ExtendedArithmetic.GenericMultivariatePolynomial 2023.63.1826

.NET 5.0 .NET Core 3.1 .NET Standard 2.1 .NET Framework 4.5
There is a newer version of this package available.
See the version list below for details. 
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

GenericMultivariatePolynomial

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 Compatible and additional computed target framework versions.
.NET net5.0 is compatible.  net5.0-windows was computed.  net6.0 is compatible.  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. 
.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 is compatible.  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 4.6

    • 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
2023.200.0.249 121 9/6/2023
2023.122.1321 135 5/2/2023
2023.120.439 139 4/30/2023
2023.63.1826 219 3/5/2023
2023.63.758 202 3/4/2023
2022.355.1024 212 12/21/2022