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Complex.Divide Method

Divides one complex number by another and returns the result.

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

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.

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.

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

using System;
using System.Numerics;

public class Example
{
   public static void Main()
   {
      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)
         Console.WriteLine("{0} / {1} = {2:N2}", c1, c2, 
                           Complex.Divide(c1, c2));
   }
}
// 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)

.NET Framework

Supported in: 4.5, 4

.NET Framework Client Profile

Supported in: 4

Portable Class Library

Supported in: Portable Class Library

.NET for Windows Store apps

Supported in: Windows 8

.NET for Windows Phone apps

Supported in: Windows Phone 8.1

Windows Phone 8.1, Windows 8.1, Windows Server 2012 R2, Windows 8, Windows Server 2012, Windows 7, Windows Vista SP2, Windows Server 2008 (Server Core Role not supported), Windows Server 2008 R2 (Server Core Role supported with SP1 or later; Itanium not supported)

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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