bie.f

      FUNCTION BIE (X)
C***BEGIN PROLOGUE  BIE
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      SINGLE PRECISION (BIE-S, DBIE-D)
C***KEYWORDS  BAIRY FUNCTION, EXPONENTIALLY SCALED, FNLIB,
C             SPECIAL FUNCTIONS
C***AUTHOR  Fullerton, W., (LANL)
C***DESCRIPTION
C
C Evaluate BI(X) for X .LE. 0  and  BI(X)*EXP(ZETA)  where
C ZETA = 2/3 * X**(3/2)  for X .GE. 0.0
C
C Series for BIF        on the interval -1.00000D+00 to  1.00000D+00
C                                        with weighted error   1.88E-19
C                                         log weighted error  18.72
C                               significant figures required  17.74
C                                    decimal places required  19.20
C
C Series for BIG        on the interval -1.00000D+00 to  1.00000D+00
C                                        with weighted error   2.61E-17
C                                         log weighted error  16.58
C                               significant figures required  15.17
C                                    decimal places required  17.03
C
C Series for BIF2       on the interval  1.00000D+00 to  8.00000D+00
C                                        with weighted error   1.11E-17
C                                         log weighted error  16.95
C                        approx significant figures required  16.5
C                                    decimal places required  17.45
C
C Series for BIG2       on the interval  1.00000D+00 to  8.00000D+00
C                                        with weighted error   1.19E-18
C                                         log weighted error  17.92
C                        approx significant figures required  17.2
C                                    decimal places required  18.42
C
C Series for BIP        on the interval  1.25000D-01 to  3.53553D-01
C                                        with weighted error   1.91E-17
C                                         log weighted error  16.72
C                               significant figures required  15.35
C                                    decimal places required  17.41
C
C Series for BIP2       on the interval  0.          to  1.25000D-01
C                                        with weighted error   1.05E-18
C                                         log weighted error  17.98
C                               significant figures required  16.74
C                                    decimal places required  18.71
C
C***REFERENCES  (NONE)
C***ROUTINES CALLED  CSEVL, INITS, R1MACH, R9AIMP
C***REVISION HISTORY  (YYMMDD)
C   770701  DATE WRITTEN
C   890206  REVISION DATE from Version 3.2
C   891214  Prologue converted to Version 4.0 format.  (BAB)
C***END PROLOGUE  BIE