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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 Shared Function Divide ( _
	dividend As Complex, _
	divisor As Complex _
) As Complex


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

Imports System.Numerics

Module Example
   Public Sub Main()
      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
         Console.WriteLine("{0} / {1} = {2:N2}", c1, c2, 
                           Complex.Divide(c1, c2))
   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)

.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.