import { apFirst as apFirst_, apS as apS_, apSecond as apSecond_ } from './Apply';
import { bind as bind_, chainFirst as chainFirst_ } from './Chain';
import { tailRec } from './ChainRec';
import { identity as id, pipe } from './function';
import { let as let__, bindTo as bindTo_, flap as flap_ } from './Functor';
import * as _ from './internal';
var _map = function (fa, f) { return pipe(fa, map(f)); };
var _ap = function (fab, fa) { return pipe(fab, ap(fa)); };
var _chain = function (ma, f) { return pipe(ma, chain(f)); };
/* istanbul ignore next */
var _reduce = function (fa, b, f) { return pipe(fa, reduce(b, f)); };
/* istanbul ignore next */
var _foldMap = function (M) { return function (fa, f) { return pipe(fa, foldMap(M)(f)); }; };
/* istanbul ignore next */
var _reduceRight = function (fa, b, f) { return pipe(fa, reduceRight(b, f)); };
/* istanbul ignore next */
var _alt = function (fa, that) { return pipe(fa, alt(that)); };
/* istanbul ignore next */
var _extend = function (wa, f) { return pipe(wa, extend(f)); };
/* istanbul ignore next */
var _traverse = function (F) {
    var traverseF = traverse(F);
    return function (ta, f) { return pipe(ta, traverseF(f)); };
};
var _chainRec = tailRec;
/**
 * `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 var map = function (f) { return function (fa) { return f(fa); }; };
/**
 * @since 2.0.0
 */
export var ap = function (fa) { return function (fab) { return fab(fa); }; };
/**
 * @category constructors
 * @since 2.0.0
 */
export var of = id;
/**
 * Composes computations in sequence, using the return value of one computation to determine the next computation.
 *
 * @category sequencing
 * @since 2.0.0
 */
export var chain = function (f) { return function (ma) { return f(ma); }; };
/**
 * @since 2.0.0
 */
export var extend = function (f) { return function (wa) { return f(wa); }; };
/**
 * @category Extract
 * @since 2.6.2
 */
export var extract = id;
/**
 * @since 2.0.0
 */
export var duplicate = /*#__PURE__*/ extend(id);
/**
 * @category sequencing
 * @since 2.0.0
 */
export var flatten = /*#__PURE__*/ chain(id);
/**
 * @category folding
 * @since 2.0.0
 */
export var reduce = function (b, f) { return function (fa) { return f(b, fa); }; };
/**
 * @category folding
 * @since 2.0.0
 */
export var foldMap = function () { return function (f) { return function (fa) { return f(fa); }; }; };
/**
 * @category folding
 * @since 2.0.0
 */
export var reduceRight = function (b, f) { return function (fa) { return f(fa, b); }; };
/**
 * @category traversing
 * @since 2.6.3
 */
export var traverse = function (F) {
    return function (f) {
        return function (ta) {
            return F.map(f(ta), id);
        };
    };
};
/**
 * @category traversing
 * @since 2.6.3
 */
export var sequence = function (F) {
    return function (ta) {
        return F.map(ta, id);
    };
};
/**
 * Less strict version of [`alt`](#alt).
 *
 * The `W` suffix (short for **W**idening) means that the return types will be merged.
 *
 * @category error handling
 * @since 2.9.0
 */
export var altW = function () { return id; };
/**
 * Identifies an associative operation on a type constructor. It is similar to `Semigroup`, except that it applies to
 * types of kind `* -> *`.
 *
 * @category error handling
 * @since 2.0.0
 */
export var alt = altW;
/**
 * @category type lambdas
 * @since 2.0.0
 */
export var URI = 'Identity';
/**
 * @category instances
 * @since 2.0.0
 */
export var getShow = id;
/**
 * @category instances
 * @since 2.0.0
 */
export var getEq = id;
/**
 * @category instances
 * @since 2.7.0
 */
export var Functor = {
    URI: URI,
    map: _map
};
/**
 * @category mapping
 * @since 2.10.0
 */
export var flap = /*#__PURE__*/ flap_(Functor);
/**
 * @category instances
 * @since 2.10.0
 */
export var Pointed = {
    URI: URI,
    of: of
};
/**
 * @category instances
 * @since 2.10.0
 */
export var Apply = {
    URI: URI,
    map: _map,
    ap: _ap
};
/**
 * Combine two effectful actions, keeping only the result of the first.
 *
 * @since 2.0.0
 */
export var apFirst = /*#__PURE__*/ apFirst_(Apply);
/**
 * Combine two effectful actions, keeping only the result of the second.
 *
 * @since 2.0.0
 */
export var apSecond = /*#__PURE__*/ apSecond_(Apply);
/**
 * @category instances
 * @since 2.7.0
 */
export var Applicative = {
    URI: URI,
    map: _map,
    ap: _ap,
    of: of
};
/**
 * @category instances
 * @since 2.10.0
 */
export var Chain = {
    URI: URI,
    map: _map,
    ap: _ap,
    chain: _chain
};
/**
 * @category instances
 * @since 2.7.0
 */
export var Monad = {
    URI: URI,
    map: _map,
    ap: _ap,
    of: of,
    chain: _chain
};
/**
 * Composes computations in sequence, using the return value of one computation to determine the next computation and
 * keeping only the result of the first.
 *
 * @category sequencing
 * @since 2.0.0
 */
export var chainFirst = /*#__PURE__*/ chainFirst_(Chain);
/**
 * @category instances
 * @since 2.7.0
 */
export var Foldable = {
    URI: URI,
    reduce: _reduce,
    foldMap: _foldMap,
    reduceRight: _reduceRight
};
/**
 * @category instances
 * @since 2.7.0
 */
export var Traversable = {
    URI: URI,
    map: _map,
    reduce: _reduce,
    foldMap: _foldMap,
    reduceRight: _reduceRight,
    traverse: _traverse,
    sequence: sequence
};
/**
 * @category instances
 * @since 2.7.0
 */
export var Alt = {
    URI: URI,
    map: _map,
    alt: _alt
};
/**
 * @category instances
 * @since 2.7.0
 */
export var Comonad = {
    URI: URI,
    map: _map,
    extend: _extend,
    extract: extract
};
/**
 * @category instances
 * @since 2.7.0
 */
export var ChainRec = {
    URI: URI,
    map: _map,
    ap: _ap,
    chain: _chain,
    chainRec: _chainRec
};
// -------------------------------------------------------------------------------------
// do notation
// -------------------------------------------------------------------------------------
/**
 * @category do notation
 * @since 2.9.0
 */
export var Do = /*#__PURE__*/ of(_.emptyRecord);
/**
 * @category do notation
 * @since 2.8.0
 */
export var bindTo = /*#__PURE__*/ bindTo_(Functor);
var let_ = /*#__PURE__*/ let__(Functor);
export { 
/**
 * @category do notation
 * @since 2.13.0
 */
let_ as let };
/**
 * @category do notation
 * @since 2.8.0
 */
export var bind = /*#__PURE__*/ bind_(Chain);
/**
 * @category do notation
 * @since 2.8.0
 */
export var apS = /*#__PURE__*/ apS_(Apply);
// -------------------------------------------------------------------------------------
// deprecated
// -------------------------------------------------------------------------------------
/**
 * This instance is deprecated, use small, specific instances instead.
 * For example if a function needs a `Functor` instance, pass `I.Functor` instead of `I.identity`
 * (where `I` is from `import I from 'fp-ts/Identity'`)
 *
 * @category zone of death
 * @since 2.0.0
 * @deprecated
 */
export var identity = {
    URI: URI,
    map: _map,
    ap: _ap,
    of: of,
    chain: _chain,
    reduce: _reduce,
    foldMap: _foldMap,
    reduceRight: _reduceRight,
    traverse: _traverse,
    sequence: sequence,
    alt: _alt,
    extract: extract,
    extend: _extend,
    chainRec: _chainRec
};