using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace cv4
{

    class Vector : IFormattable
    {
        public float x, y, z;
        public Vector(float x, float y, float z)
        {
            this.x = x;
            this.y = y;
            this.z = z;
        }

        public Vector()
        {
            x = y = z = 0;
        }

        public float Length()
        {
            return (float)Math.Pow(x * x + y * y + z * z, 0.5);
        }
        public Vector Unit()
        {
            float l = 1/Length();
            return this* l;
        }

        public static Vector operator+( Vector a, Vector b)
        {
            return new Vector(a.x + b.x, a.y + b.y, a.z + b.z);
        }

        public static Vector operator-(Vector a, Vector b)
        {
            return new Vector(a.x - b.x, a.y - b.y, a.z - b.z);
        }
         public static Vector operator*(Vector a, float b)
        {
            return new Vector(a.x * b, a.y * b, a.z * b);
        }
        public static Vector operator *(float b, Vector a)
        {
            return a * b;
        }

        public static Vector operator |(Vector a, float c)
        {
            return c * a.Unit();
        }
        public static float operator%(Vector a,Vector b)
        {
            return a.x * b.x + a.y * b.y + a.z * b.z;
        }

        public static Vector operator ^(Vector a, Vector b)
        {
            return new Vector(a.y * b.z - a.z * b.y,
                              a.x * b.z - a.z * b.x,
                              a.x * b.y - a.y * b.x);
        }

        public string ToString(string format, IFormatProvider provider)
        {
            return "(" + x + ", " + y + ", " + z + ")";
        }
    }
    class Program
    {

        static void Main(string[] args)
        {
            float step = 0.00001f;

            Vector rychlost = new Vector(1,0,1);
            Vector pozice = new Vector();
            Vector gravitace = new Vector(0,0,-9.81f);

            rychlost = rychlost | 500;

            float dur = 0;
            float odpor = 0.99f;
            Vector vietor = new Vector(20, 20, 0);
            for (;  pozice.z >= 0; dur += step)
            {
                pozice += rychlost * step;
                rychlost += gravitace * step;
                rychlost -= vietor;
                rychlost *= (float)Math.Pow(odpor, step);
                rychlost += vietor;
            }
            Console.WriteLine(pozice);
            Console.WriteLine("sim trvala {0}", dur);

           
            /*Vector a = new Vector(1, 1, 0);
            Vector b = new Vector(1, -1, 0);
            Vector c = a^b;
            //Console.WriteLine("({0}, {1}, {2})", c.x, c.y, c.z);
            Console.WriteLine(c);*/

        }
    }
}