ZGeometry

A small, generic 2D geometry library for .NET. It provides a numeric vector type and a handful of 2D primitives (circle, rectangle, triangle, line, point) with a fluent API for the common spatial queries: overlaps, contains, and intersects.

Everything is generic over the numeric type (float, double, int, long, decimal, byte) via System.Numerics.INumber<T>, so you can pick the precision you need.

⚠️ Disclaimer: This is a small hobby library. It's handy for games, prototypes, and learning, but it is not a comprehensive or heavily optimised computational-geometry package. Expect a limited primitive set and possible breaking changes between versions.

Features

• Vector2D<T> — a generic 2D vector with arithmetic operators and helpers: Magnitude, Normalize, DotProduct, CrossProduct, Perpendicular, Lerp, Reflect, Clamp, polar/cartesian conversion, and more.
• Primitives — Circle<T>, Rectangle<T>, Triangle<T>, Line<T>, each with Create(...) factories.
• Fluent spatial queries — Overlaps, Contains, and Intersects extension methods across primitive pairs.
• Tuple sugar — (T, T) implicitly converts to Vector2D<T>, so call sites stay terse.

Installation

dotnet add package ZGeometry

Getting started

Vectors

using ZGeometry.Primitives.Point;

var a = Vector2D<float>.Create(3, 4);
var b = new Vector2D<float>(1, 2);

var sum       = a + b;            // (4, 6)
var scaled    = a * 2f;           // (6, 8)
var length    = a.Magnitude();    // 5
var unit      = a.Normalize();
var dot       = a.DotProduct(b);

Primitives

Each primitive has a Create factory. The numeric type is inferred from the arguments, and (x, y) tuples convert to vectors automatically.

using ZGeometry.Primitives.Circle;
using ZGeometry.Primitives.Rectangle;
using ZGeometry.Primitives.Line;
using ZGeometry.Primitives.Triangle;

var circle    = Circle<float>.Create((100, 100), 40);
var rectangle = Rectangle<float>.Create((10, 10), (200, 120));   // position, size
var line      = Line<float>.Create((0, 0), (300, 300));
var triangle  = Triangle<float>.Create((0, 0), (100, 0), (50, 80));

Spatial queries

The fluent extension methods read naturally. Overlaps and Contains return bool; Intersects returns the boundary intersection points.

using ZGeometry.Logic;

bool touching   = circle.Overlaps(rectangle);
bool inside     = circle.Contains(line);
var  crossings  = circle.Intersects(line);   // IEnumerable<Vector2D<float>>

Namespaces at a glance

License

MIT