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std::lgamma

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Defined in header <cmath>
float       lgamma( float arg );
(seit C++11)
double      lgamma( double arg );
(seit C++11)
long double lgamma( long double arg );
(seit C++11)
double      lgamma( Integral arg );
(seit C++11)
Berechnet den natürlichen Logarithmus des absoluten Wertes des Gamma-Funktion von arg .
Original:
Computes the natural logarithm of the absolute value of the Gamma-Funktion of arg.
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Inhaltsverzeichnis

[Bearbeiten] Parameter

arg -
Floating-Point-Wert
Original:
floating point value
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[Bearbeiten] Rückgabewert

Der Wert des Logarithmus der Gammafunktion arg, das heißt log
e
|
0
targ-1
e-t dt|
.
Original:
The value of the logarithm of the gamma function of arg, that is log
e
|
0
targ-1
e-t dt|
.
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Wenn arg eine natürliche Zahl ist, ist std::lgamma(arg) der Logarithmus der Fakultät arg-1 .
Original:
If arg is a natural number, std::lgamma(arg) is the logarithm of the factorial of arg-1.
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[Bearbeiten] Ausnahmen

Wenn arg Null oder eine negative ganze Zahl ist, kann pole Fehler auftreten und FE_INVALID oder FE_DIVBYZERO angehoben werden kann .
Original:
If arg is zero or a negative integer, pole error may occur and FE_INVALID or FE_DIVBYZERO may be raised.
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Wenn arg zu groß ist, können die Reichweite Fehler auftreten und FE_OVERFLOW angehoben werden kann .
Original:
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
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[Bearbeiten] Notes

POSIX specification zusätzlich erfordert, dass jede Ausführung des lgamma das Vorzeichen der Gammafunktion arg in der externen Variable speichert signgam .
Original:
POSIX specification additionally requires that each execution of lgamma stores the sign of the gamma function of arg in the external variable signgam.
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[Bearbeiten] Siehe auch

(C++11)
Gamma-Funktion
Original:
gamma function
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(Funktion) [edit]
C documentation for lgamma

[Bearbeiten] Externer Links

Weisstein, Eric W. "Log Gamma Function." Von MathWorld - A Wolfram Web Resource .
Original:
Weisstein, Eric W. "Log Gamma Function." From MathWorld--A Wolfram Web Resource.
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