# Free Swift Library for 3D Geometry Operations

## Open Source Swift 3D library for Handling 3D Geometry Operations, such as Calculating Distances, Intersections, Orientations, and Transformations.

Euclid, is an open-source 3D geometry library that has emerged as a powerful tool for developers and mathematicians alike. With its comprehensive set of functions, intuitive interface, and robust documentation, Euclid has revolutionized the way 3D geometry is approached and implemented in various applications. It provides a rich collection of mathematical structures and algorithms that enable developers to solve various geometric problems efficiently.

Euclid is a high-performance, cross-platform library specifically designed for 3D geometry computations. It has included a wide range of functions and data structures that facilitate complex geometric computations, such as calculating distances, intersections, orientations, and transformations. Built with a focus on simplicity, efficiency, and flexibility, Euclid has gained popularity among programmers, researchers, and educators due to its ease of use and versatility.

The Euclid 3D Geometry Library has made a significant impact in various domains, including computer graphics, robotics, virtual reality, and scientific simulations. By providing a reliable and efficient toolset, Euclid has accelerated the development of 3D applications, enabling software developers to focus on solving higher-level challenges rather than reinventing the wheel. With its extensive feature set, intuitive interface, and collaborative community, Euclid has simplified complex geometric computations, saving time and effort for programmers and researchers.

## Getting Started with Euclid

The easiest way to install Euclid stable release is using CocoaPods. Please use the following command for a smooth installation.

### Install Euclid Library via CocoaPods

`pod 'Euclid', '~> 0.6' `

### Install Euclid Library via Carthage

`github "nicklockwood/Euclid" ~> 0.6 `

You can download the compiled shared library from Github repository.

## Comprehensive Geometry Operations via Swift

The open source Euclid library has revolutionized the way 3D geometry is approached and implemented in various Swift applications. It has provided an extensive set of functions that cover all major 3D geometric operations, such as point manipulation, vector algebra, line intersection, plane calculations, and mesh processing. These operations form the building blocks for various applications, such as computer graphics, robotics, physics simulations, and CAD/CAM software.

### How to Create Geometry inside Swift Applications?

```
// create some geometry using Euclid
let start = CFAbsoluteTimeGetCurrent()
let cube = Mesh.cube(size: 0.8, material: UIColor.red)
let sphere = Mesh.sphere(slices: 120, material: UIColor.blue)
let mesh = cube.subtract(sphere).makeWatertight()
print("Time:", CFAbsoluteTimeGetCurrent() - start)
print("Polygons:", mesh.polygons.count)
print("Triangles:", mesh.triangulate().polygons.count)
print("Watertight:", mesh.isWatertight)
```

## Create & Manage Meshes inside Swift Apps

The open source Euclid library has included powerful functionality for creating, rendering and displaying 3D shapes created with meshes inside Swift applications. The library supports several important features for working with meshes such as creating ,meshes from other meshes, creating meshes from polygons, creating meshes from paths, creating meshes from vertices or points or line-segments, creating meshes from text, exporting meshes, accessing mesh properties, comparing meshes, transforming meshes, merging meshes, splitting meshes and so on.

### How to Create a New Meshes & Display It via Swift API?

```
import Euclid
struct Mesh {
var vertices: [Vector3]
var faces: [Face]
}
// Create a new instance of the Mesh struct and initialize its properties.
var mesh = Mesh(vertices: [
Vector3(0, 0, 0),
Vector3(1, 0, 0),
Vector3(0, 1, 0)
], faces: [
Face(a: 0, b: 1, c: 2)
])
// To visualize the mesh, you can use a rendering framework like SceneKit or Metal.
import SceneKit
let scene = SCNScene()
let geometry = SCNGeometry(sources: [
SCNGeometrySource(vertices: mesh.vertices.map { SCNVector3($0.x, $0.y, $0.z) })
], elements: [
SCNGeometryElement(indices: mesh.faces.flatMap { [$0.a, $0.b, $0.c] }, primitiveType: .triangles)
])
let node = SCNNode(geometry: geometry)
scene.rootNode.addChildNode(node)
let sceneView = SCNView(frame: CGRect(x: 0, y: 0, width: 500, height: 500))
sceneView.scene = scene
// Add the scene view to your view hierarchy or present it as desired.
```