/**
 * @since 2.0.0
 */
import { HKT, Kind, Kind2, Kind3, Kind4, URIS, URIS2, URIS3, URIS4 } from './HKT'
/**
 * @category model
 * @since 2.0.0
 */
export interface Invariant<F> {
  readonly URI: F
  readonly imap: <A, B>(fa: HKT<F, A>, f: (a: A) => B, g: (b: B) => A) => HKT<F, B>
}
/**
 * @category model
 * @since 2.0.0
 */
export interface Invariant1<F extends URIS> {
  readonly URI: F
  readonly imap: <A, B>(fa: Kind<F, A>, f: (a: A) => B, g: (b: B) => A) => Kind<F, B>
}
/**
 * @category model
 * @since 2.0.0
 */
export interface Invariant2<F extends URIS2> {
  readonly URI: F
  readonly imap: <E, A, B>(fa: Kind2<F, E, A>, f: (a: A) => B, g: (b: B) => A) => Kind2<F, E, B>
}
/**
 * @category model
 * @since 2.0.0
 */
export interface Invariant2C<F extends URIS2, E> {
  readonly URI: F
  readonly _E: E
  readonly imap: <A, B>(fa: Kind2<F, E, A>, f: (a: A) => B, g: (b: B) => A) => Kind2<F, E, B>
}
/**
 * @category model
 * @since 2.0.0
 */
export interface Invariant3<F extends URIS3> {
  readonly URI: F
  readonly imap: <R, E, A, B>(fa: Kind3<F, R, E, A>, f: (a: A) => B, g: (b: B) => A) => Kind3<F, R, E, B>
}
/**
 * @category model
 * @since 2.4.2
 */
export interface Invariant3C<F extends URIS3, E> {
  readonly URI: F
  readonly _E: E
  readonly imap: <R, A, B>(fa: Kind3<F, R, E, A>, f: (a: A) => B, g: (b: B) => A) => Kind3<F, R, E, B>
}
/**
 * @category model
 * @since 2.4.2
 */
export interface Invariant4<F extends URIS4> {
  readonly URI: F
  readonly imap: <S, R, E, A, B>(fa: Kind4<F, S, R, E, A>, f: (a: A) => B, g: (b: B) => A) => Kind4<F, S, R, E, B>
}