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dotnet-generic-math

C# 11+ generic math with static abstract interface members in System.Numerics. USE FOR: writing generic numeric algorithms; constraining type parameters to INumber<T>/IFloatingPoint<T>/ITrigonometricFunctions<T>; implementing custom numeric types with operator overloads; defining static abstract interfaces (IAngleUnits pattern); CreateChecked/Saturating/Truncating cross-type conversions; AdditiveIdentity/MultiplicativeIdentity; singleton bridge pattern for static abstract at runtime; ISpanFormattable/ISpanParsable; generic Sum/Average/Lerp methods; Half/float/double/decimal compatibility. DO NOT USE FOR: Unity math; pre-.NET 7 System.Math/MathF workarounds; Python/JavaScript numerics.

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NetFabric/NetFabric.Numerics36 stars(GitHub 36 + cccskills 0)

Works withUnity

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See how to install

Files included (3)

SKILL.md4.7 KB
references/interfaces.md4.8 KB
references/patterns.md6.3 KB

SKILL.md (original)

Review the instructions the agent will receive before you install.

.NET Generic Math

Requires .NET 7+ / C# 11+. using System.Numerics;

Constraint Selection

Constraint	T must support	Example built-in types
`INumber<T>`	+, -, *, /, %, compare, Clamp, Sign	`int`, `float`, `double`, `decimal`, `Half`
`IFloatingPoint<T>`	Ceiling, Floor, Round, Truncate	`float`, `double`, `Half`, `decimal`
`IFloatingPointIeee754<T>`	Pi, E, Tau, NaN, ±Infinity	`float`, `double`, `Half`
`ITrigonometricFunctions<T>`	Sin, Cos, Tan, Asin, Acos, Atan2	`float`, `double`, `Half`
`IBinaryInteger<T>`	bit ops, DivRem, PopCount, rotate	`byte`–`long`, `nint`, `uint`–`ulong`
`IMinMaxValue<T>`	`T.MinValue` / `T.MaxValue`	all built-in numerics
`ISignedNumber<T>`	`T.NegativeOne`	signed int & float types

INumber<T> includes decimal & integers; IFloatingPointIeee754<T> is float-only and implies ITrigonometricFunctions<T>.

CreateChecked / CreateSaturating / CreateTruncating

Method	On overflow
`T.CreateChecked(x)`	Throws `OverflowException`
`T.CreateSaturating(x)`	Clamps to `T.MinValue` / `T.MaxValue`
`T.CreateTruncating(x)`	Wraps (lowest bits)

For IEEE-754 float types, all three clamp to ±Infinity (never throw).

Static Abstract Access Pattern

static T Sum<T>(ReadOnlySpan<T> values)
    where T : IAdditiveIdentity<T, T>, IAdditionOperators<T, T, T>
{
    var sum = T.AdditiveIdentity;       // access via T, not via the interface directly (CS8926)
    foreach (var v in values) sum += v;
    return sum;
}

Custom Type (minimum viable)

public readonly record struct Vec2<T>(T X, T Y)
    : IAdditiveIdentity<Vec2<T>, Vec2<T>>,
      IAdditionOperators<Vec2<T>, Vec2<T>, Vec2<T>>
    where T : struct, INumber<T>
{
    public static Vec2<T> AdditiveIdentity => new(T.AdditiveIdentity, T.AdditiveIdentity);
    public static Vec2<T> operator +(Vec2<T> l, Vec2<T> r) => new(l.X + r.X, l.Y + r.Y);
}

Prefer Type Members Over Math / MathF

Never use Math or MathF. Since .NET 7, all constants and methods are available as static members on the numeric types themselves, which also work in generic contexts.

Instead of	Use
`Math.PI`	`double.Pi`
`MathF.PI`	`float.Pi`
`Math.Floor(x)`	`double.Floor(x)`
`MathF.Floor(x)`	`float.Floor(x)`
`Math.Abs(x)`	`T.Abs(x)` (generic)
`Math.Sin(x)`	`T.Sin(x)` (generic)
`Math.Sqrt(x)`	`T.Sqrt(x)` (generic)
`Math.Max(a, b)`	`T.Max(a, b)` (generic)

In generic code, call the method on T (e.g., T.Sin(x)); for concrete double/float code, call on the type (double.Sin(x)).

Always match the constant or method to the type of the value being computed. Mixing types causes silent implicit conversions.

`double`	`float`	`int` / `long` / …
`double.Pi`	`float.Pi`	—
`double.Tau`	`float.Tau`	—
`double.E`	`float.E`	—
`double.MinValue`	`float.MinValue`	`int.MinValue`, `long.MinValue`
`double.MaxValue`	`float.MaxValue`	`int.MaxValue`, `long.MaxValue`
`double.Pow(x, y)`	`float.Pow(x, y)`	—
`double.Sqrt(x)`	`float.Sqrt(x)`	—
`double.Log(x)`	`float.Log(x)`	—
`double.Abs(x)`	`float.Abs(x)`	`int.Abs(x)`, `long.Abs(x)`
`double.Max(a, b)`	`float.Max(a, b)`	`int.Max(a, b)`, `long.Max(a, b)`
`double.Clamp(v,min,max)`	`float.Clamp(…)`	`int.Clamp(…)`, `long.Clamp(…)`

In generic code use T.Pi, T.Abs(x), T.Max(a, b), etc. — the compiler resolves to the correct type automatically.

Reference Files

File	Load When
references/interfaces.md	Full operator/function/parsing interface tables; CRTP rule; built-in type coverage
references/patterns.md	Custom type recipe; static abstract interface definition; singleton bridge; performance annotations

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Install

Install with a command

npx skills add https://github.com/NetFabric/NetFabric.Numerics --skill dotnet-generic-math

Paste it into your terminal and run it (requires Node.js). You can choose which agents to install it for, such as Claude Code or Codex.

Ask your agent

Please install the following Agent Skill.
https://github.com/NetFabric/NetFabric.Numerics/tree/main/.agents/skills/dotnet-generic-math

First review SKILL.md and the bundled files and confirm there is nothing suspicious (such as sending data externally or reading credentials). Then place it in ~/.claude/skills/dotnet-generic-math/ for Claude Code, or ~/.agents/skills/dotnet-generic-math/ for Codex.

Send this text to Claude Code or Codex as is. It checks the contents before installing.

View source on GitHub

Repository: NetFabric/NetFabric.Numerics
Stars: 36
Forks: 1
Category: Development
License: MIT
Original language: English
Last updated: Aug 10, 2026

A skill is a set of instructions and scripts for an agent. cccskills does not guarantee that skills are safe. Review the contents before you install.