SLATEC Routines --- C9LGMC ---


*DECK C9LGMC
      COMPLEX FUNCTION C9LGMC (ZIN)
C***BEGIN PROLOGUE  C9LGMC
C***SUBSIDIARY
C***PURPOSE  Compute the log gamma correction factor so that
C            LOG(CGAMMA(Z)) = 0.5*LOG(2.*PI) + (Z-0.5)*LOG(Z) - Z
C            + C9LGMC(Z).
C***LIBRARY   SLATEC (FNLIB)
C***CATEGORY  C7A
C***TYPE      COMPLEX (R9LGMC-S, D9LGMC-D, C9LGMC-C)
C***KEYWORDS  COMPLETE GAMMA FUNCTION, CORRECTION TERM, FNLIB,
C             LOG GAMMA, LOGARITHM, SPECIAL FUNCTIONS
C***AUTHOR  Fullerton, W., (LANL)
C***DESCRIPTION
C
C Compute the LOG GAMMA correction term for large ABS(Z) when REAL(Z)
C .GE. 0.0 and for large ABS(AIMAG(Y)) when REAL(Z) .LT. 0.0.  We find
C C9LGMC so that
C   LOG(Z) = 0.5*LOG(2.*PI) + (Z-0.5)*LOG(Z) - Z + C9LGMC(Z)
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  R1MACH, XERMSG
C***REVISION HISTORY  (YYMMDD)
C   780401  DATE WRITTEN
C   890531  Changed all specific intrinsics to generic.  (WRB)
C   890531  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C   900315  CALLs to XERROR changed to CALLs to XERMSG.  (THJ)
C   900326  Removed duplicate information from DESCRIPTION section.
C           (WRB)
C   900720  Routine changed from user-callable to subsidiary.  (WRB)
C***END PROLOGUE  C9LGMC