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Complex.Addition Operator

Visual Studio 2010

Adds two complex numbers.

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

C#
C++
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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.

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

C#
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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.

The following example illustrates addition with complex numbers.

C#
VB
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using System;
using System.Numerics;

public class Example
{
   public static void Main()
   {
      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)
            Console.WriteLine("{0} + {1} = {2}", c1, c2, c1 + c2);
   }
}
// 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)

.NET Framework

Supported in: 4

.NET Framework Client Profile

Supported in: 4

Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.
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