Complex+AdditiveArithmetic.swift

//===--- Complex+AdditiveArithmetic.swift ---------------------*- swift -*-===//
//
// This source file is part of the Swift Numerics open source project
//
// Copyright (c) 2019-2021 Apple Inc. and the Swift Numerics project authors
// Licensed under Apache License v2.0 with Runtime Library Exception
//
// See https://swift.org/LICENSE.txt for license information
//
//===----------------------------------------------------------------------===//

import RealModule

extension Complex: AdditiveArithmetic {
  /// The additive identity, with real and imaginary parts both zero.
  ///
  /// See also: `one`, `i`, `infinity`
  @_transparent
  public static var zero: Complex {
    Complex(0, 0)
  }
  
  @_transparent
  public static func +(z: Complex, w: Complex) -> Complex {
    return Complex(z.x + w.x, z.y + w.y)
  }
  
  @_transparent
  public static func -(z: Complex, w: Complex) -> Complex {
    return Complex(z.x - w.x, z.y - w.y)
  }
  
  @_transparent
  public static func +=(z: inout Complex, w: Complex) {
    z = z + w
  }
  
  @_transparent
  public static func -=(z: inout Complex, w: Complex) {
    z = z - w
  }
}