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

/*
Дисциплина: "Программирование"
Группа:      БПИ176/1
Студент:     Коротков Даниил Александрович
Вариант: 1.2
*/

namespace SEMINAR5
{
    class Program
    {
        /// <summary>
        /// Input rectangle coordinates
        /// </summary>
        /// <param name="mes">Message to user</param>
        /// <returns>Double array with coordinates</returns>
        static double[] GetRect(string mes)
        {
            string[] inputs;
            double[] output = new double[4];
            bool flag = false;
            do
            {
                Console.Clear();
                Console.Write(mes);
                inputs = Console.ReadLine().Split().ToArray();
                //checking
                if (inputs.Length != 4) flag = true;
                else
                {
                    for (int i = 0; i < 4; i++)
                    {
                        flag = !(double.TryParse(inputs[i], out output[i]));
                        if (flag) break;
                    }
                }
            }
            while (flag);
            return output;
        }


        static void Main(string[] args)
        {
            do
            {
                //output data
                double cross;
                double length;
                double square;
                List<int> num = new List<int>();

                //inputs
                double[] Rect1 = GetRect("Input first rect coordinates: ");
                double[] Rect2 = GetRect("Input second rect coordinates: ");

                //Realisation
                Console.WriteLine($"Rects are in same quarter: {FindPosition(Rect1, Rect2, out num)}");
                if(FindPosition(Rect1, Rect2, out num))
                {
                    Console.Write("These are: ");
                    foreach(int elem in num) Console.Write($" {elem}");
                    Console.WriteLine();
                }
                Console.WriteLine($"Rect1 is a square: {IsSquare(Rect1, out cross)}");
                if (IsSquare(Rect1, out cross)) Console.WriteLine($"Cross is: {cross}");
                Console.WriteLine();
                Console.WriteLine($"Rect2 is a square: {IsSquare(Rect2, out cross)}");
                if (IsSquare(Rect2, out cross)) Console.WriteLine($"Cross is: {cross}");
                Console.WriteLine();
                GetRectInfo(Rect1,out square, out length, out cross);
                Console.WriteLine($"Rest1 params:\nSquare = {square}\nLength = {length}\nCross = {cross}");
                Console.WriteLine();
                GetRectInfo(Rect2, out square, out length, out cross);
                Console.WriteLine($"Rest2 params:\nSquare = {square}\nLength = {length}\nCross = {cross}");
                Console.WriteLine();

                Console.WriteLine("Press ESC to Quit");
            }
            while (Console.ReadKey().Key != ConsoleKey.Escape);
        }
        /// <summary>
        /// Are the Rects in same quarters?
        /// </summary>
        /// <param name="Rect1">First rects coordinates</param>
        /// <param name="Rect2">Second Rect coordinates</param>
        /// <param name="num">out var for numbers of quarters</param>
        /// <returns></returns>
        static bool FindPosition(double[] Rect1, double[] Rect2, out List<int> num)
        {
            num = new List<int>();
            bool flag = false;
            for(int i=1;i<=4;i++)
            {
                if (GetQuarter(Rect1).Contains(i) && GetQuarter(Rect2).Contains(i)) num.Add(i);
                flag = true;
            }
            if (flag) return true;
            return false;

        }
        /// <summary>
        /// Get a list of quarters for rectangle
        /// </summary>
        /// <param name="x">Coordinates of rectangle</param>
        /// <returns>True/False</returns>
        static List<int> GetQuarter(double[] x)
        {
            List<int> answer = new List<int>();
            if (x[2] > 0 && x[3] > 0) answer.Add(1);
            if (x[0] < 0 && x[3] > 0) answer.Add(2);
            if (x[0] < 0 && x[1] < 0) answer.Add(3);
            if (x[2] > 0 && x[1] < 0) answer.Add(4);
            return answer;
        }
        /// <summary>
        /// Is the rect a suare?
        /// </summary>
        /// <param name="x">coordinates of rect</param>
        /// <param name="cross">out var for cross</param>
        /// <returns>True/False></returns>
        static bool IsSquare(double[] x, out double cross)
        {
            bool flag = false;
            if (x[2] - x[0] == x[3] - x[1]) flag = true;
            if (flag) { cross = (x[2] - x[0]) * Math.Sqrt(2); return true; }
            cross = 0;
            return false;
        }
        /// <summary>
        /// Get full info for the rect
        /// </summary>
        /// <param name="x">coordinates of rect</param>
        /// <param name="square">out var square</param>
        /// <param name="length">out var length</param>
        /// <param name="cross">out var cross</param>
        static void GetRectInfo(double[] x, out double square, out double length, out double cross)
        {
            double weight = x[2] - x[0];
            double height = x[3] - x[1];
            square = weight * height;
            length = 2 * (weight + height);
            cross = Math.Sqrt(Math.Pow(weight, 2) + Math.Pow(height, 2));
        }

    }



}