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TGAMMA(3)                  Linux Programmer's Manual                 TGAMMA(3)



NAME
       tgamma, tgammaf, tgammal - true gamma function

SYNOPSIS
       #include <&lt;math.h>&gt;

       double tgamma(double x);
       float tgammaf(float x);
       long double tgammal(long double x);

       Link with -lm.

   Feature Test Macro Requirements for glibc (see feature_test_macros(7)):

       tgamma(), tgammaf(), tgammal(): _XOPEN_SOURCE >= 600 || _ISOC99_SOURCE;
       or cc -std=c99

DESCRIPTION
       The Gamma function is defined by

        Gamma(x) = integral from 0 to infinity of t^(x-1) e^-t dt

       It is defined for every real number except for  non-positive  integers.
       For non-negative integral m one has

        Gamma(m+1) = m!

       and, more generally, for all x:

        Gamma(x+1) = x * Gamma(x)

       Furthermore,  the  following  is  valid for all values of x outside the
       poles:

        Gamma(x) * Gamma(1 - x) = PI / sin(PI * x)

       This function returns the value of the Gamma function for the  argument
       x.   It had to be called "true gamma function" since there is already a
       function gamma(3) that returns something else.

ERRORS
       In order to check for errors, set errno to  zero  and  call  feclearex-
       cept(FE_ALL_EXCEPT)  before  calling  these  functions.   On return, if
       errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO |  FE_OVER-
       FLOW | FE_UNDERFLOW) is non-zero, an error has occurred.

       A  range  error  occurs if x is too large.  A pole error occurs if x is
       zero.  A domain error (or a pole error) occurs if x is a negative inte-
       ger.

CONFORMING TO
       C99.

SEE ALSO
       gamma(3), lgamma(3)

COLOPHON
       This  page  is  part of release 3.05 of the Linux man-pages project.  A
       description of the project, and information about reporting  bugs,  can
       be found at http://www.kernel.org/doc/man-pages/.



GNU                               2007-07-26                         TGAMMA(3)