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Complex.Multiply Method

Microsoft Silverlight will reach end of support after October 2021. Learn more.

Returns the product of two complex numbers.

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

Syntax

'Declaration
Public Shared Function Multiply ( _
    left As Complex, _
    right As Complex _
) As Complex

public static Complex Multiply(
    Complex left,
    Complex right
)

Parameters

Return Value

Type: System.Numerics.Complex
The product of the left and right parameters.

Remarks

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

(ac - bd) + (ad + bc)i

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

The Multiply method is implemented for languages that do not support custom operators. Its behavior is identical to multiplication using the multiplication operator.

Examples

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

Imports System.Numerics

Module Example
   Public Sub Demo(ByVal outputBlock As System.Windows.Controls.TextBlock)
      Dim number1 As New Complex(8.3, 17.5)
      Dim numbers() As Complex = { New Complex(1.4, 6.3), 
                                   New Complex(-2.7, 1.8), 
                                   New Complex(3.1, -2.1) }
      For Each number2 In numbers
         outputBlock.Text += String.Format("{0} x {1} = {2}", number1, number2,  
                           Complex.Multiply(number1, number2)) + vbCrLf
      Next
   End Sub
End Module
' The example displays the following output:
'       (8.3, 17.5) x (1.4, 6.3) = (-98.63, 76.79)
'       (8.3, 17.5) x (-2.7, 1.8) = (-53.91, -32.31)
'       (8.3, 17.5) x (3.1, -2.1) = (62.48, 36.82)

using System;
using System.Numerics;

public class Example
{
   public static void Demo(System.Windows.Controls.TextBlock outputBlock)
   {
      Complex number1 = new Complex(8.3, 17.5);
      Complex[] numbers = { new Complex(1.4, 6.3), 
                            new Complex(-2.7, 1.8), 
                            new Complex(3.1, -2.1) };
      foreach (Complex number2 in numbers)
         outputBlock.Text += String.Format("{0} x {1} = {2}", number1, number2,
                           Complex.Multiply(number1, number2)) + "\n";
   }
}
// The example displays the following output:
//       (8.3, 17.5) x (1.4, 6.3) = (-98.63, 76.79)
//       (8.3, 17.5) x (-2.7, 1.8) = (-53.91, -32.31)
//       (8.3, 17.5) x (3.1, -2.1) = (62.48, 36.82)

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.