typocomath/src/Complex/predicate.ts

22 lines
684 B
TypeScript

import {Complex} from './type.js'
import {Dependency, ImpType} from '../core/Dispatcher.js'
type ComplexPredicate<T> = T extends Complex<any> ? (a: T) => boolean : never
declare module "./type" {
interface ComplexImpTypes<T> {
isReal: ComplexPredicate<T>
isSquare: ComplexPredicate<T>
}
}
export const isReal =
<T>(dep: Dependency<'equal', [T,T]>
& Dependency<'add', [T,T]>
& Dependency<'isReal', [T]>
): ImpType<'isReal', [Complex<T>]> =>
z => dep.isReal(z.re) && dep.equal(z.re, dep.add(z.re, z.im))
export const isSquare: ImpType<'isSquare', [Complex<any>]> =
z => true // FIXME: not correct for Complex<bigint> once we get there