public string Solve()
{
Equations = Equations.OrderBy(i => i.TotalNumberOfVariables).ToList();
//Populate the Variable List
List <string> variablesList = new List <string>();
foreach (var equation in Equations)
{
equation.PopulateVariableList(variablesList);
}
//Validate the Number of Variables and Number of Equations
if ((variablesList.Count() - 1) < Equations.Count())
{
throw new Exception("Number of Equations and Variables should be same for Linear Equation Solver");
}
double[,] gaussMatrix = new double[Equations.Count(), variablesList.Count()]; //+1 for Vector
//Populate Matrix
for (int i = 0; i < Equations.Count(); i++)
{
var equation = Equations[i];
for (int j = 0; j < variablesList.Count(); j++)
{
gaussMatrix[i, j] = equation[variablesList[j]];
}
}
//Solve it by Gaussian Elimination Method
return(ToString());
}
public bool CheckVerificationEquation(GroupElementVector publicNonces, Scalar challenge, ScalarVector responses)
{
// The responses matrix should match the generators in the equations and
// there should be once nonce per equation.
Guard.True(nameof(publicNonces), Equations.Count() == publicNonces.Count());
return(Equations.Zip(publicNonces, (equation, r) => equation.Verify(r, challenge, responses)).All(x => x));
}