A dependency-free, lightweight, fast math library for 2D and 3D vectors, quaternions, and matrices in Swift with (optional) SIMD support. It is developed and maintained as part of the Fireblade Game Engine project.

• Vectors: Vec2, Vec3, Vec4 for Float, Double, Int, and UInt.
• Matrices: Mat2x2, Mat3x3, Mat4x4 for Float and Double.
• Quaternions: Quat4f and Quat4d.
• Geometric Types: Point, Size, Rect.
• Math Functions: A comprehensive set of functions including sin, cos, tan, asin, acos, atan2, dot, cross, normalize, reflect, refract, and many more.
• One import, every platform: import FirebladeMath is all you need, including the scalar functions (sin, sqrt, pow, ...). FirebladeMath resolves the platform's C library (Darwin, Glibc, Musl, Bionic, WASILibc, ucrt) itself, so the API is the same on macOS, iOS, Linux, Windows, WebAssembly, and Android.
• SIMD Support: Uses Apple's simd where available, with a portable implementation everywhere else.
• Identical results up to rounding: Every public function is checked against reference values recorded on macOS on each platform CI tests on, and the portable implementation is compared against Apple's simd.
• Swift 6 Ready: Fully compatible with Swift 6 and Sendable conformance.

• Swift 6.1 or higher
• Swift Package Manager (SPM)

Add Fireblade Math as a dependency to your Package.swift file:

// swift-tools-version: 6.1
import PackageDescription

let package = Package(
    name: "YourPackageName",
    dependencies: [
        .package(url: "https://github.com/fireblade-engine/math.git", from: "1.4.0")
    ],
    targets: [
        .target(
            name: "YourTargetName",
            dependencies: ["FirebladeMath"])
    ]
)

For more detailed information and API reference, please refer to the comprehensive documentation.

FirebladeMath uses the Swift package trait simd to select its implementation. The trait is enabled by default on Apple platforms, where FirebladeMath builds on Apple's simd; on all other platforms the portable implementation is used. Both produce the same results up to rounding.

To use the portable implementation on Apple platforms as well, depend on the package without its default traits:

.package(url: "https://github.com/fireblade-engine/math.git", from: "1.4.0", traits: [])

Comprehensive documentation for FirebladeMath is available online:

• Documentation

import FirebladeMath

let v1 = Vec3f(1, 2, 3)
let v2 = Vec3f(4, 5, 6)

let dotProduct = dot(v1, v2)
let crossProduct = cross(v1, v2)
let unitVector = normalize(v1)

import FirebladeMath

// Create a transformation matrix
var modelMatrix = Mat4x4f.identity
modelMatrix.translate(by: [10, 20, 30])
modelMatrix.rotate(by: .pi / 2, axis: [0, 1, 0])

// Project a point
let projection = Mat4x4f.perspectiveRH(fovy: .pi / 4, aspect: 16/9, zNear: 0.1, zFar: 100)

import FirebladeMath

let q = Quat4f(angle: .pi / 4, axis: [0, 1, 0])
let rotatedVector = q * Vec3f(1, 0, 0)

If you want to contribute please see the CONTRIBUTION GUIDE first.

1. git clone [email protected]:fireblade-engine/math.git
2. cd math
3. make setup

Before committing code please ensure to run:

• make pre-commit (formats, lints, and runs the tests)

Further checks, all run in CI:

This project is currently maintained by @ctreffs.
See also the list of contributors who participated in this project.

This project is licensed under the MIT License - see the LICENSE file for details.

• alejandro-isaza/Upsurge
• capnslipp/SCNMathExtensions
• davidskrundz/math
• dn-m/Math
• Jounce/Surge
• jph00/basemath
• mattt/euler
• nicklockwood/VectorMath
• SwiftGFX/SwiftMath
• SwiftGL/Math
• taketo1024/swiftymath
• timsearle/euclid