/// <summary>
/// GetSolution Method returning the equation solution
/// </summary>
/// <returns></returns>
private string GetSolution()
{
string finalResult = "";
int size = CoefficientMatrix.RowCount;
if (SolutionState == SolutionState.Unique)
{
for (int i = 0; i < size; i++)
{
double numerator = Matrix <double> .Determinant(CrammerMatrices[i], size);
finalResult += i != size - 1 ? string.Format("{0} = {1:0.0} , ", VarCoefficients.ElementAt(i).Key, numerator / Determinant)
: string.Format("{0} = {1:0.0}", VarCoefficients.ElementAt(i).Key, numerator / Determinant);
}
}
else if (SolutionState == SolutionState.Infinite)
{
finalResult = "No Unique Solution";
}
else
{
finalResult = "No Solution";
}
return(finalResult);
}
/// <summary>
/// GetCoefficientMatrix Method returning the coefficient matrix of the equation
/// </summary>
/// <returns></returns>
private Matrix <double> GetCoefficientMatrix()
{
int length = VarCoefficients.Keys.Count;
Matrix <double> result = new Matrix <double>(length, length);
for (int i = 0; i < length; i++)
{
for (int j = 0; j < length; j++)
{
result[i][j] = VarCoefficients[VarCoefficients.ElementAt(j).Key][i];
}
}
CoefficientParseCompletion();
return(result);
}
/// <summary>
/// CoefficientParseCompletion Method for completing the coefficient matrix
/// </summary>
private void CoefficientParseCompletion()
{
int length = VarCoefficients.Keys.Count;
for (int i = 0; i < length; i++)
{
if (VarCoefficients[VarCoefficients.ElementAt(i).Key].Count != length)
{
int j = VarCoefficients[VarCoefficients.ElementAt(i).Key].Count;
while (j < length)
{
VarCoefficients[VarCoefficients.ElementAt(i).Key].Add(0);
j++;
}
}
}
}