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lgamma(3)

NAME

lgamma, gamma - Compute the logarithm of the gamma function

SYNOPSIS

#include <math.h> double lgamma( double x ); float lgammaf( float x ); long double lgammal( long double x );

LIBRARY

Math Library (libm)

STANDARDS

Interfaces documented on this reference page conform to industry standards as follows: lgamma(): XPG4 gamma(): XPG4 Refer to the standards(5) reference page for more information about industry standards and associated tags.

DESCRIPTION

The lgamma(), lgammaf(), and lgammal() functions return the logarithm of the absolute value of gamma of x, or ln(|G(x)|), where G is the gamma function. The sign of gamma of x is returned in the external integer variable signgam. The x parameter cannot be 0 or a negative integer. The gamma() function returns the natural log of the gamma function and so is functionally equivalent to lgamma(). Because of this, gamma() is marked TO BE WITHDRAWN in the X/Open Portability Guide, Revision 4 (XPG4). The following table describes function behavior in response to exceptional arguments: ___________________________________________________________________________ Function Exceptional Argument Routine Behavior ___________________________________________________________________________ |x| = infinity Invalid argument lgamma(), lgammaf(), lgamma() x = 0, -1, -2, -3,... Invalid argument lgamma(), lgammaf(), lgamma() Overflow lgamma(), lgammaf(), lgamma() x > lgamma_max_float ___________________________________________________________________________ The following table lists boundary values used by these functions: _________________________________________________________________________ Value Name Data Type Hexadecimal Value Decimal Value _________________________________________________________________________ lgamma_max_float S_FLOAT 7BC650F9 2.0594342e36 T_FLOAT 7F475ABDC501F55F 1.2812545499066958e305 _________________________________________________________________________

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