swift-complex

Complex numbers in Swift.

Prerequisite

Swift 2.0 or better. For Swift 1.x and below see the swift-1.x branch (which is no longer maintained).

Usage

in your project:

Just add complex/complex.swift to it.

via command line:

git clone https://github.com/dankogai/swift-complex.git
cd swift-complex/complex
xcrun -sdk macosx swiftc *.swift && ./main

Synopsis

let z0 = 1 + 1.i
let z1 = 1 - 1.i
println(z0 * z1)            // (2.0+0.0.i)
println(z0 * z1 == z0 + z1) // true
println(z0 * z1 == 2)       // true

Description

complex.swift implements all the functionality of std::complex in c++11, arguably more intuitively.

Difference from C++11

• Instead of defining the constant i, Double and Complex have a property .i which returns self * Complex(0,1) so it does not pollute the identifier i, too popularly used for iteration to make it a constant.
• Following functions are also provided as properties:
  • z.real for real(z)
  • z.imag for imag(z)
  • z.abs for abs(z)
  • z.arg for arg(z)
  • z.norm for norm(z)
  • z.conj for conj(z)
  • z.proj for proj(z)
• Construct a complex number via polar notation as:
  • Complex(abs:magnitude, arg:argument)
• In addition to pow(), it comes with the ** operator
• Generic! (as of version 0.3.0)
  • Complex numbers are Complex<T> where T is a type of .re and .im that conforms to the RealType protocol. See the source to find what RealType is doing.