Kolbe.LitMath 0.3.6

.NET 6.0 This package targets .NET 6.0. The package is compatible with this framework or higher.
There is a newer version of this package available.
See the version list below for details. 
dotnet add package Kolbe.LitMath --version 0.3.6
                    


                    

                
NuGet\Install-Package Kolbe.LitMath -Version 0.3.6
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="Kolbe.LitMath" Version="0.3.6" />
For projects that support PackageReference, copy this XML node into the project file to reference the package. 
<PackageVersion Include="Kolbe.LitMath" Version="0.3.6" />
                    


                            Directory.Packages.props
                        

                    

                
<PackageReference Include="Kolbe.LitMath" />
                    


                            Project file
For projects that support Central Package Management (CPM), copy this XML node into the solution Directory.Packages.props file to version the package. 
paket add Kolbe.LitMath --version 0.3.6
                    


                    

                
#r "nuget: Kolbe.LitMath, 0.3.6"
#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. 
#:package Kolbe.LitMath@0.3.6
#:package directive can be used in C# file-based apps starting in .NET 10 preview 4. Copy this into a .cs file before any lines of code to reference the package. 
#addin nuget:?package=Kolbe.LitMath&version=0.3.6
                    


                            Install as a Cake Addin
                        

                    

                
#tool nuget:?package=Kolbe.LitMath&version=0.3.6
                    


                            Install as a Cake Tool

LitMath

A collection of AVX-256 accelerated mathematical functions for .NET

I rewrote Exp, Log, Sin and a few other useful functions using pure AVX intrinsics, so instead of doing one calculation per core, you can now do 4 doubles or 8 floats per core. I added the Sqrt, ERF function and a Normal Distribution CDF as well. On doubles, the following accuracies apply:

  • Exp and Sqrt run at double precision limits
  • ERF at 1e-13
  • Sin and Cos at 1e-15
  • Tan in $[0,\pi/4]$ at 2e-16
  • ATan at 1e-10 (working on it)

There are examples in the benchmark and tests. But here is one to get you started anyway.

Calculate n $e^x$'s in chunks of 4 and store the result in y.

int n = 40;
Span<double> x = new Span<double>(Enumerable.Range(0 , n).Select(z => (double)z/n).ToArray());
Span<double> y = new Span<double>(new double[n]);
LitExp.Exp(ref x, ref y);

Parallel Processing

LitMath leverages SIMD for instruction level parallelism, but not compute cores. For array sizes large enough, it would be a really good idea to do multicore processing. There's an example called LitExpDoubleParallel in the ExpBenchmark.cs file to see one way to go about this.

Product Compatible and additional computed target framework versions.
.NET 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.  net9.0 was computed.  net9.0-android was computed.  net9.0-browser was computed.  net9.0-ios was computed.  net9.0-maccatalyst was computed.  net9.0-macos was computed.  net9.0-tvos was computed.  net9.0-windows was computed.  net10.0 was computed.  net10.0-android was computed.  net10.0-browser was computed.  net10.0-ios was computed.  net10.0-maccatalyst was computed.  net10.0-macos was computed.  net10.0-tvos was computed.  net10.0-windows was computed. 
Compatible target framework(s)
Included target framework(s) (in package)
Learn more about Target Frameworks and .NET Standard.

  • 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
0.7.0 984 11/16/2023
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0.6.3 447 1/5/2023
0.6.2 430 1/3/2023
0.6.1 428 1/3/2023
0.6.0 393 12/8/2022
0.5.8 449 12/4/2022
0.5.7 454 11/27/2022
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0.5.2 464 11/22/2022
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0.5.0 511 9/24/2022
0.4.1 546 9/21/2022
0.4.0 553 9/21/2022
0.3.8 560 9/15/2022
0.3.7 589 9/14/2022
0.3.6 591 9/14/2022
0.3.5 595 9/14/2022
0.3.4 570 7/22/2022
0.3.3 556 7/21/2022
0.3.2 538 7/20/2022
0.3.1 557 7/20/2022
0.3.0 570 7/18/2022
0.2.1 590 7/9/2022
0.2.0 601 6/5/2022
0.1.2 576 6/3/2022
0.1.1 520 6/2/2022
0.1.0 562 6/2/2022