2.0.0
 */
export declare function make<A>(value: A, forest?: Forest<A>): Tree<A>;
/**
 * @category instances
 * @since 2.0.0
 */
export declare function getShow<A>(S: Show<A>): Show<Tree<A>>;
/**
 * @category instances
 * @since 2.0.0
 */
export declare function getEq<A>(E: Eq<A>): Eq<Tree<A>>;
/**
 * Neat 2-dimensional drawing of a forest
 *
 * @since 2.0.0
 */
export declare function drawForest(forest: Forest<string>): string;
/**
 * Neat 2-dimensional drawing of a tree
 *
 * @example
 * import { make, drawTree } from 'fp-ts/Tree'
 *
 * const fa = make('a', [
 *   make('b'),
 *   make('c'),
 *   make('d', [make('e'), make('f')])
 * ])
 *
 * assert.strictEqual(drawTree(fa), `a
 * ├─ b
 * ├─ c
 * └─ d
 *    ├─ e
 *    └─ f`)
 *
 *
 * @since 2.0.0
 */
export declare function drawTree(tree: Tree<string>): string;
/**
 * Build a (possibly infinite) tree from a seed value in breadth-first order.
 *
 * @category constructors
 * @since 2.0.0
 */
export declare function unfoldTree<A, B>(b: B, f: (b: B) => [A, Array<B>]): Tree<A>;
/**
 * Build a (possibly infinite) forest from a list of seed values in breadth-first order.
 *
 * @category constructors
 * @since 2.0.0
 */
export declare function unfoldForest<A, B>(bs: Array<B>, f: (b: B) => [A, Array<B>]): Forest<A>;
/**
 * Monadic tree builder, in depth-first order
 *
 * @category constructors
 * @since 2.0.0
 */
export declare function unfoldTreeM<M extends URIS4>(M: Monad4<M>): <S, R, E, A, B>(b: B, f: (b: B) => Kind4<M, S, R, E, [A, Array<B>]>) => Kind4<M, S, R, E, Tree<A>>;
export declare function unfoldTreeM<M extends URIS3>(M: Monad3<M>): <R, E, A, B>(b: B, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Tree<A>>;
export declare function unfoldTreeM<M extends URIS3, E>(M: Monad3C<M, E>): <R, A, B>(b: B, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Tree<A>>;
export declare function unfoldTreeM<M extends URIS2>(M: Monad2<M>): <E, A, B>(b: B, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Tree<A>>;
export declare function unfoldTreeM<M extends URIS2, E>(M: Monad2C<M, E>): <A, B>(b: B, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Tree<A>>;
export declare function unfoldTreeM<M extends URIS>(M: Monad1<M>): <A, B>(b: B, f: (b: B) => Kind<M, [A, Array<B>]>) => Kind<M, Tree<A>>;
export declare function unfoldTreeM<M>(M: MonadHKT<M>): <A, B>(b: B, f: (b: B) => HKT<M, [A, Array<B>]>) => HKT<M, Tree<A>>;
/**
 * Monadic forest builder, in depth-first order
 *
 * @category constructors
 * @since 2.0.0
 */
export declare function unfoldForestM<M extends URIS4>(M: Monad4<M>): <S, R, E, A, B>(bs: Array<B>, f: (b: B) => Kind4<M, S, R, E, [A, Array<B>]>) => Kind4<M, S, R, E, Forest<A>>;
export declare function unfoldForestM<M extends URIS3>(M: Monad3<M>): <R, E, A, B>(bs: Array<B>, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Forest<A>>;
export declare function unfoldForestM<M extends URIS3, E>(M: Monad3C<M, E>): <R, A, B>(bs: Array<B>, f: (b: B) => Kind3<M, R, E, [A, Array<B>]>) => Kind3<M, R, E, Forest<A>>;
export declare function unfoldForestM<M extends URIS2>(M: Monad2<M>): <R, E, B>(bs: Array<B>, f: (b: B) => Kind2<M, R, [E, Array<B>]>) => Kind2<M, R, Forest<E>>;
export declare function unfoldForestM<M extends URIS2, E>(M: Monad2C<M, E>): <A, B>(bs: Array<B>, f: (b: B) => Kind2<M, E, [A, Array<B>]>) => Kind2<M, E, Forest<A>>;
export declare function unfoldForestM<M extends URIS>(M: Monad1<M>): <A, B>(bs: Array<B>, f: (b: B) => Kind<M, [A, Array<B>]>) => Kind<M, Forest<A>>;
export declare function unfoldForestM<M>(M: MonadHKT<M>): <A, B>(bs: Array<B>, f: (b: B) => HKT<M, [A, Array<B>]>) => HKT<M, Forest<A>>;
/**
 * Fold a tree into a "summary" value in depth-first order.
 *
 * For each node in the tree, apply `f` to the `value` and the result of applying `f` to each `forest`.
 *
 * This is also known as the catamorphism on trees.
 *
 * @example
 * import { fold, make } from 'fp-ts/Tree'
 * import { concatAll } from 'fp-ts/Monoid'
 * import { MonoidSum } from 'fp-ts/number'
 *
 * const t = make(1, [make(2), make(3)])
 *
 * const sum = concatAll(MonoidSum)
 *
 * // Sum the values in a tree:
 * assert.deepStrictEqual(fold((a: number, bs: Array<number>) => a + sum(bs))(t), 6)
 *
 * // Find the maximum value in the tree:
 * assert.deepStrictEqual(fold((a: number, bs: Array<number>) => bs.reduce((b, acc) => Math.max(b, acc), a))(t), 3)
 *
 * // Count the number of leaves in the tree:
 * assert.deepStrictEqual(fold((_: number, bs: Array<number>) => (bs.length === 0 ? 1 : sum(bs)))(t), 2)
 *
 * @category folding
 * @since 2.6.0
 */
export declare function fold<A, B>(f: (a: A, bs: Array<B>) => B): (tree: Tree<A>) => B;
/**
 * @since 2.0.0
 */
export declare const ap: <A>(fa: Tree<A>) => <B>(fab: Tree<(a: A) => B>) => Tree<B>;
/**
 * @category sequencing
 * @since 2.14.0
 */
export declare const flatMap: {
    <A, B>(f: (a: A) => Tree<B>): (ma: Tree<A>) => Tree<B>;
    <A, B>(ma: Tree<A>, f: (a: A) => Tree<B>): Tree<B>;
};
/**
 * @since 2.0.0
 */
export declare const extend: <A, B>(f: (wa: Tree<A>) => B) => (wa: Tree<A>) => Tree<B>;
/**
 * @since 2.0.0
 */
export declare const duplicate: <A>(wa: Tree<A>) => Tree<Tree<A>>;
/**
 * @category sequencing
 * @since 2.0.0
 */
export declare const flatten: <A>(mma: Tree<Tree<A>>) => Tree<A>;
/**
 * `map` can be used to turn functions `(a: A) => B` into functions `(fa: F<A>) => F<B>` whose argument and return types
 * use the type constructor `F` to represent some computational context.
 *
 * @category mapping
 * @since 2.0.0
 */
export declare const map: <A, B>(f: (a: A) => B) => (fa: Tree<A>) => Tree<B>;
/**
 * @category folding
 * @since 2.0.0
 */
export declare const reduce: <A, B>(b: B, f: (b: B, a: A) => B) => (fa: Tree<A>) => B;
/**
 * @category folding
 * @since 2.0.0
 */
export declare const foldMap: <M>(M: Monoid<M>) => <A>(f: (a: A) => M) => (fa: Tree<A>) => M;
/**
 * @category folding
 * @since 2.0.0
 */
export declare const reduceRight: <A, B>(b: B, f: (a: A, b: B) => B) => (fa: Tree<A>) => B;
/**
 * @category Extract
 * @since 2.6.2
 */
export declare const extract: <A>(wa: Tree<A>) => A;
/**
 * @category traversing
 * @since 2.6.3
 */
export declare const traverse: PipeableTraverse1<URI>;
/**
 * @category traversing
 * @since 2.6.3
 */
export declare const sequence: Traversable1<URI>['sequence'];
/**
 * @category constructors
 * @since 2.7.0
 */
export declare const of: <A>(a: A) => Tree<A>;
/**
 * @category type lambdas
 * @since 2.0.0
 */
export declare const URI = "Tree";
/**
 * @category type lambdas
 * @since 2.0.0
 */
export type URI = typeof URI;
declare module './HKT.js' {
    interface URItoKind<A> {
        readonly [URI]: Tree<A>;
    }
}
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Functor: Functor1<URI>;
/**
 * @category mapping
 * @since 2.10.0
 */
export declare const flap: <A>(a: A) => <B>(fab: Kind<"Tree", (a: A) => B>) => Kind<"Tree", B>;
/**
 * @category instances
 * @since 2.10.0
 */
export declare const Pointed: Pointed1<URI>;
/**
 * @category instances
 * @since 2.10.0
 */
export declare const Apply: Apply1<URI>;
/**
 * Combine two effectful actions, keeping only the result of the first.
 *
 * @since 2.0.0
 */
export declare const apFirst: <B>(second: Tree<B>) => <A>(first: Kind<"Tree", A>) => Kind<"Tree", A>;
/**
 * Combine two effectful actions, keeping only the result of the second.
 *
 * @since 2.0.0
 */
export declare const apSecond: <B>(second: Tree<B>) => <A>(first: Kind<"Tree", A>) => Kind<"Tree", B>;
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Applicative: Applicative1<URI>;
/**
 * @category instances
 * @since 2.10.0
 */
export declare const Chain: Chain1<URI>;
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Monad: Monad1<URI>;
/**
 * Composes computations in sequence, using the return value of one computation to determine the next computation and
 * keeping only the result of the first.
 *
 * @since 2.0.0
 */
export declare const chainFirst: <A, B>(f: (a: A) => Tree<B>) => (first: Tree<A>) => Tree<A>;
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Foldable: Foldable1<URI>;
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Traversable: Traversable1<URI>;
/**
 * @category instances
 * @since 2.7.0
 */
export declare const Comonad: Comonad1<URI>;
/**
 * @category do notation
 * @since 2.9.0
 */
export declare const Do: Tree<{}>;
/**
 * @category do notation
 * @since 2.8.0
 */
export declare const bindTo: <N extends string>(name: N) => <A>(fa: Kind<"Tree", A>) => Kind<"Tree", { readonly [K in N]: A; }>;
declare const let_: <N extends string, A, B>(name: Exclude<N, keyof A>, f: (a: A) => B) => (fa: Kind<"Tree", A>) => Kind<"Tree", { readonly [K in keyof A | N]: K extends keyof A ? A[K] : B; }>;
export { 
/**
 * @category do notation
 * @since 2.13.0
 */
let_ as let };
/**
 * @category do notation
 * @since 2.8.0
 */
export declare const bind: <N extends string, A, B>(name: Exclude<N, keyof A>, f: (a: A) => Kind<"Tree", B>) => (ma: Kind<"Tree", A>) => Kind<"Tree", { readonly [K in keyof A | N]: K extends keyof A ? A[K] : B; }>;
/**
 * @category do notation
 * @since 2.8.0
 */
export declare const apS: <N extends string, A, B>(name: Exclude<N, keyof A>, fb: Tree<B>) => (fa: Kind<"Tree", A>) => Kind<"Tree", { readonly [K in keyof A | N]: K extends keyof A ? A[K] : B; }>;
/**
 * @since 2.0.0
 */
export declare function elem<A>(E: Eq<A>): (a: A, fa: Tree<A>) => boolean;
/**
 * @since 2.11.0
 */
export declare const exists: <A>(predicate: Predicate<A>) => (ma: Tree<A>) => boolean;
/**
 * Alias of `flatMap`.
 *
 * @category legacy
 * @since 2.0.0
 */
export declare const chain: <A, B>(f: (a: A) => Tree<B>) => (ma: Tree<A>) => Tree<B>;
/**
 * This instance is deprecated, use small, specific instances instead.
 * For example if a function needs a `Functor` instance, pass `T.Functor` instead of `T.tree`
 * (where `T` is from `import T from 'fp-ts/Tree'`)
 *
 * @category zone of death
 * @since 2.0.0
 * @deprecated
 */
export declare const tree: Monad1<URI> & Foldable1<URI> & Traversable1<URI> & Comonad1<URI>;