Article
11/18/2011

Complex.Addition Operator

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Adds two complex numbers.

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

Syntax

'Declaration
Public Shared Operator + ( _
    left As Complex, _
    right As Complex _
) As Complex

public static Complex operator +(
    Complex left,
    Complex right
)

Parameters

left
Type: System.Numerics.Complex
The first value to add.

right
Type: System.Numerics.Complex
The second value to add.

Return Value

Type: System.Numerics.Complex
The sum of left and right.

Remarks

The Addition method defines the addition operation for complex numbers. It enables code such as the following:

Dim c1 As New Complex(1.2, 2.3)
Dim c2 As New Complex(2.1, 3.2)
Dim c3 As Complex = c1 + c2

Complex c1 = new Complex(1.2, 2.3);
Complex c2 = new Complex(2.1, 3.2);
Complex c3 = c1 + c2;

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

(a + c) + (b + d)i

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

Languages that do not support custom operators can call the Add method instead.

Examples

The following example illustrates addition with complex numbers.

Imports System.Numerics

Module Example
   Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
      Dim values() As Complex = { New Complex(12.3, -1.4), 
                                  New Complex(-6.2, 3.1), 
                                  New Complex(8.9, 1.5) }   
      For Each c1 In values
         For Each c2 In values
            outputBlock.Text += String.Format("{0} + {1} = {2}", c1, c2, c1 + c2) & vbCrLf
         Next
      Next
   End Sub
End Module
' The example displays the following output:
'       (12.3, -1.4) + (12.3, -1.4) = (24.6, -2.8)
'       (12.3, -1.4) + (-6.2, 3.1) = (6.1, 1.7)
'       (12.3, -1.4) + (8.9, 1.5) = (21.2, 0.1)
'       (-6.2, 3.1) + (12.3, -1.4) = (6.1, 1.7)
'       (-6.2, 3.1) + (-6.2, 3.1) = (-12.4, 6.2)
'       (-6.2, 3.1) + (8.9, 1.5) = (2.7, 4.6)
'       (8.9, 1.5) + (12.3, -1.4) = (21.2, 0.1)
'       (8.9, 1.5) + (-6.2, 3.1) = (2.7, 4.6)
'       (8.9, 1.5) + (8.9, 1.5) = (17.8, 3)

using System;
using System.Numerics;

public class Example
{
   public static void Demo(System.Windows.Controls.TextBlock outputBlock)
   {
      Complex[] values = { new Complex(12.3, -1.4), 
                          new Complex(-6.2, 3.1), 
                          new Complex(8.9, 1.5) };
      foreach (var c1 in values)
         foreach (var c2 in values)
            outputBlock.Text += String.Format("{0} + {1} = {2}", c1, c2, c1 + c2) + "\n";
   }
}
// The example displays the following output:
//       (12.3, -1.4) + (12.3, -1.4) = (24.6, -2.8)
//       (12.3, -1.4) + (-6.2, 3.1) = (6.1, 1.7)
//       (12.3, -1.4) + (8.9, 1.5) = (21.2, 0.1)
//       (-6.2, 3.1) + (12.3, -1.4) = (6.1, 1.7)
//       (-6.2, 3.1) + (-6.2, 3.1) = (-12.4, 6.2)
//       (-6.2, 3.1) + (8.9, 1.5) = (2.7, 4.6)
//       (8.9, 1.5) + (12.3, -1.4) = (21.2, 0.1)
//       (8.9, 1.5) + (-6.2, 3.1) = (2.7, 4.6)
//       (8.9, 1.5) + (8.9, 1.5) = (17.8, 3)

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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