import { Complex } from './type.js'
import {FnEqual} from '../interfaces/relational'
import {FnAdd, FnIsReal, FnIsSquare} from '../interfaces/arithmetic'

export const isReal =
   <T>(dep: {
      equal: FnEqual<T>,
      add: FnAdd<T>,
      isReal: FnIsReal<T>
   }): FnIsReal<Complex<T>> =>
      (z) => dep.isReal(z.re) && dep.equal(z.re, dep.add(z.re, z.im))

export const isSquare =
   <T>(): FnIsSquare<Complex<T>> => (z) => true // FIXME: not correct for Complex<bigint> once we get there