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# fewlinesofcode/CGVectorArithmetics.swift

Last active Apr 12, 2021
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 left + (-right) } // 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) } }

### phungtienminh commented Mar 10, 2020

How can I type this symbol • ? I can't find any keys containing it on my Mac keyboard.