ExtendedNumerics.BigRational 2023.108.2235

There is a newer version of this package available.
See the version list below for details.
dotnet add package ExtendedNumerics.BigRational --version 2023.108.2235
NuGet\Install-Package ExtendedNumerics.BigRational -Version 2023.108.2235
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="ExtendedNumerics.BigRational" Version="2023.108.2235" />
For projects that support PackageReference, copy this XML node into the project file to reference the package.
paket add ExtendedNumerics.BigRational --version 2023.108.2235
#r "nuget: ExtendedNumerics.BigRational, 2023.108.2235"
#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.
// Install ExtendedNumerics.BigRational as a Cake Addin
#addin nuget:?package=ExtendedNumerics.BigRational&version=2023.108.2235

// Install ExtendedNumerics.BigRational as a Cake Tool
#tool nuget:?package=ExtendedNumerics.BigRational&version=2023.108.2235


Arbitrary precision rational number class

E.g. 3 + 3/5

This library is also available on nuget: https://www.nuget.org/packages/ExtendedNumerics.BigRational

Other mathy projects & numeric types

I've written a number of other polynomial implementations and numeric types catering to various specific scenarios. Depending on what you're trying to do, another implementation of this same library might be more appropriate. All of my polynomial projects should have feature parity, where appropriate[^1].

[^1]: For example, the ComplexPolynomial implementation may be missing certain operations (namely: Irreducibility), because such a notion does not make sense or is ill defined in the context of complex numbers).

  • Polynomial. The original. A univariate polynomial that uses System.Numerics.BigInteger as the indeterminate type.
  • GenericPolynomial allows the indeterminate to be of an arbitrary type, as long as said type implements operator overloading. This is implemented by dynamically, at run time, calling the operator overload methods using Linq.Expressions and reflection.
  • CSharp11Preview.GenericMath.Polynomial allows the indeterminate to be of an arbitrary type, but this version is implemented using C# 11's new Generic Math via static virtual members in interfaces.
  • MultivariatePolynomial. A multivariate polynomial (meaning more than one indeterminate, e.g. 2XY^2) which uses BigInteger as the type for the indeterminates.
  • GenericMultivariatePolynomial. As above, but allows the indeterminates to be of [the same] arbitrary type. GenericMultivariatePolynomial is to MultivariatePolynomial what GenericPolynomial is to Polynomial, and indeed is implemented using the same strategy as GenericPolynomial (i.e. dynamic calling of the operator overload methods at runtime using Linq.Expressions and reflection).
  • ComplexPolynomial. Same idea as Polynomial, but using the System.Numerics.Complex class instead of System.Numerics.BigInteger.
  • ComplexMultivariatePolynomial. Same idea as MultivariatePolynomial, but using the System.Numerics.Complex class instead of System.Numerics.BigInteger.
  • BigDecimal - An arbitrary precision, base-10 floating point number class.
  • BigRational encodes a numeric value as an Integer + Fraction
  • BigComplex - Essentially the same thing as System.Numerics.Complex but uses a System.Numerics.BigInteger type for the real and imaginary parts instead of a double.
  • IntervalArithmetic. Instead of representing a value as a single number, interval arithmetic represents each value as a mathematical interval, or range of possibilities, [a,b], and allows the standard arithmetic operations to be performed upon them too, adjusting or scaling the underlying interval range as appropriate. See Wikipedia's article on Interval Arithmetic for further information.
  • GNFS - A C# reference implementation of the General Number Field Sieve algorithm for the purpose of better understanding the General Number Field Sieve algorithm.
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.  net6.0-windows7.0 is compatible.  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. 
.NET Core netcoreapp3.0 was computed.  netcoreapp3.1 is compatible. 
.NET Standard netstandard2.1 is compatible. 
.NET Framework net45 is compatible.  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 is compatible.  net481 was computed. 
MonoAndroid monoandroid was computed. 
MonoMac monomac was computed. 
MonoTouch monotouch was computed. 
Tizen 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.
  • .NETCoreApp 3.1

    • No dependencies.
  • .NETFramework 4.5

    • No dependencies.
  • .NETFramework 4.8

    • No dependencies.
  • .NETStandard 2.1

    • No dependencies.
  • net6.0-windows7.0

    • 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
2023.1000.2.328 2,024 11/25/2023
2023.1000.1.255 1,078 9/12/2023
2023.221.2134 575 8/10/2023
2023.179.1529 403 6/28/2023
2023.162.546 1,109 6/11/2023
2023.155.2020 273 6/5/2023
2023.122.547 198 5/2/2023
2023.121.2026 176 5/2/2023
2023.108.2235 223 4/19/2023
2022.319.1006 427 11/15/2022
2022.195.1437 3,898 7/14/2022
2022.195.942 470 7/14/2022 755 7/10/2020 617 7/6/2020 641 7/11/2020
1.0.0 681 9/2/2019