Complex::Abs Method (Complex)

.NET Framework (current version)

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

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

Syntax

public:
static double Abs(
	Complex value
)

Parameters

value: Type: System.Numerics::Complex
A complex number.

Return Value

Type: System::Double

The absolute value of value.

Remarks

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.

Examples

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

C++

No code example is currently available or this language may not be supported.

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