GFSR Class

public sealed class GFSR : RandomSource<ScalarGenerator32<GfsrEngine>>, 
	IRandomSourceFactory<GFSR>

Public NotInheritable Class GFSR
	Inherits RandomSource(Of ScalarGenerator32(Of GfsrEngine))
	Implements IRandomSourceFactory(Of GFSR)

public ref class GFSR sealed : public RandomSource<ScalarGenerator32<GfsrEngine>>, 
	IRandomSourceFactory<GFSR^>

[<SealedAttribute>]
type GFSR = 
    class
        inherit RandomSource<ScalarGenerator32<GfsrEngine>>
        interface IRandomSourceFactory<GFSR>
    end

Inheritance

Object  →  RandomSource<ScalarGenerator32<GfsrEngine>>  →  GFSR

Implements

IRandomSourceFactory<GFSR>

Use the GFSR class to represent a pseudo-random number generator that uses a fourth-order generalized feedback shift register algorithm.

This generator has a very long period of 2⁹⁶⁸⁹ - 1. Thanks to its simplicity, generation is very fast. However, initialization is slow due to the large state size (64 KB).

GFSR generators are linear and fail many modern statistical tests. They are provided primarily for legacy compatibility and historical reproducibility.

For new applications, strongly consider using modern generators like Pcg64, Xoshiro256StarStar, or Xoshiro256Plus which offer far better statistical quality, much smaller state, and similar or better performance.

Reference: Robert M. Ziff. "Four-tap shift-register-sequence random-number generators." Computers in Physics 12(4), Jul/Aug 1998, pp 385-392.

Reference