static void ParseEquations(string input1 = "", string line2 = "")
{
bool valid = true;
char var1 = UNASSIGNED, var2 = UNASSIGNED; //blank space will be the default when it is unassigned
Matrix coefficients; //this will hold the coefficients for the variables
Matrix answers; //this will hold the answers for both equations
Matrix inverse; //this will hold the inverse of the coefficients matrix
Matrix varValues; //this will hold the values of the variables after solving for them
string input2 = line2; //second line user input
if (input1 != "")
{
WriteLine("Equation 1: " + input1 + "\n");
}
coefficients = new Matrix(2, 2); //initialize three matrices
coefficients = new Matrix(2, 2); //initialize three matrices
answers = new Matrix(2, 1); //initialize three matrices
try{ //parse first equation
Parsing.parseEquation(input1, coefficients, answers, ref var1, ref var2, true);
}
catch (ParseException e) {
WriteLine(e + "\n");
valid = false;
}
if (valid)
{
//Get second line and parse the variables
if (input2 == "")
{
Write("\nEnter the second equation \t--> ");
input2 = ReadLine();
}
else
{
WriteLine("Equation 2: " + input2 + "\n");
}
try{ //parse second equation
Parsing.parseEquation(input2, coefficients, answers, ref var1, ref var2, false);
}
catch (ParseException e) {
WriteLine(e + "\n");
valid = false;
}
if (valid)
{
WriteLine("\nThis is the coefficients matrix\n" + coefficients.ToString()); //output the values of the coefficients
try{
inverse = coefficients.Inverse(); //calculate the inverse of the coefficient matrix
WriteLine("This is the inverse of the coefficients matrix\n" + inverse.ToString());
WriteLine("This is the answers matrix\n" + answers.ToString());
varValues = inverse.Mult(answers); //find matrix X by doing coefficients.inverse * answers matrices
WriteLine("This is the solution of the multiplication of the inverse coefficients matrix and the answers matrix\n" + varValues.ToString());
WriteLine(var1 + " = " + varValues.GetCell(VAR1, 0));
WriteLine(var2 + " = " + varValues.GetCell(VAR2, 0));
}
catch (Exception e) {
WriteLine(e + "\nThe equations could not be calculated\n");
}
}
}
WriteLine("\nPress Enter to continue...");
ReadLine();
Clear();
}
