Complex.Atan(Complex) 方法

定义

命名空间:

System.Numerics

程序集:

System.Runtime.Numerics.dll

Source:

Complex.cs

返回指定复数的反正切值的角度。

public:
 static System::Numerics::Complex Atan(System::Numerics::Complex value);

public static System.Numerics.Complex Atan (System.Numerics.Complex value);

static member Atan : System.Numerics.Complex -> System.Numerics.Complex

Public Shared Function Atan (value As Complex) As Complex

参数

value

Complex

复数。

返回

Complex

角度是 value的反正切值。

示例

以下示例演示了 Atan 方法。 它显示，将 Atan 方法返回的值传递给 Tan 方法将返回原始 Complex 值。

using System;
using System.Numerics;

public class Example
{
   public static void Main()
   {
      Complex[] values = { new Complex(2.5, 1.5),
                           new Complex(2.5, -1.5),
                           new Complex(-2.5, 1.5),
                           new Complex(-2.5, -1.5) };
      foreach (Complex value in values)
         Console.WriteLine("Tan(Atan({0})) = {1}",
                            value, Complex.Tan(Complex.Atan(value)));
   }
}
// The example displays the following output:
//       Tan(Atan((2.5, 1.5))) = (2.5, 1.5)
//       Tan(Atan((2.5, -1.5))) = (2.5, -1.5)
//       Tan(Atan((-2.5, 1.5))) = (-2.5, 1.5)
//       Tan(Atan((-2.5, -1.5))) = (-2.5, -1.5)

open System.Numerics

let values =
    [ Complex(2.5, 1.5)
      Complex(2.5, -1.5)
      Complex(-2.5, 1.5)
      Complex(-2.5, -1.5) ]

for value in values do
    printfn $"Tan(Atan({value})) = {Complex.Atan value |> Complex.Tan}"
// The example displays the following output:
//       Tan(Atan((2.5, 1.5))) = (2.5, 1.5)
//       Tan(Atan((2.5, -1.5))) = (2.5, -1.5)
//       Tan(Atan((-2.5, 1.5))) = (-2.5, 1.5)
//       Tan(Atan((-2.5, -1.5))) = (-2.5, -1.5)

Imports System.Numerics

Module Example
   Public Sub Main()
      Dim values() As Complex = { New Complex(2.5, 1.5), 
                                  New Complex(2.5, -1.5), 
                                  New Complex(-2.5, 1.5), 
                                  New Complex(-2.5, -1.5) }
      For Each value As Complex In values
         Console.WriteLine("Tan(Atan({0})) = {1}", 
                            value, Complex.Tan(Complex.Atan(value)))
      Next                               
   End Sub
End Module
' The example displays the following example:
'       Tan(Atan((2.5, 1.5))) = (2.5, 1.5)
'       Tan(Atan((2.5, -1.5))) = (2.5, -1.5)
'       Tan(Atan((-2.5, 1.5))) = (-2.5, 1.5)
'       Tan(Atan((-2.5, -1.5))) = (-2.5, -1.5)

注解

复数 Atan 方法对应于实数的 Math.Atan 方法。

Atan 方法使用以下公式：

(ImaginaryOne / new Complex(2.0, 0.0)) * (Log(One - ImaginaryOne * value) - Log(One + ImaginaryOne * value))

另请参阅

• Tan(Complex)
• Atan(Double)