MathFoundations.Abstractions 0.1.1

.NET Standard 2.0 This package targets .NET Standard 2.0. The package is compatible with this framework or higher. 
dotnet add package MathFoundations.Abstractions --version 0.1.1
                    


                    

                
NuGet\Install-Package MathFoundations.Abstractions -Version 0.1.1
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="MathFoundations.Abstractions" Version="0.1.1" />
For projects that support PackageReference, copy this XML node into the project file to reference the package. 
<PackageVersion Include="MathFoundations.Abstractions" Version="0.1.1" />
                    


                            Directory.Packages.props
                        

                    

                
<PackageReference Include="MathFoundations.Abstractions" />
                    


                            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 MathFoundations.Abstractions --version 0.1.1
                    


                    

                
#r "nuget: MathFoundations.Abstractions, 0.1.1"
#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. 
#:package MathFoundations.Abstractions@0.1.1
#: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=MathFoundations.Abstractions&version=0.1.1
                    


                            Install as a Cake Addin
                        

                    

                
#tool nuget:?package=MathFoundations.Abstractions&version=0.1.1
                    


                            Install as a Cake Tool

Math Foundations

Generic math abstractions and algorithms for .NET, targeting algebra and number theory.

Packages

  • MathFoundations.Abstractions
    Interfaces for arithmetic, division semantics, sign checks, and identity elements
  • MathFoundations.Algorithms
    Algorithm implementations (e.g., floored remainder via multiple strategies)

Abstractions

Fine-grained interfaces following the policy-based design pattern:

  • Arithmetic — IAdd<T>, ISubtract<T>, IMultiply<T>, IDivide<T>, INegate<T>, IIncrement<T>, IDecrement<T>, IAbs<T>
  • Division variants — IDivide{Floored,Truncated,Euclidean}<T>, IRemainder{Floored,Truncated,Euclidean}<T>, IDivRem{Floored,Truncated,Euclidean}<T>
  • Identity & sign — IAdditiveIdentity<T>, IMultiplicativeIdentity<T>, IIsAdditiveIdentity<T>, IIsMultiplicativeIdentity<T>, IIsPositive<T>, IIsNegative<T>, IIsNonPositive<T>, IIsNonNegative<T>
  • Bitwise — IExclusiveOr<T>
  • Number theory — IGcd<T>

Usage

Implement a policy struct for your numeric type, then pass it to generic algorithms:

var remainder = IntegerDivision.RemainderFlooredBitwise(dividend, divisor, policy);

Building

dotnet build
dotnet test
dotnet run --project benchmarks/Benchmarks.Algorithms

Requires .NET SDK 10.0+. Tests use TUnit; benchmarks use BenchmarkDotNet.

License

MIT — Copyright (c) 2026 Viktor Tselov

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 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.

  • .NETStandard 2.0

    • No dependencies.

NuGet packages

This package is not used by any NuGet packages.

GitHub repositories

This package is not used by any popular GitHub repositories.

Version Downloads Last Updated
0.1.1 110 4/1/2026
0.1.0 103 3/29/2026

https://github.com/qbit86/math-foundations/blob/develop/CHANGELOG.md