Hawkynt.RandomNumberGenerators 1.0.0.44

dotnet add package Hawkynt.RandomNumberGenerators --version 1.0.0.44
                    
NuGet\Install-Package Hawkynt.RandomNumberGenerators -Version 1.0.0.44
                    
This command is intended to be used within the Package Manager Console in Visual Studio, as it uses the NuGet module's version of Install-Package.
<PackageReference Include="Hawkynt.RandomNumberGenerators" Version="1.0.0.44" />
                    
For projects that support PackageReference, copy this XML node into the project file to reference the package.
<PackageVersion Include="Hawkynt.RandomNumberGenerators" Version="1.0.0.44" />
                    
Directory.Packages.props
<PackageReference Include="Hawkynt.RandomNumberGenerators" />
                    
Project file
For projects that support Central Package Management (CPM), copy this XML node into the solution Directory.Packages.props file to version the package.
paket add Hawkynt.RandomNumberGenerators --version 1.0.0.44
                    
#r "nuget: Hawkynt.RandomNumberGenerators, 1.0.0.44"
                    
#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.
#:package Hawkynt.RandomNumberGenerators@1.0.0.44
                    
#:package directive can be used in C# file-based apps starting in .NET 10 preview 4. Copy this into a .cs file before any lines of code to reference the package.
#addin nuget:?package=Hawkynt.RandomNumberGenerators&version=1.0.0.44
                    
Install as a Cake Addin
#tool nuget:?package=Hawkynt.RandomNumberGenerators&version=1.0.0.44
                    
Install as a Cake Tool

Hawkynt.RandomNumberGenerators

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A comprehensive C# library of random number generators — algorithms across pseudo-random, cryptographically secure, quasi-random and non-uniform distributions, all behind a single IRandomNumberGenerator interface plus an ArbitraryNumberGenerator helper that exposes ergonomic methods on top of any generator.

The long-form article that motivates and explains every algorithm in this package lives at Randomizer.

Install

dotnet add package Hawkynt.RandomNumberGenerators

Target framework: net8.0. The package is AOT-compatible and trimmable.

Namespaces

Namespace Contains
Hawkynt.RandomNumberGenerators.Deterministic Fast PRNGs: Xoshiro family (256SS/+, 128**/++/+, 512**/++/+), Xoroshiro128++/+, PCG (RXS-M-XS, XSL-RR, XSH-RR), Mersenne Twister, TinyMT, WELL, RomuTrio/Quad/Duo/DuoJr, JSF64, Lehmer128, LXM, SplitMix64, Philox, Threefry, Squares, sfc64, MRG32k3a, WyRand, SHISHUA, LCG, MLCG, XorShift family, Wichmann-Hill, ACORN, LFG, KISS, ICG, LFSR, FCSR, MWC, CMWC, SWB, MixMax, Middle Square (and MSWS), Rule 30
Hawkynt.RandomNumberGenerators.Cryptographic CSPRNGs: ChaCha20/12/8, Salsa20/12/8, AES-CTR DRBG, HMAC-SHA256 DRBG, Hash DRBG (SHA-256), Ascon-PRF, ISAAC-64, Trivium, Blum-Blum-Shub, Blum-Micali, Self-Shrinking Generator, Yarrow, Fortuna, ANSI X9.31
Hawkynt.RandomNumberGenerators.QuasiRandom Low-discrepancy sequences for Monte Carlo integration: Halton, Sobol
Hawkynt.RandomNumberGenerators.NonUniform Distribution samplers: BoxMuller, MarsagliaPolar, Ziggurat, InverseTransformSampling (Exponential), Poisson, Gamma, Beta, Bernoulli, Binomial, Geometric, ChiSquared, Cauchy, Lognormal, Weibull, Triangular, Pareto, DiscreteUniform, Categorical, Hypergeometric, StudentT, NegativeBinomial
Hawkynt.RandomNumberGenerators.Composites ArbitraryNumberGenerator — wraps any generator and exposes NextDouble, NextRange, NextBoolean, Shuffle, Choice, Sample, NextBytes, NextGuid, …
Hawkynt.RandomNumberGenerators.Interfaces IRandomNumberGenerator (the core 64-bit interface), IDoubleRandomNumberGenerator, CombinationMode enum

The core interface

Every PRNG, CSPRNG and quasi-random sequence in the package implements:

public interface IRandomNumberGenerator {
  void Seed(ulong seed);
  ulong Next();
}

Seed sets the initial state; calling Seed again is allowed and will restart the sequence. Next returns a uniformly distributed 64-bit value (for PRNG/CSPRNG) or the next element of the sequence (for quasi-random).

Quick examples

1. Pick a generator, produce raw 64-bit values

using Hawkynt.RandomNumberGenerators.Deterministic;

var rng = new Xoshiro256SS();
rng.Seed(42);
ulong a = rng.Next();
ulong b = rng.Next();

2. Use the high-level helpers

using Hawkynt.RandomNumberGenerators.Composites;
using Hawkynt.RandomNumberGenerators.Deterministic;

var rng = new ArbitraryNumberGenerator(new Xoshiro256SS());
rng.Seed(42);

double d    = rng.NextDouble();            // uniform [0, 1)
ulong  r    = rng.NextRange(1, 100);       // uniform [1, 100)
bool   flip = rng.NextBoolean(0.7);        // true with probability 0.7
int    sign = rng.NextSign();              // -1 or +1
float  f    = rng.NextSingle();            // uniform [0, 1f)

byte[] buffer = new byte[32];
rng.NextBytes(buffer);                     // fill the span
Guid g = rng.NextGuid();                   // RFC 4122 v4

var deck = Enumerable.Range(1, 52).ToArray();
rng.Shuffle(deck);                         // Fisher-Yates, in place
int card  = rng.Choice(deck);              // one random element
int[] hand = rng.Sample(deck, 5);          // 5 distinct elements (reservoir)

3. Sample from non-uniform distributions

using Hawkynt.RandomNumberGenerators.NonUniform;

var u = new ArbitraryNumberGenerator(new Xoshiro256SS());
u.Seed(42);

var normal = new MarsagliaPolar(u);
var (z0, z1) = normal.Next();              // two independent N(0, 1)

var requests = new Poisson(u, lambda: 4.2);
int arrivals = requests.Next();            // discrete count

var price = new Lognormal(u, mu: 0, sigma: 0.3);
double next = price.Next();                // strictly positive

// Weighted choice from a list
var loot = new Categorical<string>(u, new[] {
  ("Common", 70.0), ("Rare", 25.0), ("Legendary", 5.0)
});
string drop = loot.Next();

4. Cryptographic use

For anything security-sensitive (session IDs, password salts, key generation) use a CSPRNG from the Cryptographic namespace, not a PRNG. They are slower but designed to resist state recovery.

using Hawkynt.RandomNumberGenerators.Cryptographic;

using var csprng = new AesCtrDrbg();        // implements IDisposable
csprng.Seed(GetEntropyFromOsOrHsm());
ulong sessionId = csprng.Next();

None of the generators in this package are thread-safe. Create one instance per thread, or guard access with a lock. The Cryptographic generators implement IDisposable because they hold underlying Aes / SHA256 resources — wrap them in using statements.

Choosing an algorithm

Need Recommended
General-purpose, modern default Xoshiro256SS
Fastest general-purpose (BMI2 platforms) Lehmer128
Parallel / GPU workloads Philox or Threefry
Very large period needed MersenneTwister or WellEquidistributedLongperiodLinear
Tiny state, embedded JenkinsSmallFast or Squares
System.Random-compatible output (.NET 6+) Xoshiro256Plus
Cryptographic ChaCha20 or AesCtrDrbg
Monte Carlo integration Halton or Sobol (run as quasi-Monte-Carlo)
Educational comparison only LinearCongruentialGenerator, MiddleSquare, ...

The full comparison table with state sizes, periods, speed and quality classes is in the main article.

License

LGPL-3.0-or-later. See the LICENSE file.

Contributing

Issues and pull requests welcome at Randomizer.

Product Compatible and additional computed target framework versions.
.NET net8.0 is compatible.  net8.0-android was computed.  net8.0-browser was computed.  net8.0-ios was computed.  net8.0-maccatalyst was computed.  net8.0-macos was computed.  net8.0-tvos was computed.  net8.0-windows was computed.  net9.0 was computed.  net9.0-android was computed.  net9.0-browser was computed.  net9.0-ios was computed.  net9.0-maccatalyst was computed.  net9.0-macos was computed.  net9.0-tvos was computed.  net9.0-windows was computed.  net10.0 was computed.  net10.0-android was computed.  net10.0-browser was computed.  net10.0-ios was computed.  net10.0-maccatalyst was computed.  net10.0-macos was computed.  net10.0-tvos was computed.  net10.0-windows was computed. 
Compatible target framework(s)
Included target framework(s) (in package)
Learn more about Target Frameworks and .NET Standard.

NuGet packages

This package is not used by any NuGet packages.

GitHub repositories

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Version Downloads Last Updated
1.0.0.44 0 6/2/2026
1.0.0.38 192 12/30/2024
1.0.0.37 167 10/28/2024
1.0.0.34 180 9/30/2024
1.0.0.31 164 9/23/2024
1.0.0.30 206 9/16/2024
1.0.0.28 167 9/9/2024
1.0.0.22 177 9/2/2024
1.0.0.20 193 9/1/2024