Article
11/18/2011

Complex.Divide Method

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Divides one complex number by another and returns the result.

Namespace: System.Numerics
Assembly: System.Numerics (in System.Numerics.dll)

Syntax

'Declaration
Public Shared Function Divide ( _
    dividend As Complex, _
    divisor As Complex _
) As Complex

public static Complex Divide(
    Complex dividend,
    Complex divisor
)

Parameters

dividend
Type: System.Numerics.Complex
The complex number to be divided.

divisor
Type: System.Numerics.Complex
The complex number to divide by.

Return Value

Type: System.Numerics.Complex
The quotient of the division.

Remarks

The division of a complex number, a + bi, by a second complex number, number, c + di, takes the following form:

((ac + bd) / (c2 + d2)) + ((bc - ad) / (c2 + d2)i

If the calculation of the quotient results in an overflow in either the real or imaginary component, the value of that component is either Double.PositiveInfinity or Double.NegativeInfinity.

The Divide method can be used by languages that do not support custom operators. Its behavior is identical to division using the division operator.

Examples

The following example divides a complex number by each element in an array of complex numbers.

Imports System.Numerics

Module Example
   Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
      Dim c1 As New Complex(1.2, 2.3)
      Dim values() As Complex = { New Complex(1.2, 2.3), 
                                  New Complex(0.5, 0.75), 
                                  New Complex(3.0, -5.0) }
      For Each c2 In values
         outputBlock.Text += String.Format("{0} / {1} = {2:N2}", c1, c2,  
                           Complex.Divide(c1, c2)) + vbCrLf
      Next
   End Sub
End Module
' The example displays the following output:
'       (1.2, 2.3) / (1.2, 2.3) = (1.00, 0.00)
'       (1.2, 2.3) / (0.5, 0.75) = (2.86, 0.31)
'       (1.2, 2.3) / (3, -5) = (-0.23, 0.38)

using System;
using System.Numerics;

public class Example
{
   public static void Demo(System.Windows.Controls.TextBlock outputBlock)
   {
      Complex c1 = new Complex(1.2, 2.3);
      Complex[] values = { new Complex(1.2, 2.3), 
                           new Complex(0.5, 0.75), 
                           new Complex(3.0, -5.0) };
      foreach (Complex c2 in values)
         outputBlock.Text += String.Format("{0} / {1} = {2:N2}", c1, c2,
                           Complex.Divide(c1, c2)) + "\n";
   }
}
// The example displays the following output:
//       (1.2, 2.3) / (1.2, 2.3) = (1.00, 0.00)
//       (1.2, 2.3) / (0.5, 0.75) = (2.86, 0.31)
//       (1.2, 2.3) / (3, -5) = (-0.23, 0.38)

Version Information

Silverlight

Supported in: 5, 4

Platforms

For a list of the operating systems and browsers that are supported by Silverlight, see Supported Operating Systems and Browsers.

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