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lgamma

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Gemeinsame mathematischen Funktionen
Funktionen
Original:
Functions
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Grundlegende Bedienung
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Basic operations
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remainder(C99)
remquo(C99)
fma(C99)
fmax(C99)
fmin(C99)
fdim(C99)
nan
nanf
nanl
(C99)
(C99)
(C99)
Exponentialfunktionen
Original:
Exponential functions
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exp
exp2(C99)
expm1(C99)
log
log10
log1p(C99)
log2(C99)
Power-Funktionen
Original:
Power functions
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sqrt
cbrt(C99)
hypot(C99)
pow
Trigonometrische und hyperbolische Funktionen
Original:
Trigonometric and hyperbolic functions
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sinh
cosh
tanh
asinh(C99)
acosh(C99)
atanh(C99)
Fehler-und Gamma-Funktionen
Original:
Error and gamma functions
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erf(C99)
erfc(C99)
lgamma(C99)
tgamma(C99)
Nächste ganze Zahl Fließkomma-Operationen
Original:
Nearest integer floating point operations
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ceil
floor
round
lround
llround
(C99)
(C99)
(C99)
trunc(C99)
nearbyint(C99)
rint
lrint
llrint
(C99)
(C99)
(C99)
Floating-Point-Manipulation Funktionen
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Floating point manipulation functions
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ldexp
scalbn
scalbln
(C99)
(C99)
ilogb(C99)
logb(C99)
Klassifizierung
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Classification
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fpclassify(C99)
isfinite(C99)
isinf(C99)
isnan(C99)
isnormal(C99)
signbit(C99)
Makro Konstanten
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Macro constants
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Defined in header <math.h>
float       lgammaf( float arg );
double      lgamma( double arg );
long double lgammal( long double arg );
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 lgamma(arg) der Logarithmus der Fakultät arg-1 .
Original:
If arg is a natural number, 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

(C99)
Gamma-Funktion
Original:
gamma function
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(Funktion) [edit]

[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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