Mathematics

Mathematics.swift

import UIKit

class Pointted {
    var horizonal: CGPoint
    var vertical: CGPoint

    init(h: CGPoint, v: CGPoint) {
        horizonal = h
        vertical = v
    }
}

func angle(a: CGPoint, b: CGPoint) -> Double {
    var r = atan2(b.y - a.y, b.x - a.x)
    if r < 0 {
        r = r + CGFloat(2 * Double.pi)
    }
    return Double(r * 360 / CGFloat(2 * Double.pi))
}

func angleLength( p1: CGPoint, _ p2: Pointted) -> CGFloat {
    return sqrt(pow(p1.x - p2.horizonal.x, 2) + pow(p1.y - p2.vertical.y, 2))
}

func distance(a: CGPoint, b: CGPoint) -> Double {
    return sqrt(Double(pow(b.x - a.x, 2) + pow(b.y - a.y, 2)))
}

func coordinate(cg: Double)->(Double, Double, Double) {
    let radian: Double = cg * Double.pi / 180
    return(sin(radian), cos(radian) , tan(radian))
}

// 水平線からの角度を算出
print(angle(a: CGPoint(x: 50, y: 50), b: CGPoint(x: 100, y: 100)), "angle")

// 放物線の距離を算出
let p = Pointted(h: CGPoint(x: 50, y: 50), v: CGPoint(x: 100, y: 100))
print(angleLength(p1: CGPoint(x: 50, y: 50), p), "angleLength")

// 座標に対する距離を算出
print(distance(a: CGPoint(x: 50, y: 50), b: CGPoint(x: 100, y: 100)), "distance")

// sin 角度に対する 正弦に相当　　cos 角度に対する余弦に相当　　tan 角度に対する正接に相当
print(coordinate(cg: 100), "coordinate")