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Swift code to use Marsaglia's method to generate a stream of standard normal random variables
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// | |
// Marsaglia.swift | |
// | |
// Created by Michael Rockhold on 2/16/19. | |
// Copyright © 2019 Michael Rockhold. All rights reserved. | |
// | |
import Foundation | |
struct Marsaglia { | |
let mean: Double | |
let stdDev: Double | |
var spare: Double? = nil | |
var u: Double = 0 | |
var v: Double = 0 | |
var s: Double = 0 | |
init(mean m:Double, stdDev d:Double) { | |
mean = m; stdDev = d | |
} | |
mutating func generateGaussianNoise() -> Double { | |
let drandmax = 1.0 | |
func r() -> Double { return Double.random(in: (-1.0...1.0)) } | |
if let sp = spare { | |
spare = nil | |
return mean + stdDev * sp | |
} | |
repeat { | |
u = r() / drandmax * 2.0 - 1.0 | |
v = r() / drandmax * 2.0 - 1.0 | |
s = u * u + v * v | |
} while s >= 1.0 || s == 0.0 | |
s = sqrt(-2.0 * log(s) / s) | |
spare = v * s | |
return mean + stdDev * u * s | |
} | |
} |
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Call this like this:
var m = Marsaglia(mean:0.0, stdDev:1.0)
for _ in (0..<1000) {
print(m.generateGaussianNoise())
}