lgamma
From cppreference.com
                    
                                        
                    
                    
                                                            
                    | Defined in header <math.h>
  | ||
| float       lgammaf( float arg ); | (since C99) | |
| double      lgamma( double arg ); | (since C99) | |
| long double lgammal( long double arg ); | (since C99) | |
Computes the natural logarithm of the absolute value of the gamma function of arg.
| Contents | 
[edit] Parameters
| arg | - | floating point value | 
[edit] Return value
The value of the logarithm of the gamma function of arg, that is log
e|∫∞
0targ-1
 e-t dt|.
If arg is a natural number, lgamma(arg) is the logarithm of the factorial of arg-1.
[edit] Exceptions
If arg is zero or a negative integer, pole error may occur and FE_INVALID or FE_DIVBYZERO may be raised.
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
[edit] Notes
POSIX specification additionally requires that each execution of lgamma stores the sign of the gamma function of arg in the external variable signgam.
[edit] See also
| (C99) | gamma function (function) | 
[edit] External links
Weisstein, Eric W. "Log Gamma Function." From MathWorld--A Wolfram Web Resource.