LGAMMA(3) BSD Library Functions Manual LGAMMA(3)[top]NAMElgammagamma — log gamma function, gamma functionSYNOPSIS#include <math.h> extern int signgam; double lgamma(double x); double gamma(double x);DESCRIPTIONLgamma(x) returns ln|Γ(x)|. The external integer signgam returns the sign of Γ(x). Gamma(x) returns Γ(x), with no effect on signgam.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() has returned can signgam be correct. For arguments in its range, gamma() 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() and lgamma() return appropriate values unless an argument is out of range. Overflow will occur for sufficiently large positive values, and non-positive integers. On the VAX, the reserved operator is returned, and errno is set to ERANGE For large non-integer negative val‐ ues, gamma() will underflow.SEE ALSOmath(3), infnan(3)HISTORYThelgammafunction appeared in 4.3BSD. The gamma function appeared in 4.4BSD. The name gamma() was originally dedicated to the lgamma() func‐ tion, so some old code may no longer be compatible.4.3 Berkeley Distribution December 11, 1993 4.3 Berkeley Distribution

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