NeinMath 1.5.1

.NET Standard 2.0 This package targets .NET Standard 2.0. The package is compatible with this framework or higher. .NET Framework 4.0 This package targets .NET Framework 4.0. The package is compatible with this framework or higher. 
dotnet add package NeinMath --version 1.5.1
                    


                    

                
NuGet\Install-Package NeinMath -Version 1.5.1
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="NeinMath" Version="1.5.1" />
For projects that support PackageReference, copy this XML node into the project file to reference the package. 
<PackageVersion Include="NeinMath" Version="1.5.1" />
                    


                            Directory.Packages.props
                        

                    

                
<PackageReference Include="NeinMath" />
                    


                            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 NeinMath --version 1.5.1
                    


                    

                
#r "nuget: NeinMath, 1.5.1"
#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. 
#addin nuget:?package=NeinMath&version=1.5.1
                    


                            Install as a Cake Addin
                        

                    

                
#tool nuget:?package=NeinMath&version=1.5.1
                    


                            Install as a Cake Tool

NeinMath

Latest package Download tracker GitHub status Code coverage

NeinMath is playing around with arbitrary precision integers, written in pure managed code, not using any unsafe stuff, and a bit faster than the build-in .NET type for integers with a few thousand bits.

To install NeinMath, run the following command in the NuGet Package Manager Console.

PM> Install-Package NeinMath

It's generally based on the integer implementation of this work, but rewritten to not use pointer arithmetic and other fancy things. Thus, it's a bit slower albeit portable.

Note: starting with the new .NET Core this project becomes a bit obsolete, because the performance gains disappear since some improvements have been contributed. 🎉

Performance

Let's start with a simple comparison (time per 100 operations).

Operation Length (bits) BigInteger (.NET) Integer (NeinMath)
log 4,194,304 1306 ms 0 ms
add (+) 4,194,304 40 ms 17 ms
sub (-) 4,194,304 43 ms 18 ms
mul (*) 65,536 980 ms 116 ms
squ (^2) 65,536 980 ms 82 ms
div (/) 65,536 555 ms 231 ms
mod (%) 65,536 555 ms 231 ms
gcd 65,536 730 ms 532 ms
modinv 65,536 N/A 1,412 ms
modpow 16,384 5,124,600 ms 652,900 ms

Note: ensure you're running a 64-bit process. Handling this with just 32-bits is a huge impediment for both, BigInteger and Integer.

Note: these results are from "my machine". A basic (very basic) benchmark utility is included to verify / disprove them.

Integers

Like BigInteger a structure Integer provides all the operators you would expect from an integer, so it should be quite compatible to existing .NET code. In fact, there are tests based on BigInteger to ensure it computes correctly most of the time.

To get an idea, this is an example for calculating the Greatest Common Divisor:

Integer Gcd(Integer left, Integer right)
{
    var a = left.Abs();
    var b = right.Abs();

    while (b != 0)
    {
        var c = a % b;
        a = b;
        b = c;
    }

    return a;
}

Note: calling left.Gcd(right) is much faster, since the internal implementation is based on a more sophisticated algorithm.

Rationals

Coming sometime... maybe... who knows?

Product Compatible and additional computed target framework versions.
.NET net5.0 was computed.  net5.0-windows was computed.  net6.0 was computed.  net6.0-android was computed.  net6.0-ios was computed.  net6.0-maccatalyst was computed.  net6.0-macos was computed.  net6.0-tvos was computed.  net6.0-windows was computed.  net7.0 was computed.  net7.0-android was computed.  net7.0-ios was computed.  net7.0-maccatalyst was computed.  net7.0-macos was computed.  net7.0-tvos was computed.  net7.0-windows was computed.  net8.0 was computed.  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. 
.NET Core netcoreapp2.0 was computed.  netcoreapp2.1 was computed.  netcoreapp2.2 was computed.  netcoreapp3.0 was computed.  netcoreapp3.1 was computed. 
.NET Standard netstandard2.0 is compatible.  netstandard2.1 was computed. 
.NET Framework net40 is compatible.  net403 was computed.  net45 was computed.  net451 was computed.  net452 was computed.  net46 was computed.  net461 was computed.  net462 was computed.  net463 was computed.  net47 was computed.  net471 was computed.  net472 was computed.  net48 was computed.  net481 was computed. 
MonoAndroid monoandroid was computed. 
MonoMac monomac was computed. 
MonoTouch monotouch was computed. 
Tizen tizen40 was computed.  tizen60 was computed. 
Xamarin.iOS xamarinios was computed. 
Xamarin.Mac xamarinmac was computed. 
Xamarin.TVOS xamarintvos was computed. 
Xamarin.WatchOS xamarinwatchos was computed. 
Compatible target framework(s)
Included target framework(s) (in package)
Learn more about Target Frameworks and .NET Standard.

  • .NETFramework 4.0

    • No dependencies.

  • .NETStandard 2.0

    • No dependencies.

NuGet packages (1)

Showing the top 1 NuGet packages that depend on NeinMath:

Package Downloads
PoseidonSharp

This is a Poseidon Hashing Library built for use with Loopring

GitHub repositories

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Version Downloads Last Updated
1.5.1 1,035 1/7/2023
1.5.0 377 11/11/2022
1.4.0 494 11/8/2021
1.3.1 1,002 2/15/2019
1.3.0 1,126 9/12/2018
1.2.0 1,337 6/28/2018
1.1.1 1,415 1/4/2018
1.1.0 1,336 6/11/2017
1.0.1 1,961 6/28/2016
1.0.0 1,517 5/19/2016
0.2.5 1,744 12/6/2015
0.2.4 1,632 11/21/2015
0.2.3 1,616 9/13/2015
0.2.2 1,540 8/16/2015
0.2.1 1,454 4/11/2015
0.2.0 1,368 4/7/2015
0.1.1 1,393 4/1/2015
0.1.0 1,414 3/27/2015

Added current README.md to package contents.