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using DSComplexLib.Calculation;

ComplexNumber c1 = ComplexNumber.j; //j
ComplexNumber c2 = new ComplexNumber(1, 2); //1+2j

ComplexNumber c = (c1 / c2).Sqrt();
c.SetAngleRestriction(AngleRestriction.ar0To2Pi); //Winkel soll zwischen 0 und 2Pi liegen

label1.Text = c.ToCompString(); //In Komponenten-Form ausgeben
label2.Text = c.ToPolarString(false); //In Polar-Form ausgeben					

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using DSComplexLib.Calculation;

String s1 = "1+j2"; //1+2j
String s2 = "1*e^j90°"; //j

ComplexNumber c = ComplexNumber.Parse(s1) + ComplexNumber.Parse(s2);
label1.Text = c.ToCompString(); //In Komponenten-Form ausgeben					

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using System;
//...

using DSComplexLib.Calculation;
using DSComplexLib.Visualization;

namespace DSComplexLibDemo
{
    public partial class Form1 : Form
    {
        ComplexPlane cPlane;

        public Form1()
        {
            InitializeComponent();
        }

        private void Form1_Load(object sender, EventArgs e)
        {
            cPlane = new ComplexPlane(this.CreateGraphics());
            cPlane.SetSmoothingMode(SmoothingMode.AntiAlias); //Enable Antialiasing

            Pen AuxiliaryPen = new Pen(Color.LightGray, 1);
            AuxiliaryPen.DashStyle = DashStyle.Dot; //Make auxiliary raster lines gray dotted
            cPlane.SetAuxiliaryRasterPen(AuxiliaryPen);
            cPlane.AddCircle(Circle.UnitCircle); //Show unit circle
            cPlane.AddCircle(new Circle(Pens.Black, Math.Sqrt(2))); //Show circle with radius Sqrt(2)

            ComplexPhasorGroup g1 = new ComplexPhasorGroup("Group 1", false); //Create phasor group
            g1.AddPhasor(new ComplexPhasor(new ComplexNumber(1, 1), Pens.Red, "Phasor 1", true, true, ContentAlignment.TopLeft, false, ContentAlignment.BottomLeft, new Font("Verdana", 10), Brushes.Red)); //Add phasor
            g1.AddPhasor(new ComplexPhasor(new ComplexNumber(1, -1), Pens.Blue, "Phasor 2", true, true, ContentAlignment.BottomLeft, false, ContentAlignment.TopLeft, new Font("Verdana", 10), Brushes.Blue));
            cPlane.AddPhasorGroup(g1); //Add phasor group to complex plane

            ComplexPhasorGroup g2 = new ComplexPhasorGroup("Group 2", true); //Create phasor group where phasors are added graphically
            g2.AddPhasor(new ComplexPhasor(new ComplexNumber(-1, -1), Pens.Green, "Phasor 3", true, true, ContentAlignment.BottomRight, false, ContentAlignment.TopRight, new Font("Verdana", 10), Brushes.Green));
            g2.AddPhasor(new ComplexPhasor(new ComplexNumber(0, 2), Pens.Purple, "Phasor 4", true, true, ContentAlignment.MiddleLeft, false, ContentAlignment.MiddleRight, new Font("Verdana", 10), Brushes.Purple));
            cPlane.AddPhasorGroup(g2);
        }

        private void Form1_Paint(object sender, PaintEventArgs e)
        {
            cPlane.Render(this.ClientSize.Width, this.ClientSize.Height); //Redraw
        }

        private void Form1_Resize(object sender, EventArgs e)
        {
            Form1_Paint(sender, null); //Redraw when size of window changes
        }

        private void Form1_MouseMove(object sender, MouseEventArgs e)
        {
            if (((MouseEventArgs)e).Button == MouseButtons.Left) //When moving mouse and left button is pressed...
                cPlane.StretchSelectedPhasor(((MouseEventArgs)e).Location); //...stretch currently selected phasor
        }

        private void Form1_MouseDown(object sender, MouseEventArgs e)
        {
            cPlane.SelectPhasor(((MouseEventArgs)e).Location);
        }
    }
}					

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c3 = ComplexNumber.Multiply(c1, c2); //Erzeugt eine neue Instanz, die das Ergebnis enthält
c1.Multiply(c2); //Multipliziert c1 mit c2 und speichert das Ergebnis in c1