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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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public struct Complex {
public let real : Double
public let imaginary : Double
public init(real inReal:Double, imaginary inImaginary:Double) {
real = inReal
imaginary = inImaginary
}
public static var i : Complex = Complex(real:0, imaginary: 1)
public static var zero : Complex = Complex(real: 0, imaginary: 0)
public var negate : Complex {
return Complex(real: -real, imaginary: -imaginary)
}
public var invert : Complex {
let d = (real*real + imaginary*imaginary)
return Complex(real: real/d, imaginary: -imaginary/d)
}
public var conjugate : Complex {
return Complex(real: real, imaginary: -imaginary)
}
}
public func + (left: Complex, right: Complex) -> Complex {
return Complex(real: left.real+right.real, imaginary: left.imaginary+right.imaginary)
}
public func * (left: Complex, right: Complex) -> Complex {
return Complex(real: left.real*right.real - left.imaginary*right.imaginary,
imaginary: left.real*right.imaginary+left.imaginary*right.real)
}
public prefix func - (right:Complex) -> Complex {
return right.negate
}
// Checking equality is almost necessary for a struct of this type to be useful
extension Complex : Equatable {}
public func == (left:Complex, right:Complex) -> Bool {
return left.real == right.real && left.imaginary == right.imaginary
}

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extension Complex : CustomStringConvertible {
public var description : String {
guard real != 0 || imaginary != 0 else { return "0" }
let rs : String = real != 0 ? "\(real)" : ""
let iS : String
let sign : String
let iSpace = real != 0 ? " " : ""
switch imaginary {
case let i where i < 0:
sign = "-"
iS = i == -1 ? "i" : "\(-i)i"
case let i where i > 0:
sign = real != 0 ? "+" : ""
iS = i == 1 ? "i" : "\(i)i"
default:
sign = ""
iS = ""
}
return "\(rs)\(iSpace)\(sign)\(iSpace)\(iS)"
}
}

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public func - (left:Complex, right:Complex) -> Complex {
return left + -right
}
public func / (divident:Complex, divisor:Complex) -> Complex {
let rc = divisor.conjugate
let num = divident * rc
let den = divisor * rc
return Complex(real: num.real/den.real, imaginary: num.imaginary/den.real)
}