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https://github.com/djben/mathutil
Collection of matrix arithmetics, CoreGraphics and SceneKit operator overloading and various interpolation support.
https://github.com/djben/mathutil
carthage euler-angles interpolation mathematics matrix quaternion swift swift4 vector-math
Last synced: about 18 hours ago
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Collection of matrix arithmetics, CoreGraphics and SceneKit operator overloading and various interpolation support.
- Host: GitHub
- URL: https://github.com/djben/mathutil
- Owner: DJBen
- License: mit
- Created: 2017-07-21T06:48:18.000Z (about 7 years ago)
- Default Branch: master
- Last Pushed: 2017-12-29T23:46:38.000Z (over 6 years ago)
- Last Synced: 2024-09-24T20:40:27.843Z (about 23 hours ago)
- Topics: carthage, euler-angles, interpolation, mathematics, matrix, quaternion, swift, swift4, vector-math
- Language: Swift
- Size: 54.7 KB
- Stars: 4
- Watchers: 1
- Forks: 2
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
# MathUtil
[](https://swift.org)
[](https://opensource.org/licenses/MIT)
[](https://github.com/Carthage/Carthage)
[](https://travis-ci.org/DJBen/MathUtil)
## Overview
- Strongly typed radian, degree and hour angle classes and conversions.
- 3x3 matrix, 4x4 matrix and quaternion support.
- Conversion between matrix, quaternion, Euler angle, and axis and rotation.
- Matrix, quaternion multiplication, inversion and scalar multiplication.
- Overloaded multiplication and division operators in contexts of matrix and quaternion.
- Interpolation support for linear, quadratic and cubic curves with ease-in, ease-out, ease-in-out modes.
- Detect whether two line segments cross each other.
- Operator overloading for `SCNVector3` and more.
## Installation
### Carthage
# Swift 4.0
github "DJBen/MathUtil" ~> 0.3.0
This version is compatible with Swift 4. To use Swift 3.x compatible version, use `0.1.x` instead.
# Swift 3.x
github "DJBen/MathUtil" ~> 0.1.0
## Usage
### Strongly Typed Angles
#### Radian-degree Angle Conversion
```swift
RadianAngle(degreeAngle: DegreeAngle(30)).value // 0.523...
DegreeAngle(radianAngle: RadianAngle(Double.Pi / 2)).value // 90
```
#### Hour Angle Conversion and Formatting
```swift
// Sirius' right ascension is 6h 45m 9s
let deg = DegreeAngle(hour: 6, minute: 45, second: 9)
deg.value // 101.2875
let hourAngle = HourAngle(value: deg)
// Use any custom number formatters for different decimal lengths
hourAngle.compoundDecimalNumberFormatter = NumberFormatter()
print(hourAngle.compoundDescription) // 6h 45m 9s
// Antares' right ascension is −26.432002 degrees
let degreeAngle = DegreeAngle(-26.432002)
print(degreeAngle.compoundDescription) // -26° 25′ 55″
```
### Matrix, Quaternion and Vector Arithmetics
See documentation for [VectorMath](https://github.com/nicklockwood/VectorMath).
### Interpolations
#### Linear interpolation
```swift
// Starts at 2.1; ends at 7.5; wants to know 85% value.
let interp = Easing(startValue: 2.1, endValue: 7.5)
interp.value(at: 0.85) // 6.69
```
#### Quadratic, Cubic, Ease In, Ease Out
The following easing functions are available and [here](http://gizma.com/easing/) is their mathematic definitions.
```swift
public enum EasingFunction {
case linear
case quadraticEaseIn
case quadraticEaseOut
case quadraticEaseInOut
case cubicEaseIn
case cubicEaseOut
case cubicEaseInOut
}
```
Just pass in the function when initializing `Easing` and take advantage of it!
```swift
Easing(easingMethod: .cubicEaseInOut, startValue: 21, endValue: -9)
```
### Operator overloading
- Add operator arithmetics for `CGVector` and `SCNVector3`.
## Remarks
`MathUtil/VectorMath**` are based on
[@nicklockwood](https://github.com/nicklockwood)'s [VectorMath](https://github.com/nicklockwood/VectorMath). Great thanks!
- Based on 0.3 version. Not bumping up to the latest release because I adopted a different order of deriving Euler angles from Quaternion and vice versa.