private void SolveQuadratic(double a, double b)
{
var sqrD = ShitMath.Sqrt(Discriminant);
var rootVal = (-b + sqrD) / (2 * a);
var rootStr = _shouldNotReduceFraction ? "" + (-b + sqrD + "/" + 2 * a) : "" + rootVal;
if (Regex.Match(rootStr, @"\-.+\/\-.+").Success)
{
rootStr = rootStr.Replace("-", "");
}
Steps.Add(
$"[Calculating first root]\tx0 = (-b + sqrt(D)) / 2a = ({-b} + {sqrD}) / {2 * a} = {rootStr}");
Roots.Add(rootStr);
if (Discriminant > 0)
{
rootVal = (-b - sqrD) / (2 * a);
rootStr = _shouldNotReduceFraction ? "" + (-b - sqrD + "/" + 2 * a) : "" + rootVal;
if (Regex.Match(rootStr, @"\-.+\/\-.+").Success)
{
rootStr = rootStr.Replace("-", "");
}
Steps.Add(
$"[Calculating second root]\tx0 = (-b - sqrt(D)) / 2a = ({-b} - {sqrD}) / {2 * a} = {rootStr}");
Roots.Add(rootStr);
}
}
private void SolveComplex(double a, double b)
{
var sqrD = ShitMath.Sqrt(-Discriminant);
var real = -b / (2 * a);
var imaginary = ShitMath.Abs(sqrD / (2 * a));
var rStr = _shouldNotReduceFraction ? -b + "/" + 2 * a : "" + real;
var iStr = _shouldNotReduceFraction ? sqrD + "/" + 2 * a : "" + imaginary;
Steps.Add($"[Real part of roots]\t\tr = -b / 2a = {-b} / {2 * a} = {rStr}");
Steps.Add($"[Imaginary part of roots]\ti = sqrt(D) / 2a = {sqrD} / {2 * a} = {iStr}");
Steps.Add($"[Calculating first root]\tx0 = r - i = {rStr} - {iStr}i");
Steps.Add($"[Calculating second root]\tx1 = r + i = {rStr} + {iStr}i");
if (Regex.Match(rStr, @"\-.+\/\-.+").Success)
{
rStr = rStr.Replace("-", "");
}
if (Regex.Match(iStr, @"\-.+\/\-.+").Success)
{
iStr = iStr.Replace("-", "");
}
Roots.Add(rStr + " - " + iStr + "i");
Roots.Add(rStr + " + " + iStr + "i");
}
