/// <summary>
/// Zeichnet eine rationale Funktion f(x)=P(x)/Q(x)
/// </summary>
/// <param name="pFunc">Das Zähler-Polynom</param>
/// <param name="qFunc">Das Nenner-Polynom</param>
/// <param name="fillColor">Füllfarbe der Linie</param>
/// <param name="stepAccuracy"><para>Genauigkeits-Multiplikator mit der f(x) gezeichnet wird</para><para></para><para>1.0 entspricht 1/200 Schrittweite</para></param>
public void DrawRationalFunction(QuadPolynomial pFunc, QuadPolynomial qFunc, Color fillColor, float stepAccuracy = 10.0f)
{
// draw inside x-axis bounds
float xLeft = Geometry.LowX;
float xRight = Geometry.HighX;
GraphCoord lastPoint = new GraphCoord(-1f, -1f);
float stepIncrement = Geometry.Width / (200f * stepAccuracy);
for (float xStep = xLeft; xStep <= xRight; xStep += stepIncrement)
{
// calculate y = f(x) = P(x) / Q(x)
double pStep = pFunc.FunctionValue(xStep);
double qStep = qFunc.FunctionValue(xStep);
if (qStep == 0.0)
{
continue;
}
float yStep = (float)(pStep / qStep);
GraphCoord functionPoint = new GraphCoord(xStep, yStep);
if (xStep > xLeft)
{
DrawLine(lastPoint, functionPoint, fillColor, false);
}
lastPoint = functionPoint;
}
}
/// <summary>
/// Zeichnet eine polynomielle Funktion zweiten Grades f(x)=ax^2+bx+c
/// </summary>
/// <param name="polynomial">Quadratisches Polynom</param>
/// <param name="fillColor">Füllfarbe der Linie</param>
/// <param name="stepAccuracy"><para>Genauigkeits-Multiplikator mit der f(x) gezeichnet wird</para><para></para><para>1.0 entspricht 1/200 Schrittweite</para></param>
public void DrawPolynomialFunction(QuadPolynomial polynomial, Color fillColor, float stepAccuracy = 10.0f)
{
// draw inside x-axis bounds
float xLeft = Geometry.LowX;
float xRight = Geometry.HighX;
GraphCoord lastPoint = new GraphCoord(-1f, -1f);
float stepIncrement = Geometry.Width / (200f * stepAccuracy);
for (float xStep = xLeft; xStep <= xRight; xStep += stepIncrement)
{
// calculate y = f(x) = P(x) / Q(x)
float yStep = polynomial.FunctionValue(xStep);
GraphCoord functionPoint = new GraphCoord(xStep, yStep);
if (xStep > xLeft)
{
DrawLine(lastPoint, functionPoint, fillColor, false);
//System.Diagnostics.Debug.Print("zeichne linie: " + lastPoint.ToString() + "; " + functionPoint.ToString());
}
lastPoint = functionPoint;
}
}