VectorArithmetic

Overview

Extending CGPoint, CGSize and CGVector with the protocols VectorOperatable & VectorArithmetic

Handles some of the Swift bugs related to architecture differences.

Just want to point out that Apple themselves uses CGPoint throughout UIKit for velocity and other vectors. So remember that when you see myPoint + myOtherPoint * 2

Dependency

To get better interoperability between different numerical types use

• ScalarArithmetic

Usage

Math Functions

letvector=CGVector(20,5.5)letpoint=CGPoint(x:5, y:5)
vector.angleInRadians // -1.30243011588899
vector.magnitude // 20.7424685126915
vector.length // synonym to magnitude
vector.lengthSquared // 430.25
vector.dotProduct(point) // 127.5
vector.crossProduct(point) // -72.5
vector.distanceTo(point) // 15.0083310198036
vector.reversed // {dx -20.0, dy -5.5}
vector.normalized // {dx 0.96420539280379, dy 0.265156483021042} vector.limited(20) // {dx 19.2841078560758, dy 5.30312966042085}
vector.scaled(20) // synonym to limited()
vector.angled(90) // {dx -9.29415287392715, dy 18.5436976451859}

Operators

varpoint:CGPoint=CGPoint(x:2.0, y:2.0)varvector:CGVector=CGVector(horizontal:2.0, vertical:2.0)
point = point + vector
point += vector
point = point - vector
point -= vector
point = point * vector
point *= vector
point = point / vector
point /= vector
vector = vector *4.5
vector *=20.5
vector = vector /2.0
vector /=2.0

Equatable and Comparable

point == vector
point != vector
point < vector
point <= vector
point > vector
point >= vector

Generic initializer

letpoint=CGPoint(horizontal:2.0,vertical:2.0)letvector=CGVector(horizontal:2.0,vertical:2.0)letyourStruct=YourStruct(horizontal:2.0,vertical:2.0)

Type constraints

classBoid<T:VectorOperatable, U:VectorOperatable>{varposition=T(horizontal:2.0, vertical:2.5)varvelocity=U(horizontal:2.0, vertical:2.5)}letboid=Boid<CGPoint,CGVector>()
boid.position = CGPointZero
boid.velocity =CGVectorMake(20,20)
boid.velocity > boid.position // True

Extending

Equatable and Comparable

protocolVectorOperatable{init(horizontal:Double,vertical:Double)varhorizontal:Double{getset}varvertical:Double{getset}}

Math Functions

protocolVectorArithmetic:VectorOperatable{varangleInRadians:Double{get}varmagnitude:Double{get}varlength:Double{get}varlengthSquared:Double{get}func dotProduct <T :VectorArithmetic>(vector:T)->Doublefunc distanceTo <T :VectorArithmetic>(vector:T)->Doublevarreversed:Self{get}varnormalized:Self{get}func limited(scalar:Double)->Selffunc scaled(scalar:Double)->Selffunc angled(scalar:Double)->Self}

###Contact

If you end up using VectorArithmetic in a project, I'd love to hear about it.

email: seivan.heidari@icloud.com
twitter: @seivanheidari

---

License

VectorArithmetic is © 2014 Seivan and may be freely distributed under the MIT license. See the LICENSE.md file.

---