Complex.Abs Method (Complex)


Gets the absolute value (or magnitude) of a complex number.

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

public static double Abs(
	Complex value


Type: System.Numerics.Complex

A complex number.

Return Value

Type: System.Double

The absolute value of value.

The absolute value of a complex number is equivalent to its Magnitude property. The absolute value of a real number a + bi is calculated as follows:

  • If b = 0, the result is 0.

  • If a > b, the result is a *Math.Sqrt(1 + b2/a2).

  • If b > a, the result is b * Math.Sqrt(1 + a2/b2).

If the calculation of the absolute value results in an overflow, the method returns either Double.PositiveInfinity or Double.NegativeInfinity. If either the Real or Imaginary property is Double.NaN and the other property is neither Double.PositiveInfinity nor Double.NegativeInfinity, the method returns Double.NaN.

The following example calculates the absolute value of a complex number and demonstrates that it is equivalent to the value of the Magnitude property.

using System;
using System.Numerics;

public class Example
   public static void Main()
      Complex complex1 = new Complex(2.0, 3.0);
      Console.WriteLine("|{0}| = {1:N2}", complex1, Complex.Abs(complex1));
      Console.WriteLine("Equal to Magnitude: {0}", 
// The example displays the following output:
//       |(2, 3)| = 3.60555127546399
//       Equal to Magnitude: True

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