Complex.Divide Method (Complex, Complex)

 

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)

Universal Windows Platform
Available since 8
.NET Framework
Available since 4.0
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 4.0
Windows Phone
Available since 8.1
Return to top
Show: