Math.Tanh(Double) Metod

Definition

Namnområde:: System

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

Sammansättningar:: netstandard.dll, System.Runtime.dll

Sammansättning:: System.Runtime.Extensions.dll

Sammansättning:: mscorlib.dll

Sammansättning:: netstandard.dll

Källa:: Math.cs

Källa:: Math.cs

Källa:: Math.cs

Källa:: Math.cs

Källa:: Math.cs

Viktigt

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Returnerar den angivna vinkelns hyperboliska tangens.

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

Parametrar

value: Double

En vinkel, mätt i radianer.

Returer

Double

Den hyperboliska tangensen av value. Om value är lika med NegativeInfinityreturnerar den här metoden -1. Om värdet är lika med PositiveInfinityreturnerar den här metoden 1. Om value är lika med NaNreturnerar NaNden här metoden .

Exempel

I följande exempel används Tanh för att utvärdera vissa hyperboliska tangentidentiteter för valda värden.

// 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

Kommentarer

Vinkeln, value, måste finnas i radianer. Math.PIMultiplicera med /180 för att konvertera grader till radianer.

Den här metoden anropar den underliggande C-körningen och det exakta resultatet eller det giltiga indataintervallet kan skilja sig mellan olika operativsystem eller arkitekturer.

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