using System;

public class Program

{

    public static void Main()

    {

        Console.WriteLine(" omar ortiz, juan carlos rodriguez, yaquelin gonzález ");

        Console.WriteLine(" 2728621, 2823046, 2917133 ");

        Console.WriteLine(" 02/Oct/20 ");

        Console.WriteLine(" Act 8 - Programa 1");

         //4 - y^2 = x^2

            //1 = e^x + y

​

            //0 = y^2 - 4 + x^2

            //0 = e^x + y -1

​

            double x,y, criterio = 0.00001, e1, e2;

            double[,] matriz = new double[2, 3];

            double xV= 0, yV= 0;

​

​

            double pivote, factor;

            int c = 3, r = 2;

            int counter = 0;

​

            for (int i = 0; i < 2; i++)

            {

​

                Random random = new Random();

                x = random.Next(-5, 5);

                y = random.Next(-5, 5);

​

                e1 = (Math.Pow(x, 2) - 4 + Math.Pow(y, 2));

                e2 = (Math.Exp(x) + y - 1);

​

                while (Math.Abs(e1) > criterio || Math.Abs(e2) > criterio)

                {

​

                    matriz[0, 0] = 2 * x;

                    matriz[0, 1] = 2 * y;

                    matriz[0, 2] = -(Math.Pow(x, 2) - 4 + Math.Pow(y, 2));

                    matriz[1, 0] = Math.Exp(x);

                    matriz[1, 1] = 1;

                    matriz[1, 2] = -(Math.Exp(x) + y - 1);

​

                    for (int ren = 0; ren < r; ren++)

                    {

                        pivote = matriz[ren, ren];

                        for (int col = 0; col < c; col++)

                        {

                            matriz[ren, col] /= pivote;

                        }

                        for (int ren_eliminar = 0; ren_eliminar < r; ren_eliminar++)

                        {

                            if (ren_eliminar != ren)

                            {

                                factor = matriz[ren_eliminar, ren];

                                for (int col_eliminar = 0; col_eliminar < c;

                                    col_eliminar++)

                                {

                                    matriz[ren_eliminar, col_eliminar] =

                                        matriz[ren_eliminar, col_eliminar] -

                                        factor * matriz[ren, col_eliminar];

​

                                }

                            }

                        }

                    }

​

                    x += matriz[0, 2];

                    y += matriz[1, 2];

​

                    e1 = (Math.Pow(x, 2) - 4 + Math.Pow(y, 2));

                    e2 = (Math.Exp(x) + y - 1);

​

​

                }

                Console.WriteLine("Ciclo: " + counter);

                Console.WriteLine("X: " + Math.Round(x, 2) + "  Y: " + Math.Round(y, 2));

                Console.ReadLine();

​

​

                if (Double.IsNaN(x) || Double.IsNaN(y))

                {

                    i--;

                }

                else

                {

                    Math.Round(x, 2);

                    Math.Round(y, 2);

                    counter++;

                    if (xV == x && yV == y)

                    {

                        i--;

​

                    }

                    else

                    {

                        if (xV == x && yV == y)

                        {

                            i--;

​

                        }

​

                    }

​

                    xV = x;

                    yV = y;

​

                }

​

            } //while (counter <2 ||(condicion1 == true && condicion2 == true));

​

        }

    }

​