Complex.Magnitude プロパティ


複素数の大きさ (または絶対値) を取得します。Gets the magnitude (or absolute value) of a complex number.

 property double Magnitude { double get(); };
public double Magnitude { get; }
member this.Magnitude : double
Public ReadOnly Property Magnitude As Double


現在のインスタンスの大きさ。The magnitude of the current instance.

次の例では、複素数の絶対値を計算し、その値がMagnitudeプロパティの値と等価であることを示しています。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
Imports System.Numerics

Module Example
   Public Sub Main()
      Dim complex1 As New Complex(2.0, 3.0)
      Console.WriteLine("|{0}| = {1:N2}", complex1, Complex.Abs(complex1))
      Console.WriteLine("Equal to Magnitude: {0}", 
   End Sub
End Module
' The example displays the following output:
'       |(2, 3)| = 3.61
'       Equal to Magnitude: True


Magnitudeプロパティは、複素数の絶対値に相当します。The Magnitude property is equivalent to the absolute value of a complex number. これは、原点 (x 軸とデカルト座標系の y 軸の交差部分) から複素数が表す2次元の点までの距離を指定します。It specifies the distance from the origin (the intersection of the x-axis and the y-axis in the Cartesian coordinate system) to the two-dimensional point represented by a complex number. 絶対値は次のように計算されます。The absolute value is calculated as follows:

|a + bi | = Math.Sqrt(a * a + b * b)| a + bi | = Math.Sqrt(a * a + b * b)

絶対値の計算によってオーバーフローが発生した場合、このプロパティDouble.PositiveInfinityはまたはDouble.NegativeInfinityを返します。If the calculation of the absolute value results in an overflow, this property returns either Double.PositiveInfinity or Double.NegativeInfinity.

およびプロパティはMagnitude、極座標システムの複素数を表す点の位置を定義します。PhaseThe Magnitude and the Phase properties define the position of a point that represents a complex number in the polar coordinate system.

メソッドをFromPolarCoordinates呼び出すことにより、デカルト座標ではなく極座標に基づいて複素数をインスタンス化できます。You can instantiate a complex number based on its polar coordinates instead of its Cartesian coordinates by calling the FromPolarCoordinates method.