Math.Tanh(Double) Methode

Definitie

Naamruimte:: System

Assembly's:: mscorlib.dll, System.Runtime.Extensions.dll

Assembly's:: netstandard.dll, System.Runtime.dll

Assembly:: System.Runtime.Extensions.dll

Assembly:: mscorlib.dll

Assembly:: netstandard.dll

Bron:: Math.cs

Bron:: Math.cs

Bron:: Math.cs

Bron:: Math.cs

Bron:: Math.cs

Belangrijk

Bepaalde informatie heeft betrekking op een voorlopige productversie die aanzienlijk kan worden gewijzigd voordat deze wordt uitgebracht. Microsoft biedt geen enkele expliciete of impliciete garanties met betrekking tot de informatie die hier wordt verstrekt.

Retourneert de tangens hyperbolicus van de opgegeven hoek.

public:
 static double Tanh(double value);

public static double Tanh(double value);

static member Tanh : double -> double

Public Shared Function Tanh (value As Double) As Double

Parameters

value: Double

Een hoek, gemeten in radialen.

Retouren

Double

De tangens hyperbolicus van value. Als value dit gelijk is aan NegativeInfinity, retourneert deze methode -1. Als de waarde gelijk is aan PositiveInfinity, retourneert deze methode 1. Als value dit gelijk is aan NaN, retourneert NaNdeze methode .

Voorbeelden

In het volgende voorbeeld wordt gebruikgemaakt Tanh van het evalueren van bepaalde hyperbolische tangensidentiteiten voor geselecteerde waarden.

// Example for the hyperbolic Math.Tanh( double ) method.
using System;

class DemoTanh
{
    public static void Main()
    {
        Console.WriteLine(
            "This example of hyperbolic Math.Tanh( double )\n" +
            "generates the following output." );
        Console.WriteLine(
            "\nEvaluate these hyperbolic identities " +
            "with selected values for X:" );
        Console.WriteLine( "   tanh(X) == sinh(X) / cosh(X)" );
        Console.WriteLine(
            "   tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))" );

        UseTanh(0.1);
        UseTanh(1.2);
        UseTanh(4.9);

        Console.WriteLine(
            "\nEvaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) " +
            "/ (1 + tanh(X) * tanh(Y))]" +
            "\nwith selected values for X and Y:" );

        UseTwoArgs(0.1, 1.2);
        UseTwoArgs(1.2, 4.9);
    }

    // Evaluate hyperbolic identities with a given argument.
    static void UseTanh(double arg)
    {
        double tanhArg = Math.Tanh(arg);

        // Evaluate tanh(X) == sinh(X) / cosh(X).
        Console.WriteLine(
            "\n                       Math.Tanh({0}) == {1:E16}\n" +
            "      Math.Sinh({0}) / Math.Cosh({0}) == {2:E16}",
            arg, tanhArg, (Math.Sinh(arg) / Math.Cosh(arg)) );

        // Evaluate tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X)).
        Console.WriteLine(
            "                   2 * Math.Tanh({0}) /",
            arg, 2.0 * tanhArg );
        Console.WriteLine(
            "             (1 + (Math.Tanh({0}))^2) == {1:E16}",
            arg, 2.0 * tanhArg / (1.0 + tanhArg * tanhArg ) );
        Console.WriteLine(
            "                       Math.Tanh({0}) == {1:E16}",
            2.0 * arg, Math.Tanh(2.0 * arg) );
    }

    // Evaluate a hyperbolic identity that is a function of two arguments.
    static void UseTwoArgs(double argX, double argY)
    {
        // Evaluate tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
        Console.WriteLine(
            "\n    (Math.Tanh({0}) + Math.Tanh({1})) /\n" +
            "(1 + Math.Tanh({0}) * Math.Tanh({1})) == {2:E16}",
            argX, argY, (Math.Tanh(argX) + Math.Tanh(argY)) /
            (1.0 + Math.Tanh(argX) * Math.Tanh(argY)) );
        Console.WriteLine(
            "                       Math.Tanh({0}) == {1:E16}",
            argX + argY, Math.Tanh(argX + argY));
    }
}

/*
This example of hyperbolic Math.Tanh( double )
generates the following output.

Evaluate these hyperbolic identities with selected values for X:
   tanh(X) == sinh(X) / cosh(X)
   tanh(2 * X) == 2 * tanh(X) / (1 + tanh^2(X))

                       Math.Tanh(0.1) == 9.9667994624955819E-002
      Math.Sinh(0.1) / Math.Cosh(0.1) == 9.9667994624955819E-002
                   2 * Math.Tanh(0.1) /
             (1 + (Math.Tanh(0.1))^2) == 1.9737532022490401E-001
                       Math.Tanh(0.2) == 1.9737532022490401E-001

                       Math.Tanh(1.2) == 8.3365460701215521E-001
      Math.Sinh(1.2) / Math.Cosh(1.2) == 8.3365460701215521E-001
                   2 * Math.Tanh(1.2) /
             (1 + (Math.Tanh(1.2))^2) == 9.8367485769368024E-001
                       Math.Tanh(2.4) == 9.8367485769368024E-001

                       Math.Tanh(4.9) == 9.9988910295055444E-001
      Math.Sinh(4.9) / Math.Cosh(4.9) == 9.9988910295055433E-001
                   2 * Math.Tanh(4.9) /
             (1 + (Math.Tanh(4.9))^2) == 9.9999999385024030E-001
                       Math.Tanh(9.8) == 9.9999999385024030E-001

Evaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
with selected values for X and Y:

    (Math.Tanh(0.1) + Math.Tanh(1.2)) /
(1 + Math.Tanh(0.1) * Math.Tanh(1.2)) == 8.6172315931330645E-001
                       Math.Tanh(1.3) == 8.6172315931330634E-001

    (Math.Tanh(1.2) + Math.Tanh(4.9)) /
(1 + Math.Tanh(1.2) * Math.Tanh(4.9)) == 9.9998993913939649E-001
                       Math.Tanh(6.1) == 9.9998993913939649E-001
*/

// Example for the hyperbolic Math.Tanh( double ) method.
// In F#, the tanh function may be used instead 
open System

// Evaluate hyperbolic identities with a given argument.
let useTanh arg =
    let tanhArg = Math.Tanh arg

    // Evaluate tanh(X) = sinh(X) / cosh(X).
    printfn $"""
                       Math.Tanh({arg}) = {tanhArg:E16}
      Math.Sinh({arg}) / Math.Cosh({arg}) = {Math.Sinh arg / Math.Cosh arg:E16}"""

    // Evaluate tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X)).
    printfn $"                   2 * Math.Tanh({arg}) / {2. * tanhArg}"
    printfn $"             (1 + (Math.Tanh({arg}))^2) = {2. * tanhArg / (1. + tanhArg * tanhArg):E16}"
    printfn $"                       Math.Tanh({2. * arg}) = {Math.Tanh(2. * arg):E16}"

// Evaluate a hyperbolic identity that is a function of two arguments.
let useTwoArgs argX argY =
    // Evaluate tanh(X + Y) = (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
    printfn $"\n    (Math.Tanh({argX}) + Math.Tanh({argY})) /\n(1 + Math.Tanh({argX}) * Math.Tanh({argY})) = {(Math.Tanh argX + Math.Tanh argY) / (1. + Math.Tanh argX * Math.Tanh argY):E16}"
    printfn $"                       Math.Tanh({argX + argY}) = {Math.Tanh(argX + argY):E16}"

printfn "This example of hyperbolic Math.Tanh( double )\ngenerates the following output."
printfn "\nEvaluate these hyperbolic identities with selected values for X:"
printfn "   tanh(X) = sinh(X) / cosh(X)"
printfn "   tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))"

useTanh 0.1
useTanh 1.2
useTanh 4.9

printfn "\nEvaluate [tanh(X + Y) = (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]\nwith selected values for X and Y:"

useTwoArgs 0.1 1.2
useTwoArgs 1.2 4.9


// This example of hyperbolic Math.Tanh( double )
// generates the following output.
//
// Evaluate these hyperbolic identities with selected values for X:
//    tanh(X) = sinh(X) / cosh(X)
//    tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))
//
//                        Math.Tanh(0.1) = 9.9667994624955819E-002
//       Math.Sinh(0.1) / Math.Cosh(0.1) = 9.9667994624955819E-002
//                    2 * Math.Tanh(0.1) /
//              (1 + (Math.Tanh(0.1))^2) = 1.9737532022490401E-001
//                        Math.Tanh(0.2) = 1.9737532022490401E-001
//
//                        Math.Tanh(1.2) = 8.3365460701215521E-001
//       Math.Sinh(1.2) / Math.Cosh(1.2) = 8.3365460701215521E-001
//                    2 * Math.Tanh(1.2) /
//              (1 + (Math.Tanh(1.2))^2) = 9.8367485769368024E-001
//                        Math.Tanh(2.4) = 9.8367485769368024E-001
//
//                        Math.Tanh(4.9) = 9.9988910295055444E-001
//       Math.Sinh(4.9) / Math.Cosh(4.9) = 9.9988910295055433E-001
//                    2 * Math.Tanh(4.9) /
//              (1 + (Math.Tanh(4.9))^2) = 9.9999999385024030E-001
//                        Math.Tanh(9.8) = 9.9999999385024030E-001
//
// Evaluate [tanh(X + Y) = (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
// with selected values for X and Y:
//
//     (Math.Tanh(0.1) + Math.Tanh(1.2)) /
// (1 + Math.Tanh(0.1) * Math.Tanh(1.2)) = 8.6172315931330645E-001
//                        Math.Tanh(1.3) = 8.6172315931330634E-001
//
//     (Math.Tanh(1.2) + Math.Tanh(4.9)) /
// (1 + Math.Tanh(1.2) * Math.Tanh(4.9)) = 9.9998993913939649E-001
//                        Math.Tanh(6.1) = 9.9998993913939649E-001

' Example for the hyperbolic Math.Tanh( Double ) method.
Module DemoTanh
   
    Sub Main()
        Console.WriteLine( _
            "This example of hyperbolic Math.Tanh( Double )" & _
            vbCrLf & "generates the following output.")
        Console.WriteLine( _
            vbCrLf & "Evaluate these hyperbolic " & _
            "identities with selected values for X:")
        Console.WriteLine("   tanh(X) = sinh(X) / cosh(X)")
        Console.WriteLine("   tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))")
          
        UseTanh(0.1)
        UseTanh(1.2)
        UseTanh(4.9)
          
        Console.WriteLine( _
            vbCrLf & "Evaluate [tanh(X + Y) == (tanh(X) + " & _
            "tanh(Y)) / (1 + tanh(X) * tanh(Y))]" & _
            vbCrLf & "with selected values for X and Y:")

        UseTwoArgs(0.1, 1.2)
        UseTwoArgs(1.2, 4.9)
    End Sub
       
    ' Evaluate hyperbolic identities with a given argument.
    Sub UseTanh(arg As Double)
        Dim tanhArg As Double = Math.Tanh(arg)
          
        ' Evaluate tanh(X) = sinh(X) / cosh(X).
        Console.WriteLine( _
            vbCrLf & "                       Math.Tanh({0}) = {1:E16}" & _
            vbCrLf & "      Math.Sinh({0}) / Math.Cosh({0}) = {2:E16}", _
            arg, tanhArg, Math.Sinh(arg) / Math.Cosh(arg))
          
        ' Evaluate tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X)).
        Console.WriteLine( _
            "                   2 * Math.Tanh({0}) /", _
            arg, 2.0 * tanhArg)
        Console.WriteLine( _
            "             (1 + (Math.Tanh({0}))^2) = {1:E16}", _
            arg, 2.0 * tanhArg /(1.0 + tanhArg * tanhArg))
        Console.WriteLine( _
            "                       Math.Tanh({0}) = {1:E16}", _
            2.0 * arg, Math.Tanh((2.0 * arg)))
    End Sub
       
    ' Evaluate a hyperbolic identity that is a function of two arguments.
    Sub UseTwoArgs(argX As Double, argY As Double)

        ' Evaluate tanh(X + Y) = (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y)).
        Console.WriteLine( _
            vbCrLf & "    (Math.Tanh({0}) + Math.Tanh({1})) /" & _
            vbCrLf & "(1 + Math.Tanh({0}) * Math.Tanh({1})) = {2:E16}", _
            argX, argY, (Math.Tanh(argX) + Math.Tanh(argY)) / _
            (1.0 + Math.Tanh(argX) * Math.Tanh(argY)))
        Console.WriteLine( _
            "                       Math.Tanh({0}) = {1:E16}", _
            argX + argY, Math.Tanh(argX + argY))

    End Sub
End Module 'DemoTanh

' This example of hyperbolic Math.Tanh( Double )
' generates the following output.
' 
' Evaluate these hyperbolic identities with selected values for X:
'    tanh(X) = sinh(X) / cosh(X)
'    tanh(2 * X) = 2 * tanh(X) / (1 + tanh^2(X))
' 
'                        Math.Tanh(0.1) = 9.9667994624955819E-002
'       Math.Sinh(0.1) / Math.Cosh(0.1) = 9.9667994624955819E-002
'                    2 * Math.Tanh(0.1) /
'              (1 + (Math.Tanh(0.1))^2) = 1.9737532022490401E-001
'                        Math.Tanh(0.2) = 1.9737532022490401E-001
' 
'                        Math.Tanh(1.2) = 8.3365460701215521E-001
'       Math.Sinh(1.2) / Math.Cosh(1.2) = 8.3365460701215521E-001
'                    2 * Math.Tanh(1.2) /
'              (1 + (Math.Tanh(1.2))^2) = 9.8367485769368024E-001
'                        Math.Tanh(2.4) = 9.8367485769368024E-001
' 
'                        Math.Tanh(4.9) = 9.9988910295055444E-001
'       Math.Sinh(4.9) / Math.Cosh(4.9) = 9.9988910295055433E-001
'                    2 * Math.Tanh(4.9) /
'              (1 + (Math.Tanh(4.9))^2) = 9.9999999385024030E-001
'                        Math.Tanh(9.8) = 9.9999999385024030E-001
' 
' Evaluate [tanh(X + Y) == (tanh(X) + tanh(Y)) / (1 + tanh(X) * tanh(Y))]
' with selected values for X and Y:
' 
'     (Math.Tanh(0.1) + Math.Tanh(1.2)) /
' (1 + Math.Tanh(0.1) * Math.Tanh(1.2)) = 8.6172315931330645E-001
'                        Math.Tanh(1.3) = 8.6172315931330634E-001
' 
'     (Math.Tanh(1.2) + Math.Tanh(4.9)) /
' (1 + Math.Tanh(1.2) * Math.Tanh(4.9)) = 9.9998993913939649E-001
'                        Math.Tanh(6.1) = 9.9998993913939649E-001

Opmerkingen

De hoek, valuemoet in radialen staan. Vermenigvuldig met Math.PI/180 om graden te converteren naar radialen.

Deze methode roept de onderliggende C-runtime aan en het exacte resultaat of geldige invoerbereik kan verschillen tussen verschillende besturingssystemen of architecturen.

Van toepassing op

Feedback

Is deze pagina nuttig?