Math.Atan2(Double, Double) 方法

參考

定義

命名空間:: System

組件:: mscorlib.dll, System.Runtime.Extensions.dll

組件:: netstandard.dll, System.Runtime.dll

組件:: System.Runtime.Extensions.dll

組件:: mscorlib.dll

組件:: netstandard.dll

來源:: Math.cs

來源:: Math.cs

來源:: Math.cs

重要

部分資訊涉及發行前產品，在發行之前可能會有大幅修改。 Microsoft 對此處提供的資訊，不做任何明確或隱含的瑕疵擔保。

傳回正切函數是兩個指定數字之商數的角。

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

參數

y: Double

某個點的 Y 座標。

x: Double

某個點的 X 座標。

傳回

Double

以弧度為單位的角度 θ，讓 tan (θ) = y / x ，其中 (x ， y) 是笛卡兒平面中的點。注意下列各項：

如果 (x, y) 在第 1 象限，則 0 < θ < π/2。
針對 (x ， y) 象限 2，π/2 < ≤ π。
針對 (x ， y 在象限 3、-π ≤ θ < -π/2 中) 。
如果 (x, y) 在第 4 象限，則 -π/2 < θ < 0。

如果是位在象限界限上的點，則傳回值如下：

如果 y 是 0，且 x 不是負值，則 θ = 0。
如果 y 是 0，且 x 是負值，則 θ = π。
如果 y 是正值，且 x 是 0，則 θ = π/2。
如果 y 是負值，而 x 是 0，則 θ = -π/2。
如果 y 是 0 且 x 是 0，則 θ = 0。

如果 x 或 y 為 NaN，或者 x 和 y 為 PositiveInfinity 或 NegativeInfinity，這個方法會傳回 NaN。

範例

下列範例示範如何計算角度和向量的反正切值。產生的值會顯示在主控台中。

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

備註

傳回值是 X 軸所形成之笛卡兒平面的角度，以及從原點開始的向量、 (0，0) ，並在點終止， (x，y) 。

這個方法會呼叫基礎 C 執行時間，而且不同的作業系統或架構之間，確切的結果或有效輸入範圍可能會不同。

適用於

產品	版本
.NET	Core 1.0, Core 1.1, Core 2.0, Core 2.1, Core 2.2, Core 3.0, Core 3.1, 5, 6, 7, 8, 9, 10
.NET Framework	1.1, 2.0, 3.0, 3.5, 4.0, 4.5, 4.5.1, 4.5.2, 4.6, 4.6.1, 4.6.2, 4.7, 4.7.1, 4.7.2, 4.8, 4.8.1
.NET Standard	1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 2.0, 2.1
UWP	10.0

共用方式為

Math.Atan2(Double, Double) 方法

定義

參數

傳回

範例

備註

適用於

其他資源