Math.Tanh(Double) Yöntem
Tanım
Önemli
Bazı bilgiler ürünün ön sürümüyle ilgilidir ve sürüm öncesinde önemli değişiklikler yapılmış olabilir. Burada verilen bilgilerle ilgili olarak Microsoft açık veya zımni hiçbir garanti vermez.
Belirtilen açının hiperbolik tanjantını döndürür.
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
Parametreler
- value
- Double
Radyan cinsinden ölçülen bir açı.
Döndürülenler
hiperbolik tanjant.value
değerine eşitse value
NegativeInfinity, bu yöntem -1 döndürür. Değer değerine PositiveInfinityeşitse, bu yöntem 1 döndürür. değerine eşitse value
NaN, bu yöntem döndürür NaN.
Örnekler
Aşağıdaki örnek, seçilen değerler için belirli hiperbolik tanjant kimliklerini değerlendirmek için kullanır Tanh .
// Example for the hyperbolic Math::Tanh( double ) method.
using namespace System;
// Evaluate hyperbolic identities with a given argument.
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.
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 ) );
}
int 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 );
}
/*
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.
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
Açıklamalar
açısı, value
radyan cinsinden olmalıdır. Dereceleri radyana dönüştürmek için /180 ile Math.PIçarpın.
Bu yöntem, temel alınan C çalışma zamanını çağırır ve tam sonuç veya geçerli giriş aralığı farklı işletim sistemleri veya mimariler arasında farklılık gösterebilir.