ExtendedArithmetic.GenericMultivariatePolynomial 2023.63.1826

.NET 5.0 .NET Core 3.1 .NET Standard 2.1 .NET Framework 4.5
dotnet add package ExtendedArithmetic.GenericMultivariatePolynomial --version 2023.63.1826
NuGet\Install-Package ExtendedArithmetic.GenericMultivariatePolynomial -Version 2023.63.1826
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="ExtendedArithmetic.GenericMultivariatePolynomial" Version="2023.63.1826" />
For projects that support PackageReference, copy this XML node into the project file to reference the package.
paket add ExtendedArithmetic.GenericMultivariatePolynomial --version 2023.63.1826
#r "nuget: ExtendedArithmetic.GenericMultivariatePolynomial, 2023.63.1826"
#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 ExtendedArithmetic.GenericMultivariatePolynomial as a Cake Addin
#addin nuget:?package=ExtendedArithmetic.GenericMultivariatePolynomial&version=2023.63.1826

// Install ExtendedArithmetic.GenericMultivariatePolynomial as a Cake Tool
#tool nuget:?package=ExtendedArithmetic.GenericMultivariatePolynomial&version=2023.63.1826


A multivariate, sparse, generic polynomial arithmetic library.

This generic implementation has been tested and supports performing arithmetic on numeric types such as BigInteger, Complex, Decimal, Double, BigComplex, BigDecimal, BigRational, Int32, Int64 and more.

All arithmetic is done symbolically. That means the result of an arithmetic operation on two polynomials is another polynomial, not the result of evaluating those two polynomials and performing arithmetic on the results.

An example of a multivariate polynomial would be:

16*X^2*Y + 12*X*Y - 4*Y - 1

Generic Arithmetic Type Polynomial

  • All classes and methods support a generic type T, which can be any data type that has arithmetic operator overloads. Explicitly, the following types have tests exercising all the standard arithmetic operations (Addition, Subtraction, Multiplication, Division, Exponentiation, Modulus, Square Root, Equality and Comparison (where applicable--Complex numbers are not orderable)) and so are well supported and come with verifiable proof that they work:

    • Every .NET CLR value type (Byte, Int16, Int32, Int64, UInt16, UInt32, UInt64, Float, Double, Decimal)
    • System.Numerics.BigInteger
    • System.Numerics.Complex
    • ExtendedNumerics.BigComplex (My arbitrary-precision complex number type library)
    • ExtendedNumerics.BigDecimal (My arbitrary-precision floating-point number type library.)
    • ExtendedNumerics.BigRational(My arbitrary precision rational number type library.)
    • ExtendedNumerics.Fraction (My arbitrary-precision rational number type library.)
    • Any type that has the Addition, Multiplication and Exponentiation operator overloads (at a minimum).
  • Supports symbolic multivariate polynomial (generic) arithmetic including:

    • Addition
    • Subtraction
    • Multiplication
    • Division
    • Modulus
    • Exponentiation
    • GCD of polynomials
    • Derivative
    • Integral
    • Reciprocal
    • Irreducibility checking
    • Polynomial evaluation by assigning values to the invariants.

Product Versions
.NET net5.0 net5.0-windows net6.0 net6.0-android net6.0-ios net6.0-maccatalyst net6.0-macos net6.0-tvos net6.0-windows net7.0 net7.0-android net7.0-ios net7.0-maccatalyst net7.0-macos net7.0-tvos net7.0-windows
.NET Core netcoreapp3.0 netcoreapp3.1
.NET Standard netstandard2.1
.NET Framework net45 net451 net452 net46 net461 net462 net463 net47 net471 net472 net48 net481
MonoAndroid monoandroid
MonoMac monomac
MonoTouch monotouch
Tizen tizen60
Xamarin.iOS xamarinios
Xamarin.Mac xamarinmac
Xamarin.TVOS xamarintvos
Xamarin.WatchOS xamarinwatchos
Compatible target framework(s)
Additional computed target framework(s)
Learn more about Target Frameworks and .NET Standard.
  • .NETCoreApp 3.1

    • No dependencies.
  • .NETFramework 4.5

    • No dependencies.
  • .NETFramework 4.6

    • No dependencies.
  • .NETFramework 4.8

    • No dependencies.
  • .NETStandard 2.1

    • No dependencies.
  • net5.0

    • No dependencies.
  • net6.0

    • 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
2023.63.1826 81 3/5/2023
2023.63.758 81 3/4/2023
2022.355.1024 109 12/21/2022