using System;
using System.Collections.Generic;
using System.Text;
public static class VectorDelegates {
public static int Compare(Vector x, Vector y) {
if (x.R > y.R) {
return 1;
} else if (x.R < y.R) {
return -1;
}
return 0;
}
public static bool TopRightQuadrant(Vector target) {
if (target.Theta >= 0.0 && target.Theta <= 90.0) {
return true;
} else {
return false;
}
}
}
public class Vectors : List<Vector> {
public Vectors() {
}
public Vectors(IEnumerable<Vector> initialItems) {
foreach (Vector vector in initialItems) {
Add(vector);
}
}
public string Sum() {
StringBuilder sb = new StringBuilder();
Vector currentPoint = new Vector(0.0, 0.0);
sb.Append("origin");
foreach (Vector vector in this) {
sb.AppendFormat(" + {0}", vector);
currentPoint += vector;
}
sb.AppendFormat(" = {0}", currentPoint);
return sb.ToString();
}
}
public class Vector {
public double? R = null;
public double? Theta = null;
public double? ThetaRadians {
get {
return (Theta * Math.PI / 180.0);
}
}
public Vector(double? r, double? theta) {
if (r < 0) {
r = -r;
theta += 180;
}
theta = theta % 360;
R = r;
Theta = theta;
}
public static Vector operator +(Vector op1, Vector op2) {
try {
double newX = op1.R.Value * Math.Sin(op1.ThetaRadians.Value)
+ op2.R.Value * Math.Sin(op2.ThetaRadians.Value);
double newY = op1.R.Value * Math.Cos(op1.ThetaRadians.Value)
+ op2.R.Value * Math.Cos(op2.ThetaRadians.Value);
double newR = Math.Sqrt(newX * newX + newY * newY);
double newTheta = Math.Atan2(newX, newY) * 180.0 / Math.PI;
return new Vector(newR, newTheta);
} catch {
return new Vector(null, null);
}
}
public static Vector operator -(Vector op1) {
return new Vector(-op1.R, op1.Theta);
}
public static Vector operator -(Vector op1, Vector op2) {
return op1 + (-op2);
}
public override string ToString() {
string rString = R.HasValue ? R.ToString() : "null";
string thetaString = Theta.HasValue ? Theta.ToString() : "null";
return string.Format("({0}, {1})", rString, thetaString);
}
}
class Program {
static void Main(string[] args) {
Vectors route = new Vectors();
route.Add(new Vector(2.0, 90.0));
route.Add(new Vector(1.0, 180.0));
route.Add(new Vector(0.5, 45.0));
route.Add(new Vector(2.5, 315.0));
Console.WriteLine(route.Sum());
Comparison<Vector> sorter = new Comparison<Vector>(VectorDelegates.Compare);
route.Sort(sorter);
Console.WriteLine(route.Sum());
Predicate<Vector> searcher = new Predicate<Vector>(VectorDelegates.TopRightQuadrant);
Vectors topRightQuadrantRoute = new Vectors(route.FindAll(searcher));
Console.WriteLine(topRightQuadrantRoute.Sum());
}
}
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