# aie.f

          FUNCTION AIE (X)
    C***BEGIN PROLOGUE  AIE
    C***PURPOSE  Calculate the Airy function for a negative argument and an
    C            exponentially scaled Airy function for a non-negative
    C            argument.
    C***LIBRARY   SLATEC (FNLIB)
    C***CATEGORY  C10D
    C***TYPE      SINGLE PRECISION (AIE-S, DAIE-D)
    C***KEYWORDS  EXPONENTIALLY SCALED AIRY FUNCTION, FNLIB,
    C             SPECIAL FUNCTIONS
    C***AUTHOR  Fullerton, W., (LANL)
    C***DESCRIPTION
    C
    C AIE(X) computes the exponentially scaled Airy function for
    C non-negative X.  It evaluates AI(X) for X .LE. 0.0 and
    C EXP(ZETA)*AI(X) for X .GE. 0.0 where ZETA = (2.0/3.0)*(X**1.5).
    C
    C Series for AIF        on the interval -1.00000D+00 to  1.00000D+00
    C                                        with weighted error   1.09E-19
    C                                         log weighted error  18.96
    C                               significant figures required  17.76
    C                                    decimal places required  19.44
    C
    C Series for AIG        on the interval -1.00000D+00 to  1.00000D+00
    C                                        with weighted error   1.51E-17
    C                                         log weighted error  16.82
    C                               significant figures required  15.19
    C                                    decimal places required  17.27
    C
    C Series for AIP        on the interval  0.          to  1.00000D+00
    C                                        with weighted error   5.10E-17
    C                                         log weighted error  16.29
    C                               significant figures required  14.41
    C                                    decimal places required  17.06
    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   920618  Removed space from variable names.  (RWC, WRB)
    C***END PROLOGUE  AIE