using System;
using static System.Math;
using System.Collections;
using System.Collections.Generic;
using static System.Console;
class main{

public static Func<double,vector,vector> F=delegate(double x,vector y){
	return new vector(new double[] {y[1],-y[0]});
	};

public static void Main(){
	double a=0;
	vector ya=new vector("0,1");
	double b=2*PI;
	double h=0.1,acc=1e-3,eps=1e-3;
	var xs=new List<double>();
	var ys=new List<vector>();

	vector y=ode.driver(F,a,ya,b,acc:acc,eps:eps,h:h,xlist:xs,ylist:ys);

	Error.WriteLine($"y0    ={y[0]}    y1\t={y[1]}");
	Error.WriteLine($"sin(b)={Sin(b)} cos(b)\t={Cos(b)}");
	Error.WriteLine($"npoints={xs.Count}");

	for(int i=0;i<xs.Count;i++)
		WriteLine($"{xs[i]} {ys[i][0]} {ys[i][1]}");
}
}