public static LinearSimultaneousEquationsSolution CalculateSolution(List <LinearEquation> coefficients, out bool invalidCoefficients)
{
var a = coefficients[0].XTerm;
var b = coefficients[0].YTerm;
var c = coefficients[0].ConstantTerm;
var d = coefficients[1].XTerm;
var e = coefficients[1].YTerm;
var f = coefficients[1].ConstantTerm;
var NaN = Double.NaN;
var noSolution = new LinearSimultaneousEquationsSolution(NaN, NaN, true, false);
invalidCoefficients = false;
if ((a == 0 && b == 0) || (d == 0 && e == 0))
{
invalidCoefficients = true;
return(new LinearSimultaneousEquationsSolution(Double.NaN, Double.NaN, false, false));
}
else if (CheckIfParallel(coefficients))
{
return(GivenParallelCheckIfInfiniteSolutions(coefficients) ? ComputeInfiniteSolution(coefficients) : noSolution);
}
else if (a != 0)
{
return(new LinearSimultaneousEquationsSolution(Divide(b * f - c * e, e * a - b * d), Divide(c * d - a * f, e * a - b * d), false, false));
}
else if (b != 0 && d != 0)
{
return(new LinearSimultaneousEquationsSolution(Divide(c * e - f * b, b * d), Divide(-c, b), false, false));
}
else
{
throw new MathematicalImpossibilityException();
}
}
public LinearSimultaneousEquations(List <LinearEquation> coefficients, LinearSimultaneousEquationsSolution solution)
{
Coefficients = coefficients;
Solution = solution;
}
protected override bool CheckValidQuestion(List <LinearEquation> coefficients, LinearSimultaneousEquationsSolution solution)
{
if ((coefficients[0].XTerm == 0 && coefficients[0].YTerm == 0) || (coefficients[1].XTerm == 0 && coefficients[1].YTerm == 0))
{
return(false);
}
else if (!solution.InfiniteSolutions && parameters.RequireInfiniteSolutions)
{
return(false);
}
else if (!solution.NoSolution && parameters.RequireNoSolutions)
{
return(false);
}
else
{
return(true);
}
}