ExtendedArithmetic.GenericMultivariatePolynomial
2023.63.1826
dotnet add package ExtendedArithmetic.GenericMultivariatePolynomial --version 2023.63.1826
NuGet\Install-Package ExtendedArithmetic.GenericMultivariatePolynomial -Version 2023.63.1826
<PackageReference Include="ExtendedArithmetic.GenericMultivariatePolynomial" Version="2023.63.1826" />
paket add ExtendedArithmetic.GenericMultivariatePolynomial --version 2023.63.1826
#r "nuget: ExtendedArithmetic.GenericMultivariatePolynomial, 2023.63.1826"
// 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 | Versions |
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.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 |
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.NETCoreApp 3.1
- No dependencies.
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.NETFramework 4.5
- No dependencies.
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.NETFramework 4.6
- No dependencies.
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.NETFramework 4.8
- No dependencies.
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.NETStandard 2.1
- No dependencies.
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net5.0
- No dependencies.
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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 |