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NonantiNonanti
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Initial commit: MathFlow - C# math expression library
Features: - Expression parsing and evaluation - Symbolic mathematics (differentiation, simplification) - Numerical methods (integration, equation solving) - Complex number support - Vector operations - Statistical functions - LaTeX/MathML conversion - Full test suite (50 tests passing)
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‎.gitignore‎

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## Ignore Visual Studio temporary files, build results, and
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## files generated by popular Visual Studio add-ons.
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# User-specific files
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*.rsuser
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*.suo
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*.user
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*.userosscache
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*.sln.docstates
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# User-specific files (MonoDevelop/Xamarin Studio)
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*.userprefs
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# Build results
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[Dd]ebugPublic/
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x86/
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[Aa][Rr][Mm]/
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[Aa][Rr][Mm]64/
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bld/
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[Bb]in/
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[Oo]bj/
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[Ll]og/
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[Ll]ogs/
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# Visual Studio 2015/2017 cache/options directory
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.vs/
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# Visual Studio Code
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.vscode/
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# Rider
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.idea/
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*.sln.iml
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# MSTest test Results
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[Tt]est[Rr]esult*/
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[Bb]uild[Ll]og.*
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# NUnit
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*.VisualState.xml
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TestResult.xml
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nunit-*.xml
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# Build Results of an ATL Project
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[Dd]ebugPS/
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[Rr]eleasePS/
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dlldata.c
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# .NET Core
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project.lock.json
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project.fragment.lock.json
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artifacts/
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# Files built by Visual Studio
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*_i.c
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*_p.c
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*_h.h
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*.ilk
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*.meta
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*.rsp
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*.sbr
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*.tlb
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*.tli
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*.tlh
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*.tmp
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*.tmp_proj
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*_wpftmp.csproj
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*.log
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*.tlog
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*.vspscc
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*.vssscc
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.builds
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*.pidb
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*.svclog
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*.scc
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# NuGet Packages
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*.nupkg
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*.snupkg
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# The packages folder can be ignored because of Package Restore
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**/[Pp]ackages/*
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# except build/, which is used as an MSBuild target.
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!**/[Pp]ackages/build/
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# Uncomment if necessary however generally it will be regenerated when needed
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#!**/[Pp]ackages/repositories.config
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# NuGet v3's project.json files produces more ignorable files
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*.nuget.props
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*.nuget.targets
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# Microsoft Azure Build Output
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csx/
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*.build.csdef
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# Windows Store app package directories and files
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AppPackages/
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BundleArtifacts/
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Package.StoreAssociation.xml
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*.appxbundle
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# Visual Studio cache files
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# files ending in .cache can be ignored
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*.[Cc]ache
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# but keep track of directories ending in .cache
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!?*.[Cc]ache/
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# Others
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ClientBin/
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~$*
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*~
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*.dbmdl
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*.dbproj.schemaview
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*.jfm
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*.pfx
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*.publishsettings
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orleans.codegen.cs
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# Node.js Tools for Visual Studio
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.ntvs_analysis.dat
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node_modules/
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__pycache__/
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# Local History for Visual Studio
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healthchecksdb
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MigrationBackup/
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# macOS
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.DS_Store

‎Examples/Examples.csproj‎

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<Project Sdk="Microsoft.NET.Sdk">
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<PropertyGroup>
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<OutputType>Exe</OutputType>
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<TargetFramework>net9.0</TargetFramework>
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<ImplicitUsings>enable</ImplicitUsings>
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<Nullable>enable</Nullable>
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</PropertyGroup>
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<ItemGroup>
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<ProjectReference Include="..\MathFlow.Core\MathFlow.Core.csproj" />
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</ItemGroup>
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</Project>

‎Examples/Program.cs‎

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using MathFlow.Core;
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using MathFlow.Core.ComplexMath;
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using MathFlow.Core.Extensions;
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using MathFlow.Core.LinearAlgebra;
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using MathFlow.Core.Statistics;
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namespace MathFlow.Examples;
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class Program
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{
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static void Main(string[] args)
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{
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Console.WriteLine("=== MathFlow Examples ===\n");
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// Basic expression evaluation
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BasicExamples();
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// Symbolic mathematics
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SymbolicMathExamples();
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// Complex numbers
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ComplexNumberExamples();
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// Vector operations
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VectorExamples();
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// Statistical calculations
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StatisticsExamples();
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}
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static void BasicExamples()
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{
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Console.WriteLine("## Basic Expression Evaluation");
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var engine = new MathEngine();
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Console.WriteLine($"2 + 3 * 4 = {engine.Calculate("2 + 3 * 4")}");
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Console.WriteLine($"sin(pi/2) = {engine.Calculate("sin(pi/2)")}");
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Console.WriteLine($"sqrt(16) + log10(100) = {engine.Calculate("sqrt(16) + log10(100)")}");
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// With variables
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var vars = new Dictionary<string, double> { ["x"] = 3, ["y"] = 4 };
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Console.WriteLine($"x^2 + y^2 where x=3, y=4 = {engine.Calculate("x^2 + y^2", vars)}");
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Console.WriteLine();
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}
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static void SymbolicMathExamples()
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{
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Console.WriteLine("## Symbolic Mathematics");
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var engine = new MathEngine();
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// Differentiation
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var derivative = engine.Differentiate("x^3 - 2*x^2 + x - 1", "x");
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Console.WriteLine($"d/dx(x^3 - 2x^2 + x - 1) = {derivative}");
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// Simplification
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var simplified = engine.Simplify("2*x + 3*x - x");
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Console.WriteLine($"Simplify: 2x + 3x - x = {simplified}");
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// Integration
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var integral = engine.Integrate("x^2", "x", 0, 1);
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Console.WriteLine($"∫[0,1] x^2 dx = {integral:F6}");
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// Root finding
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var root = engine.FindRoot("x^2 - 2", 1);
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Console.WriteLine($"Root of x^2 - 2 = {root:F6} (√2)");
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Console.WriteLine();
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}
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static void ComplexNumberExamples()
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{
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Console.WriteLine("## Complex Numbers");
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var z1 = new ComplexNumber(3, 4);
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var z2 = new ComplexNumber(1, -2);
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Console.WriteLine($"z1 = {z1}");
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Console.WriteLine($"z2 = {z2}");
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Console.WriteLine($"|z1| = {z1.Magnitude:F2}");
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Console.WriteLine($"z1 + z2 = {z1 + z2}");
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Console.WriteLine($"z1 * z2 = {z1 * z2}");
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Console.WriteLine($"z1 / z2 = {z1 / z2}");
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Console.WriteLine($"z1* (conjugate) = {z1.Conjugate}");
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var polar = ComplexNumber.FromPolar(5, Math.PI / 4);
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Console.WriteLine($"From polar(5, π/4) = {polar}");
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Console.WriteLine();
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}
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static void VectorExamples()
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{
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Console.WriteLine("## Vector Operations");
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var v1 = new Vector(3, 4, 0);
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var v2 = new Vector(1, 2, 2);
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Console.WriteLine($"v1 = {v1}");
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Console.WriteLine($"v2 = {v2}");
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Console.WriteLine($"|v1| = {v1.Magnitude:F2}");
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Console.WriteLine($"v1 + v2 = {v1 + v2}");
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Console.WriteLine($"v1 · v2 = {v1.Dot(v2)}");
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Console.WriteLine($"v1 × v2 = {v1.Cross(v2)}");
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Console.WriteLine($"Angle = {v1.AngleTo(v2).ToDegrees():F1}°");
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Console.WriteLine($"v1 normalized = {v1.Normalized()}");
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Console.WriteLine();
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}
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static void StatisticsExamples()
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{
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Console.WriteLine("## Statistical Functions");
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var data = new[] { 2.5, 3.1, 4.2, 3.8, 5.1, 3.9, 4.5, 3.3 };
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var data2 = new[] { 5.2, 6.1, 7.8, 7.2, 9.3, 7.5, 8.1, 6.8 };
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Console.WriteLine($"Data: [{string.Join(", ", data)}]");
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Console.WriteLine($"Mean = {StatisticalFunctions.Mean(data):F2}");
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Console.WriteLine($"Median = {StatisticalFunctions.Median(data):F2}");
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Console.WriteLine($"StdDev = {StatisticalFunctions.StandardDeviation(data):F2}");
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var (q1, q2, q3) = StatisticalFunctions.Quartiles(data);
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Console.WriteLine($"Quartiles: Q1={q1:F2}, Q2={q2:F2}, Q3={q3:F2}");
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Console.WriteLine($"Correlation with data2 = {StatisticalFunctions.Correlation(data, data2):F3}");
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var (slope, intercept) = StatisticalFunctions.LinearRegression(data, data2);
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Console.WriteLine($"Linear regression: y = {slope:F2}x + {intercept:F2}");
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}
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}

‎LICENSE‎

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MIT License
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Copyright (c) 2024 MathFlow
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.

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