/** Entries is an array of key-value pairs, with unique keys. */ export type Entries<K, V> = [K, V][];
/** Lists is a pair of key array and value array, with unique keys. */ export type Lists<K, V> = [K[], V[]];
/**
 * Handle reading of a single value.
 * @returns value
 */ export type ReadFunction<T> = () => T;
/**
 * Handle combining of two values.
 * @param a a value
 * @param b another value
 * @returns combined value
 */ export type CombineFunction<T> = (a: T, b: T) => T;
/**
 * Handle comparison of two values.
 * @param a a value
 * @param b another value
 * @returns a<b: -ve, a=b: 0, a>b: +ve
 */ export type CompareFunction<T> = (a: T, b: T) => number;
/**
 * Handle processing of values in lists.
 * @param v value in lists
 * @param k key of value in lists
 * @param x lists containing the value
 */ export type ProcessFunction<K, V> = (v: V, k: K, x: Lists<K, V>) => void;
/**
 * Handle selection of values in lists.
 * @param v value in lists
 * @param k key of value in lists
 * @param x lists containing the value
 * @returns selected?
 */ export type TestFunction<K, V> = (v: V, k: K, x: Lists<K, V>) => boolean;
/**
 * Handle transformation of a value to another.
 * @param v value in lists
 * @param k key of value in lists
 * @param x lists containing the value
 * @returns transformed value
 */ export type MapFunction<K, V, W> = (v: V, k: K, x: Lists<K, V> | null) => W;
/**
 * Handle reduction of multiple values into a single value.
 * @param acc accumulator (temporary result)
 * @param v value in lists
 * @param k key of value in lists
 * @param x lists containing the value
 * @returns reduced value
 */ export type ReduceFunction<K, V, W> = (acc: W, v: V, k: K, x: Lists<K, V>) => W;
/**
 * Handle ending of combined lists.
 * @param dones iᵗʰ lists done?
 * @returns combined lists done?
 */ export type EndFunction = (dones: boolean[]) => boolean;
/**
 * Check if value is lists.
 * @param v value
 * @returns v is lists?
 */ export declare function is<K, V>(v: unknown): v is Lists<K, V>;
/**
 * Get all keys.
 * @param x lists
 * @returns [k₀, k₁, ...] | kᵢ ∈ x[0]
 */ export declare function keys<K, V>(x: Lists<K, V>): K[];
/**
 * Get all values.
 * @param x lists
 * @returns [v₀, v₁, ...] | vᵢ ∈ x[1]
 */ export declare function values<K, V>(x: Lists<K, V>): V[];
/**
 * Obtain all key-value pairs.
 * @param x lists
 * @returns [[k₀, v₀], [k₁, v₁], ...] | kᵢ ∈ x[0]; vᵢ ∈ x[1]
 */ export declare function entries<K, V>(x: Lists<K, V>): Entries<K, V>;
/**
 * Convert map to lists.
 * @param x map
 * @returns x as lists
 */ export declare function fromMap<K, V>(x: Map<K, V>): Lists<K, V>;
/**
 * Convert entries to lists.
 * @param x entries
 * @returns x as lists
 */ export declare function fromEntries<K, V>(x: Entries<K, V>): Lists<K, V>;
/**
 * Shallow clone lists.
 * @param x lists
 * @returns shallow clone of x
 */ export declare function shallowClone<K, V>(x: Lists<K, V>): Lists<K, V>;
export { shallowClone as shallowCopy };
export { shallowClone as clone };
export { shallowClone as copy };
/**
 * Deep clone lists.
 * @param x lists
 * @returns deep clone of x
 */ export declare function deepClone<K, V>(x: Lists<K, V>): Lists<K, V>;
export { deepClone as structuredClone };
export { deepClone as deepCopy };
/**
 * Find the size of lists.
 * @param x lists
 * @returns |x|
 */ export declare function size<K, V>(x: Lists<K, V>): number;
export { size as length };
/**
 * Check if lists is empty.
 * @param x lists
 * @returns |x| = 0?
 */ export declare function isEmpty<K, V>(x: Lists<K, V>): boolean;
/**
 * Compare two lists.
 * @param x lists
 * @param y another lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns x=y: 0, otherwise: -ve/+ve
 */ export declare function compare<K, V, W = V>(x: Lists<K, V>, y: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): number;
/**
 * Check if two lists are equal.
 * @param x lists
 * @param y another lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns x=y?
 */ export declare function isEqual<K, V, W = V>(x: Lists<K, V>, y: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): boolean;
/**
 * Get key at index.
 * @param x lists
 * @param i index
 * @returns k₀ | kᵢ = x[0][i]
 */ export declare function keyAt<K, V>(x: Lists<K, V>, i: number): K;
/**
 * Get value at index.
 * @param x lists
 * @param i index
 * @returns v₀ | vᵢ = x[1][i]
 */ export declare function valueAt<K, V>(x: Lists<K, V>, i: number): V;
/**
 * Get entry at index.
 * @param x lists
 * @param i index
 * @returns [k₀, v₀] | kᵢ = x[0][i]; vᵢ = x[1][i]
 */ export declare function entryAt<K, V>(x: Lists<K, V>, i: number): [K, V];
/**
 * Obtain value at key.
 * @param x lists
 * @param k key
 * @returns x[k]
 */ export declare function get<K, V>(x: Lists<K, V>, k: K): V | undefined;
/**
 * Obtain values at keys.
 * @param x lists
 * @param ks keys
 * @returns [x[k₀], x[k₁], ...] | [k₀, k₁, ...] = ks
 */ export declare function getAll<K, V>(x: Lists<K, V>, ks: K[]): V[];
/**
 * Obtain value at path in nested lists.
 * @param x nested lists
 * @param p path
 * @returns x[k₀][k₁][...] | [k₀, k₁, ...] = p
 */ export declare function getPath<K>(x: Lists<K, unknown>, p: K[]): unknown;
/**
 * Check if nested lists has a path.
 * @param x nested lists
 * @param p search path
 * @returns x[k₀][k₁][...] exists? | [k₀, k₁, ...] = p
 */ export declare function hasPath<T>(x: Lists<T, unknown>, p: T[]): boolean;
/**
 * Set value at key.
 * @param x lists (updated!)
 * @param k key
 * @param v value
 * @returns x | x[k] = v
 */ export declare function set$<K, V>(x: Lists<K, V>, k: K, v: V): Lists<K, V>;
/**
 * Set value at key.
 * @param x lists
 * @param k key
 * @param v value
 * @returns x' | x' = x; x'[k] = v
 */ export declare function set<K, V>(x: Lists<K, V>, k: K, v: V): Lists<K, V>;
/**
 * Exchange two values.
 * @param x lists (updated!)
 * @param k a key
 * @param l another key
 * @returns x | x[k] ⇔ x[l]
 */ export declare function swap$<K, V>(x: Lists<K, V>, k: K, l: K): Lists<K, V>;
/**
 * Exchange two values.
 * @param x lists
 * @param k a key
 * @param l another key
 * @returns x' | x' = x; x'[k] = x[l]; x'[l] = x[k]
 */ export declare function swap<K, V>(x: Lists<K, V>, k: K, l: K): Lists<K, V>;
/**
 * Remove value at key.
 * @param x lists (updated!)
 * @param k key
 * @returns x | x = x \\ \{[k, *]\}
 */ export declare function remove$<K, V>(x: Lists<K, V>, k: K): Lists<K, V>;
/**
 * Remove value at key.
 * @param x lists
 * @param k key
 * @returns x \\ \{[k, *]\}
 */ export declare function remove<K, V>(x: Lists<K, V>, k: K): Lists<K, V>;
/**
 * Get first entry from lists.
 * @param x lists
 * @param ed default entry
 * @returns [k₀, v₀] if x ≠ Φ else ed | [k₀, v₀] ∈ x
 */ export declare function head<K, V>(x: Lists<K, V>, ed?: [K, V]): [K, V];
/**
 * Obtain lists without its first entry.
 * @param x lists
 * @returns x \\ \{[k₀, v₀]\} if x ≠ Φ else x | [k₀, v₀] ∈ x
 */ export declare function tail<K, V>(x: Lists<K, V>): Lists<K, V>;
/**
 * Obtain all but the last entry from lists.
 * @param x lists
 * @returns x \\ \{[kᵢ, vᵢ]\} if x ≠ Φ else x | [kᵢ, vᵢ] ∈ x; i = |x| - 1
 */ export declare function init<K, V>(x: Lists<K, V>): Lists<K, V>;
/**
 * Get last entry from lists.
 * @param x lists
 * @param ed default entry
 * @returns [kᵢ, vᵢ] if x ≠ Φ else ed | [kᵢ, vᵢ] ∈ x; i = |x| - 1
 */ export declare function last<K, V>(x: Lists<K, V>, ed?: [K, V]): [K, V];
/**
 * Obtain a portion of lists (shallow).
 * @param x lists (updated!)
 * @param i start index [0]
 * @param I end index (exclusive) [|x|]
 * @returns x | x = \{[kᵢ, vᵢ], [kᵢ₊₁, vᵢ₊₁], ...\} | [kⱼ, vⱼ] ∈ x and i ≤ j < I
 */ export declare function slice$<K, V>(x: Lists<K, V>, i?: number, I?: number): Lists<K, V>;
/**
 * Obtain a portion of lists (shallow).
 * @param x lists
 * @param i start index [0]
 * @param I end index (exclusive) [|x|]
 * @returns \{[kᵢ, vᵢ], [kᵢ₊₁, vᵢ₊₁], ...\} | [kⱼ, vⱼ] ∈ x and i ≤ j < I
 */ export declare function slice<K, V>(x: Lists<K, V>, i?: number, I?: number): Lists<K, V>;
/**
 * Change contents of lists by removing existing entries and/or adding new ones.
 * @param x lists (updated!)
 * @param i start index [0]
 * @param n number of entries to remove [|x|-i]
 * @param es entries to add [Φ]
 * @returns x | x = \{[k₀, v₀], ..., [kᵢ₋₁, vᵢ₋₁], [kᵢ₊ₙ, vᵢ₊ₙ], ...\} | [kⱼ, vⱼ] ∈ x and j ∈ [0, i) ∪ [i+n, |x|)
 */ export declare function splice$<K, V>(x: Lists<K, V>, i?: number, n?: number, ...es: [K, V][]): Lists<K, V>;
/**
 * Change contents of lists by removing existing entries and/or adding new ones.
 * @param x lists
 * @param i start index [0]
 * @param n number of entries to remove [|x|-i]
 * @param es entries to add [Φ]
 * @returns \{[k₀, v₀], ..., [kᵢ₋₁, vᵢ₋₁], [kᵢ₊ₙ, vᵢ₊ₙ], ...\} | [kⱼ, vⱼ] ∈ x and j ∈ [0, i) ∪ [i+n, |x|)
 */ export declare function splice<K, V>(x: Lists<K, V>, i?: number, n?: number, ...es: [K, V][]): Lists<K, V>;
/**
 * Keep first n entries only.
 * @param x lists (updated!)
 * @param n number of entries [1]
 * @returns x | x = \{[k₀, v₀], [k₁, v₁], ...\} | [kᵢ, vᵢ] ∈ x and |\{[k₀, v₀], [k₁, v₁], ...\}| ≤ n
 */ export declare function take$<K, V>(x: Lists<K, V>, n?: number): Lists<K, V>;
/**
 * Keep first n entries only.
 * @param x lists
 * @param n number of entries [1]
 * @returns \{[k₀, v₀], [k₁, v₁], ...\} | [kᵢ, vᵢ] ∈ x and |\{[k₀, v₀], [k₁, v₁], ...\}| ≤ n
 */ export declare function take<K, V>(x: Lists<K, V>, n?: number): Lists<K, V>;
/**
 * Remove first n entries.
 * @param x lists (updated!)
 * @param n number of entries [1]
 * @returns x | x = \{[kₙ, vₙ], [kₙ₊₁, vₙ₊₁], ...\} | [kᵢ, vᵢ] ∈ x and |\{[kₙ, vₙ], [kₙ₊₁, vₙ₊₁], ...\}| ≤ max(|x| - n, 0)
 */ export declare function drop$<K, V>(x: Lists<K, V>, n?: number): Lists<K, V>;
/**
 * Remove first n entries.
 * @param x a map
 * @param n number of entries [1]
 * @returns \{[kₙ, vₙ], [kₙ₊₁, vₙ₊₁], ...\} | [kᵢ, vᵢ] ∈ x and |\{[kₙ, vₙ], [kₙ₊₁, vₙ₊₁], ...\}| ≤ max(|x| - n, 0)
 */ export declare function drop<K, V>(x: Lists<K, V>, n?: number): Lists<K, V>;
/**
 * Count values which satisfy a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns Σtᵢ | tᵢ = 1 if ft(vᵢ) else 0; [kᵢ, vᵢ] ∈ x
 */ export declare function count<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): number;
/**
 * Count occurrences of values.
 * @param x lists
 * @param fm map function (v, k, x)
 * @returns Map \{value ⇒ count\}
 */ export declare function countAs<K, V, W = V>(x: Lists<K, V>, fm?: MapFunction<K, V, V | W> | null): Map<V | W, number>;
/**
 * Find smallest value.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns v | v ≤ vᵢ; [kᵢ, vᵢ] ∈ x
 */ export declare function min<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): V;
/**
 * Find smallest entry.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns [min_key, min_value]
 */ export declare function minEntry<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): [K, V];
/**
 * Find largest value.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns v | v ≥ vᵢ; [kᵢ, vᵢ] ∈ x
 */ export declare function max<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): V;
/**
 * Find largest entry.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns [max_key, max_value]
 */ export declare function maxEntry<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): [K, V];
/**
 * Find smallest and largest values.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns [min_value, max_value]
 */ export declare function range<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): [V, V];
/**
 * Find smallest and largest entries.
 * @param x lists
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns [min_entry, max_entry]
 */ export declare function rangeEntries<K, V, W = V>(x: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): [[K, V], [K, V]];
/**
 * List all possible subsets.
 * @param x lists
 * @param n number of entries in each subset [-1 ⇒ any]
 * @returns entries selected by bit from 0..2^|x| if n<0; only of length n otherwise
 */ export declare function subsets<K, V>(x: Lists<K, V>, n?: number): Iterable<Lists<K, V>>;
/**
 * Pick an arbitrary key.
 * @param x lists
 * @param fr random number generator ([0, 1))
 * @returns kᵢ | kᵢ ∈ x[0]
 */ export declare function randomKey<K, V>(x: Lists<K, V>, fr?: ReadFunction<number>): K;
export { randomKey as key };
/**
 * Pick an arbitrary value.
 * @param x lists
 * @param fr random number generator ([0, 1))
 * @returns vᵢ | vᵢ ∈ x[1]
 */ export declare function randomValue<K, V>(x: Lists<K, V>, fr?: ReadFunction<number>): V;
export { randomValue as value };
/**
 * Pick an arbitrary entry.
 * @param x lists
 * @param fr random number generator ([0, 1))
 * @returns [kᵢ, vᵢ] | kᵢ ∈ x[0]; vᵢ ∈ x[1]
 */ export declare function randomEntry<K, V>(x: Lists<K, V>, fr?: ReadFunction<number>): [K, V];
export { randomEntry as entry };
/**
 * Pick an arbitrary subset.
 * @param x lists
 * @param n number of entries [-1 ⇒ any]
 * @param fr random number generator ([0, 1))
 * @returns [[kᵢ, kⱼ, ...], [vᵢ, vⱼ, ...]] | kᵢ, kⱼ, ... ∈ x[0]; vᵢ, vⱼ, ... ∈ x[1]; |[kᵢ, kⱼ, , ...]| = |x| if n<0 else n
 */ export declare function randomSubset<K, V>(x: Lists<K, V>, n?: number, fr?: ReadFunction<number>): Lists<K, V>;
export { randomSubset as subset };
/**
 * Check if lists has a key.
 * @param x lists
 * @param k search key
 * @returns k ∈ keys(x)?
 */ export declare function hasKey<K, V>(x: Lists<K, V>, k: K): boolean;
export { hasKey as has };
/**
 * Check if lists has a value.
 * @param x lists
 * @param v search value
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns v ∈ values(x)?
 */ export declare function hasValue<K, V, W = V>(x: Lists<K, V>, v: V, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): boolean;
/**
 * Check if lists has an entry.
 * @param x lists
 * @param e search entry
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns k ∈ x[0]; v ∈ x[1]; k ⇒ v? | [k, v] = e
 */ export declare function hasEntry<K, V, W = V>(x: Lists<K, V>, e: [K, V], fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): boolean;
/**
 * Check if lists has a subset.
 * @param x lists
 * @param y search subset
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns y ⊆ x?
 */ export declare function hasSubset<K, V, W = V>(x: Lists<K, V>, y: Lists<K, V>, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): boolean;
/**
 * Find first value passing a test (default order).
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns first v | ft(v) = true; [k, v] ∈ x
 */ export declare function find<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): V | undefined;
/**
 * Find values passing a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns v₀, v₁, ... | ft(vᵢ) = true; [kᵢ, vᵢ] ∈ x
 */ export declare function findAll<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): Iterable<V>;
/**
 * Finds key of an entry passing a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns key of entry
 */ export declare function search<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): K | undefined;
/**
 * Find keys of entries passing a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns keys of entries
 */ export declare function searchAll<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): Iterable<K>;
/**
 * Find a key with given value.
 * @param x lists
 * @param v search value
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns key of value
 */ export declare function searchValue<K, V, W = V>(x: Lists<K, V>, v: V, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): K | undefined;
/**
 * Find keys with given value.
 * @param x lists
 * @param v search value
 * @param fc compare function (a, b)
 * @param fm map function (v, k, x)
 * @returns keys of value
 */ export declare function searchValueAll<K, V, W = V>(x: Lists<K, V>, v: V, fc?: CompareFunction<V | W> | null, fm?: MapFunction<K, V, V | W> | null): Iterable<K>;
/**
 * Call a function for each value.
 * @param x lists
 * @param fp process function (v, k, x)
 */ export declare function forEach<K, V>(x: Lists<K, V>, fc: ProcessFunction<K, V>): void;
/**
 * Check if any value satisfies a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns true if ft(vᵢ) = true for some [kᵢ, vᵢ] ∈ x
 */ export declare function some<K, V>(x: Lists<K, V>, ft?: TestFunction<K, V> | null): boolean;
/**
 * Check if all values satisfy a test.
 * @param x entries
 * @param ft test function (v, k, x)
 * @returns true if ft(vᵢ) = true for every [kᵢ, vᵢ] ∈ x
 */ export declare function every<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): boolean;
/**
 * Transform values of entries.
 * @param x lists
 * @param fm map function (v, k, x)
 * @returns [k₀, fm(v₀)], [k₁, fm(v₁)], ... | [kᵢ, vᵢ] ∈ x
 */ export declare function map<K, V, W>(x: Lists<K, V>, fm: MapFunction<K, V, W>): Lists<K, W>;
/**
 * Reduce values of entries to a single value.
 * @param x lists
 * @param fr reduce function (acc, v, k, x)
 * @param acc initial value
 * @returns fr(fr(acc, v₀), v₁)... | fr(acc, v₀) = v₀ if acc not given
 */ export declare function reduce<K, V, W = V>(x: Lists<K, V>, fr: ReduceFunction<K, V, V | W>, acc?: V | W): V | W;
/**
 * Keep entries which pass a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns [k₀, v₀], [k₁, v₁], ... | ft(vᵢ) = true; [kᵢ, vᵢ] ∈ x
 */ export declare function filter<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): Lists<K, V>;
/**
 * Keep entries with given keys.
 * @param x lists
 * @param ks keys
 * @returns [k₀, v₀], [k₁, v₁], ... | kᵢ ∈ ks; [kᵢ, vᵢ] ∈ x
 */ export declare function filterAt<K, V>(x: Lists<K, V>, ks: K[]): Lists<K, V>;
/**
 * Discard entries which pass a test.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns [k₀, v₀], [k₁, v₁], ... | ft(vᵢ) = false; [kᵢ, vᵢ] ∈ x
 */ export declare function reject<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): Lists<K, V>;
/**
 * Discard entries with given keys.
 * @param x lists
 * @param ks keys
 * @returns [k₀, v₀], [k₁, v₁], ... | kᵢ ∉ ks; [kᵢ, vᵢ] ∈ x
 */ export declare function rejectAt<K, V>(x: Lists<K, V>, ks: K[]): Lists<K, V>;
/**
 * Flatten nested lists to given depth.
 * @param x nested lists
 * @param n maximum depth [-1 ⇒ all]
 * @param fm map function (v, k, x)
 * @param ft test function for flatten (v, k, x) [is]
 * @returns flat lists
 */ export declare function flat<K>(x: Lists<K, unknown>, n?: number, fm?: MapFunction<K, unknown, unknown> | null, ft?: TestFunction<K, unknown> | null): Lists<K, unknown>;
/**
 * Flatten nested lists, based on map function.
 * @param x nested lists
 * @param fm map function (v, k, x)
 * @param ft test function for flatten (v, k, x) [is]
 * @returns flat lists
 */ export declare function flatMap<K>(x: Lists<K, unknown>, fm?: MapFunction<K, unknown, unknown> | null, ft?: TestFunction<K, unknown> | null): Lists<K, unknown>;
/**
 * Combine matching entries from all lists.
 * @param xs all lists
 * @param fm map function (vs, k)
 * @param ft end function (dones) [some]
 * @param vd default value
 * @returns fm([x₀[k₀], x₁[k₀], ...]), fm([x₀[k₁], x₁[k₁], ...]), ...
 */ export declare function zip<K, V, W = V>(xs: Lists<K, V>[], fm?: MapFunction<K, V[], V[] | W> | null, ft?: EndFunction | null, vd?: V): Lists<K, V[] | W>;
/**
 * Segregate values by test result.
 * @param x lists
 * @param ft test function (v, k, x)
 * @returns [satisfies, doesnt]
 */ export declare function partition<K, V>(x: Lists<K, V>, ft: TestFunction<K, V>): [Lists<K, V>, Lists<K, V>];
/**
 * Segregate entries by similarity.
 * @param x entries
 * @param fm map function (v, k, x)
 * @returns Map \{key ⇒ entries\}
 */ export declare function partitionAs<K, V, W = V>(x: Lists<K, V>, fm?: MapFunction<K, V, V | W> | null): Map<V | W, Lists<K, V>>;
/**
 * Break lists into chunks of given size.
 * @param x lists
 * @param n chunk size [1]
 * @param s chunk step [n]
 * @returns [x[0..n], x[s..s+n], x[2s..2s+n], ...]
 */ export declare function chunk<K, V>(x: Lists<K, V>, n?: number, s?: number): Lists<K, V>[];
/**
 * Append entries from all lists, preferring last.
 * @param xs all lists
 * @returns x₀ ∪ x₁ ∪ ... | [x₀, x₁, ...] = xs
 */ export declare function concat<K, V>(...xs: Lists<K, V>[]): Lists<K, V>;
/**
 * Join lists together into a string.
 * @param x lists
 * @param sep separator [,]
 * @param asc associator [=]
 * @returns "$\{k₀\}=$\{v₀\},$\{k₁\}=$\{v₁\}..." | [kᵢ, vᵢ] ∈ x
 */ export declare function join<K, V>(x: Lists<K, V>, sep?: string, asc?: string): string;
/**
 * Check if lists have no common keys.
 * @param x lists
 * @param y another lists
 * @returns x ∩ y = Φ?
 */ export declare function isDisjoint<K, V>(x: Lists<K, V>, y: Lists<K, V>): boolean;
/**
 * Obtain keys present in any lists.
 * @param xs all lists
 * @returns \{k₀, k₁, ...\} | [kᵢ, vᵢ] ∈ x₀ ∪ x₁, ...; [x₀, x₁, ...] = xs
 */ export declare function unionKeys<K, V>(...xs: Lists<K, V>[]): Set<K>;
/**
 * Obtain entries present in any lists.
 * @param x lists
 * @param y another lists
 * @param fc combine function (a, b)
 * @returns x ∪ y = \{[kᵢ, vᵢ] | [kᵢ, vᵢ] ∈ x or [kᵢ, vᵢ] ∈ y\}
 */ export declare function union<K, V>(x: Lists<K, V>, y: Lists<K, V>, fc?: CombineFunction<V> | null): Lists<K, V>;
/**
 * Obtain entries present in both lists.
 * @param x lists
 * @param y another lists
 * @param fc combine function (a, b)
 * @returns x ∩ y = \{[kᵢ, vᵢ] | [kᵢ, vᵢ] ∈ x and [kᵢ, vᵢ] ∈ y\}
 */ export declare function intersection<K, V>(x: Lists<K, V>, y: Lists<K, V>, fc?: CombineFunction<V> | null): Lists<K, V>;
/**
 * Obtain entries not present in another lists.
 * @param x lists
 * @param y another lists
 * @returns x = x - y = \{[kᵢ, vᵢ] | [kᵢ, vᵢ] ∈ x, [kᵢ, *] ∉ y\}
 */ export declare function difference<K, V>(x: Lists<K, V>, y: Lists<K, V>): Lists<K, V>;
/**
 * Obtain entries not present in both lists.
 * @param x lists
 * @param y another lists
 * @returns x = x-y ∪ y-x
 */ export declare function symmetricDifference<K, V>(x: Lists<K, V>, y: Lists<K, V>): Lists<K, V>;