SLATEC Routines --- DBIE ---


*DECK DBIE
      DOUBLE PRECISION FUNCTION DBIE (X)
C***BEGIN PROLOGUE  DBIE
C***PURPOSE  Calculate the Bairy function for a negative argument and an
C            exponentially scaled Bairy function for a non-negative
C            argument.
C***LIBRARY   SLATEC (FNLIB)
C***CATEGORY  C10D
C***TYPE      DOUBLE PRECISION (BIE-S, DBIE-D)
C***KEYWORDS  BAIRY FUNCTION, EXPONENTIALLY SCALED, FNLIB,
C             SPECIAL FUNCTIONS
C***AUTHOR  Fullerton, W., (LANL)
C***DESCRIPTION
C
C DBIE(X) calculates the double precision Airy function of the
C second kind or the double precision exponentially scaled Airy
C function of the second kind, depending on the value of the
C double precision argument X.
C
C Evaluate BI(X) for X .LE. 0.0  and  BI(X)*EXP(-ZETA)  where
C ZETA = 2/3 * X**(3/2)  for X .GE. 0.0
C
C
C Series for BIF        on the interval -1.00000E+00 to  1.00000E+00
C                                        with weighted error   1.45E-32
C                                         log weighted error  31.84
C                               significant figures required  30.85
C                                    decimal places required  32.40
C
C
C Series for BIG        on the interval -1.00000E+00 to  1.00000E+00
C                                        with weighted error   1.29E-33
C                                         log weighted error  32.89
C                               significant figures required  31.48
C                                    decimal places required  33.45
C
C
C Series for BIF2       on the interval  1.00000E+00 to  8.00000E+00
C                                        with weighted error   6.08E-32
C                                         log weighted error  31.22
C                        approx significant figures required  30.8
C                                    decimal places required  31.80
C
C
C Series for BIG2       on the interval  1.00000E+00 to  8.00000E+00
C                                        with weighted error   4.91E-33
C                                         log weighted error  32.31
C                        approx significant figures required  31.6
C                                    decimal places required  32.90
C
C
C Series for BIP1       on the interval  1.25000E-01 to  3.53553E-01
C                                        with weighted error   1.06E-32
C                                         log weighted error  31.98
C                               significant figures required  30.61
C                                    decimal places required  32.81
C
C
C Series for BIP2       on the interval  0.          to  1.25000E-01
C                                        with weighted error   4.04E-33
C                                         log weighted error  32.39
C                               significant figures required  31.15
C                                    decimal places required  33.37
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  D1MACH, D9AIMP, DCSEVL, INITDS
C***REVISION HISTORY  (YYMMDD)
C   770701  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***END PROLOGUE  DBIE