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2d Vector Arithmetics Swift 5
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// | |
// | |
// CGVectorArithmetics.swift | |
// | |
// Created by fewlinesofcode.com on 2/6/19. | |
// Copyright © 2019 fewlinesofcode.com All rights reserved. | |
// | |
import Foundation | |
import CoreGraphics | |
extension CGVector: AdditiveArithmetic { | |
// Vector addition | |
public static func + (left: CGVector, right: CGVector) -> CGVector { | |
return CGVector(dx: left.dx + right.dx, dy: left.dy + right.dy) | |
} | |
// Vector subtraction | |
public static func - (left: CGVector, right: CGVector) -> CGVector { | |
return CGVector(dx: right.dx - left.dx, dy: right.dy - left.dy) | |
} | |
// Vector addition assignment | |
public static func += (left: inout CGVector, right: CGVector) { | |
left = left + right | |
} | |
// Vector subtraction assignment | |
public static func -= (left: inout CGVector, right: CGVector) { | |
left = left - right | |
} | |
// Vector negation | |
public static prefix func - (vector: CGVector) -> CGVector { | |
return CGVector(dx: -vector.dx, dy: -vector.dy) | |
} | |
} | |
infix operator * : MultiplicationPrecedence | |
infix operator / : MultiplicationPrecedence | |
infix operator • : MultiplicationPrecedence | |
extension CGVector { | |
// Scalar-vector multiplication | |
public static func * (left: CGFloat, right: CGVector) -> CGVector { | |
return CGVector(dx: right.dx * left, dy: right.dy * left) | |
} | |
public static func * (left: CGVector, right: CGFloat) -> CGVector { | |
return CGVector(dx: left.dx * right, dy: left.dy * right) | |
} | |
// Vector-scalar division | |
public static func / (left: CGVector, right: CGFloat) -> CGVector { | |
guard right != 0 else { fatalError("Division by zero") } | |
return CGVector(dx: left.dx * right, dy: left.dy * right) | |
} | |
// Vector-scalar division assignment | |
public static func /= (left: inout CGVector, right: CGFloat) -> CGVector { | |
guard right != 0 else { fatalError("Division by zero") } | |
return CGVector(dx: left.dx / right, dy: left.dy / right) | |
} | |
// Scalar-vector multiplication assignment | |
public static func *= (left: inout CGVector, right: CGFloat) { | |
left = left * right | |
} | |
} | |
extension CGVector { | |
// Vector magnitude (length) | |
public var magnitude: CGFloat { | |
return sqrt(dx*dx + dy*dy) | |
} | |
// Distance between two vectors | |
public func distance(to vector: CGVector) -> CGFloat { | |
return (self - vector).magnitude | |
} | |
// Vector normalization | |
public var normalized: CGVector { | |
return CGVector(dx: dx / magnitude, dy: dy / magnitude) | |
} | |
// Dot product of two vectors | |
public static func • (left: CGVector, right: CGVector) -> CGFloat { | |
return left.dx * right.dx + left.dy * right.dy | |
} | |
// Angle between two vectors | |
// θ = acos(AB) | |
public func angle(to vector: CGVector) -> CGFloat { | |
return acos(self.normalized • vector.normalized) | |
} | |
} |
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