import type {Complex} from '../Complex/type.js'
import type {RealType} from './type.js'

declare module "./type" {
   interface Signatures<T> {
      add:              (a: T, b: T) => T
      unaryMinus:       (a: T) => T
      conj:             (a: T) => T
      subtract:         (a: T, b: T) => T
      multiply:         (a: T, b: T) => T
      square:           (a: T) => T
      absquare:         (a: T) => RealType<T>
      reciprocal:       (a: T) => T
      divide:           (a: T, b: T) => T
      conservativeSqrt: (a: T) => T
      sqrt: (a: T)=> T extends Complex<unknown> ? T : T | Complex<T>
   }
}