/// <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;
}
}
private void DrawTestImage()
{
PointF[] ps = new PointF[5];
ps[0] = new PointF(10f, 50f);
ps[1] = new PointF(80f, 70f);
ps[2] = new PointF(25f, 80f);
ps[3] = new PointF(50f, 35f);
ps[4] = new PointF(65f, 95f);
TestGraph.DrawLines(ps, TestGraph.ForegroundColor, true);
List <PointF> lps = new List <PointF>();
lps.Add(new PointF(0f, 100f));
lps.Add(new PointF(10f, 50f));
lps.Add(new PointF(20f, 25f));
lps.Add(new PointF(30f, 12.5f));
lps.Add(new PointF(40f, 6.25f));
lps.Add(new PointF(50f, 3.125f));
lps.Add(new PointF(60f, 1.5625f));
lps.Add(new PointF(70f, 0.78625f));
Color[] nextC = { Color.Red, Color.Blue, Color.Green };
int counter = 0;
for (float lc = -0.8f; lc < 0.9f; lc += 0.2f)
{
TestGraph.DrawCurve(lps[0], lps.GetRange(1, lps.Count - 1), nextC[(int)counter % 3], 10, lc);
counter += 1;
}
float pi = (float)Math.PI;
List <PointF> pie = new List <PointF>();
float[] nextY = { 0f, 1f, 0f, -1f };
counter = 0;
for (float pic = 0f; pic < 100f; pic += pi)
{
pie.Add(new PointF(pic, nextY[counter % 4]));
counter += 1;
}
for (float lc = 0.5f; lc < 0.7f; lc += 0.2f)
{
TestGraph.DrawCurve(pie[0], pie.GetRange(1, pie.Count - 1), nextC[(int)counter % 3], 10, lc);
counter += 1;
}
QuadPolynomial simpleQuadratic = new QuadPolynomial
{
two = (_) => 2.0f,
one = (_) => 0.0f,
zero = (_) => 3.0f
};
QuadPolynomial simpleLinear = new QuadPolynomial
{
two = (_) => 0.0f,
one = (_) => 0.5f,
zero = (_) => 4.0f
};
TestGraph.DrawRationalFunction(simpleLinear, simpleQuadratic, Color.Black);
}
/// <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;
}
}