LGAMMA(3) BSD Library Functions Manual LGAMMA(3)[top]NAMElgamma, lgamma_r, lgammaf, lgammaf_r, gamma, gamma_r, gammaf, gammaf_r, tgamma,tgammaf— log gamma functions, gamma functionLIBRARYMath Library (libm, -lm)SYNOPSIS#include <math.h> extern int signgam; double lgamma(double x); double lgamma_r(double x, int *signgamp); float lgammaf(float x); float lgammaf_r(float x, int *signgamp); double gamma(double x); double gamma_r(double x, int *signgamp); float gammaf(float x); float gammaf_r(float x, int *signgamp); double tgamma(double x); float tgammaf(float x);DESCRIPTIONlgamma(x) and lgammaf(x) return ln|Γ(x)|. The external integer signgam returns the sign of Γ(x). lgamma_r(x, signgamp) and lgammaf_r(x, signgamp) provide the same func‐ tionality as lgamma(x) and lgammaf(x) but the caller must provide an integer to store the sign of Γ(x). The tgamma(x) and tgammaf(x) functions return Γ(x), with no effect on signgam. gamma(), gammaf(), gamma_r(), and gammaf_r() are deprecated aliases for lgamma(), lgammaf(), lgamma_r(), and lgammaf_r(), respectively.IDIOSYNCRASIESDo not use the expression “signgam∗exp(lgamma(x))” to compute g := Γ(x). Instead use a program like this (in C): lg = lgamma(x); g = signgam∗exp(lg); Only after lgamma() or lgammaf() has returned can signgam be correct. For arguments in its range, tgamma() is preferred, as for positive argu‐ ments it is accurate to within one unit in the last place. Exponentia‐ tion of lgamma() will lose up to 10 significant bits.RETURN VALUESgamma(), gamma_r(), gammaf(), gammaf_r(), lgamma(), lgamma_r(), lgammaf(), and lgammaf_r() return appropriate values unless an argument is out of range. Overflow will occur for sufficiently large positive values, and non-positive integers. For large non-integer negative val‐ ues, tgamma() will underflow.SEE ALSOmath(3)STANDARDSThe lgamma(), lgammaf(), tgamma(), and tgammaf() functions are expected to conform to ISO/IEC 9899:1999 (“ISO C99”).HISTORYThe lgamma() function appeared in 4.3BSD. The gamma() function appeared in 4.4BSD as a function which computed Γ(x). This version was used in FreeBSD 1.1. The name gamma() was originally dedicated to the lgamma() function, and that usage was restored by switching to Sun's fdlibm in FreeBSD 1.1.5. The tgamma() function appeared in FreeBSD 5.0.BSDJanuary 14, 2005 BSD

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