Math.Atan2(Double, Double) Methode

public:
 static double Atan2(double y, double x);

public static double Atan2(double y, double x);

static member Atan2 : double * double -> double

Public Shared Function Atan2 (y As Double, x As Double) As Double

Parameter

Gibt zurück

Ein Winkel, θ, gemessen in Bogenmaß, so dass Tan(θ) = y / x, wobei (x, y) ein Punkt in der kartesischen Ebene ist. Beachten Sie Folgendes:

• For (x, y) in Quadrant 1, 0 < θ < π/2.

• For (x, y) in Quadrant 2, π/2 < θ ≤ π.

• For (x, y) in Quadrant 3, -π ≤ θ < -π/2.

• For (x, y) in Quadrant 4, -π/2 < θ < 0.

Für Punkte an den Grenzen der Quadranten lautet der Rückgabewert wie folgt:

• Ist y 0 und x nicht negativ, θ = 0.

• Ist y 0 und x negativ, θ = π.

• Wenn y positiv ist und x 0 ist, θ = π/2.

• Ist y negativ und x 0, θ = -π/2.

• Ist y 0 und x 0, θ = 0.

Wenn x oder y ist NaN, oder wenn x und sind y eine PositiveInfinity oder NegativeInfinity, gibt die Methode zurückNaN.

Beispiele

Im folgenden Beispiel wird das Berechnen des Arkustangens eines Winkels und eines Vektors veranschaulicht. Der resultierende Wert wird in der Konsole angezeigt.

// This example demonstrates Math.Atan()
//                           Math.Atan2()
//                           Math.Tan()
using System;

class Sample
{
    public static void Main()
    {
    double x = 1.0;
    double y = 2.0;
    double angle;
    double radians;
    double result;

// Calculate the tangent of 30 degrees.
    angle = 30;
    radians = angle * (Math.PI/180);
    result = Math.Tan(radians);
    Console.WriteLine("The tangent of 30 degrees is {0}.", result);

// Calculate the arctangent of the previous tangent.
    radians = Math.Atan(result);
    angle = radians * (180/Math.PI);
    Console.WriteLine("The previous tangent is equivalent to {0} degrees.", angle);

// Calculate the arctangent of an angle.
    String line1 = "{0}The arctangent of the angle formed by the x-axis and ";
    String line2 = "a vector to point ({0},{1}) is {2}, ";
    String line3 = "which is equivalent to {0} degrees.";

    radians = Math.Atan2(y, x);
    angle = radians * (180/Math.PI);

    Console.WriteLine(line1, Environment.NewLine);
    Console.WriteLine(line2, x, y, radians);
    Console.WriteLine(line3, angle);
    }
}
/*
This example produces the following results:

The tangent of 30 degrees is 0.577350269189626.
The previous tangent is equivalent to 30 degrees.

The arctangent of the angle formed by the x-axis and
a vector to point (1,2) is 1.10714871779409,
which is equivalent to 63.434948822922 degrees.
*/

// This example demonstrates Math.Atan()
//                           Math.Atan2()
//                           Math.Tan()
// Functions 'atan', 'atan2', and 'tan' may be used instead. 
open System

[<EntryPoint>]
let main _ =
    let x = 1.
    let y = 2.

    // Calculate the tangent of 30 degrees.
    let angle = 30.
    let radians = angle * (Math.PI / 180.)
    let result = Math.Tan radians
    printfn $"The tangent of 30 degrees is {result}."

    // Calculate the arctangent of the previous tangent.
    let radians = Math.Atan result
    let angle = radians * (180. / Math.PI)
    printfn $"The previous tangent is equivalent to {angle} degrees."

    // Calculate the arctangent of an angle.

    let radians = Math.Atan2(y, x)
    let angle = radians * (180. / Math.PI)

    printfn 
        $"""The arctangent of the angle formed by the x-axis and 
a vector to point ({x},{y}) is {radians},
which is equivalent to {angle} degrees."""
    0

//This example produces the following results:
//     The tangent of 30 degrees is 0.577350269189626.
//     The previous tangent is equivalent to 30 degrees.
//     
//     The arctangent of the angle formed by the x-axis and
//     a vector to point (1,2) is 1.10714871779409,
//     which is equivalent to 63.434948822922 degrees.

' This example demonstrates Math.Atan()
'                           Math.Atan2()
'                           Math.Tan()
Class Sample
   Public Shared Sub Main()
      Dim x As Double = 1.0
      Dim y As Double = 2.0
      Dim angle As Double
      Dim radians As Double
      Dim result As Double
      
      ' Calculate the tangent of 30 degrees.
      angle = 30
      radians = angle *(Math.PI / 180)
      result = Math.Tan(radians)
      Console.WriteLine("The tangent of 30 degrees is {0}.", result)
      
      ' Calculate the arctangent of the previous tangent.
      radians = Math.Atan(result)
      angle = radians *(180 / Math.PI)
      Console.WriteLine("The previous tangent is equivalent to {0} degrees.", angle)
      
      ' Calculate the arctangent of an angle.
      Dim line1 As [String] = "{0}The arctangent of the angle formed by the x-axis and "
      Dim line2 As [String] = "a vector to point ({0},{1}) is {2}, "
      Dim line3 As [String] = "which is equivalent to {0} degrees."
      
      radians = Math.Atan2(y, x)
      angle = radians *(180 / Math.PI)
      
      Console.WriteLine(line1, Environment.NewLine)
      Console.WriteLine(line2, x, y, radians)
      Console.WriteLine(line3, angle)
   End Sub
End Class
'
'This example produces the following results:
'
'The tangent of 30 degrees is 0.577350269189626.
'The previous tangent is equivalent to 30 degrees.
'
'The arctangent of the angle formed by the x-axis and
'a vector to point (1,2) is 1.10714871779409,
'which is equivalent to 63.434948822922 degrees.
'

Hinweise

Der Rückgabewert ist der Winkel in der kartesischen Ebene, die von der X-Achse gebildet wird, und ein Vektor, der vom Ursprung (0,0) beginnt und am Punkt (x,y) endet.

Diese Methode ruft die zugrunde liegende C-Laufzeit auf, und das genaue Ergebnis oder der gültige Eingabebereich kann sich zwischen verschiedenen Betriebssystemen oder Architekturen unterscheiden.