 
      DOUBLE PRECISION FUNCTION DLNREL(X)
C***BEGIN PROLOGUE  DLNREL
C***DATE WRITTEN   770601   (YYMMDD)
C***REVISION DATE  820801   (YYMMDD)
C***CATEGORY NO.  C4B
C***KEYWORDS  DOUBLE PRECISION,ELEMENTARY FUNCTION,LOGARITHM,
C             RELATIVE ERROR
C***AUTHOR  FULLERTON, W., (LANL)
C***PURPOSE  Evaluates d.p. LN(1+X) accurate in the relative error sense
C***DESCRIPTION
C
C DLNREL(X) calculates the double precision natural logarithm of
C (1.0+X) for double precision argument X.  This routine should
C be used when X is small and accurate to calculate the logarithm
C accurately (in the relative error sense) in the neighborhood
C of 1.0.
C
C Series for ALNR       on the interval -3.75000E-01 to  3.75000E-01
C                                        with weighted error   6.35E-32
C                                         log weighted error  31.20
C                               significant figures required  30.93
C                                    decimal places required  32.01
C***REFERENCES  (NONE)
C***ROUTINES CALLED  D1MACH,DCSEVL,INITDS,XERROR
C***END PROLOGUE  DLNREL
 
 
