asinh

(PHP 4 >= 4.1.0, PHP 5, PHP 7, PHP 8)

asinh — Areasinus hyperbolikus

Beschreibung

asinh(float $num): float

Berechnet den Areasinus hyperbolikus von num. Der Areasinus hyperbolikus ist die Umkehrfunktion des Sinus hyperbolikus, d.h. asinh(sinh(num)) = num.

Parameter-Liste

num: Der zu verarbeitende Wert.

Rückgabewerte

Der Areasinus hyperbolikus von num.

Siehe auch

sinh() - Sinus hyperbolikus
asin() - Arkussinus
acosh() - Areakosinus hyperbolikus
atanh() - Areatangens hyperbolikus

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User Contributed Notes 2 notes

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-1

ape_cwb at yahoo dot com dot br ¶

17 years ago

The correct implementation of asinh(x) for Windows plataform is:

-------------------------------------------------------
function asinh($x)
{
        return ln($x + sqrt(1 + pow($x, 2)));
}

function ln($x)
{
     return $x = log($x)/log(M_E);
}
--------------------------------------------------------

The worksheet above includes a comparation about the native asinh(x) and the implemented version using LN and LOG (like Snoyes posted on 27-Dec-2005 07:42) 

http://www.mavadesign.com.br/allan/asinh(x).xls

This implementation using LN, give THE SAME results that function asinh(x) linux native.

Allan Patrick Engel
Curitiba - Paraná - Brasil

down

-3

snoyes at gmail dot com ¶

18 years ago

asinh for windows:

The definition for asinh is asinh(z) = log(z + sqrt(z^2 + 1))

The built-in math functions and operators give poor results for small values of z.  The BCMath version produces closer results, but still quite distant if z < 1.  A BCMath version of the log function might help.

if (!function_exists("asinh")) {
    function asinh($z) {
      return log($z + sqrt($z^2 +1));
    }
}

if (!function_exists("bcasinh")) {
    function bcasinh($z) {
      return log(bcadd($z, bcsqrt(bcadd(bcpow($z, 2), 1))));
    }
}

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