A generic Vector numeric type. Supports: Scalar arithmetic, vector arithmetic, square root, dot product, normal, reflection, distance, lerp, sum of squares and cosine similarity.
$ dotnet add package ExtendedArithmetic.GenericVectorA generic Vector numeric type.
Supports:
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:
Supports symbolic multivariate polynomial (generic) arithmetic including:
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 appropriate1.
GenericArithmetic - A core math library. Its a class of static methods that allows you to perform arithmetic on an arbitrary numeric type, represented by the generic type T, who's concrete type is decided by the caller. This is implemented using System.Linq.Expressions and reflection to resolve the type's static overloadable operator methods at runtime, so it works on all the .NET numeric types automagically, as well as any custom numeric type, provided it overloads the numeric operators and standard method names for other common functions (Min, Max, Abs, Sqrt, Parse, Sign, Log, Round, etc.). Every generic arithmetic class listed below takes a dependency on this class.
Polynomial - The original. A univariate polynomial that uses System.Numerics.BigInteger as the indeterminate type.
GenericPolynomial - A univariate polynomial library that allows the indeterminate to be of an arbitrary type, as long as said type implements operator overloading. This is implemented dynamically, at run time, calling the operator overload methods using Linq.Expressions and reflection.
CSharp11Preview.GenericMath.Polynomial - A univariate polynomial library that 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.
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). ↩