DAIE(3)

SYNOPSIS
DOUBLE PRECISION FUNCTION DAIE (X)

NAME
daie - Calculate the Airy function for a negative argument and an exponentially scaled Airy function for a non-negative argument.

LIBRARY
SLATEC (FNLIB)

CATEGORY
C10D

TYPE
DOUBLE PRECISION (AIE-S, DAIE-D)

KEYWORDS
EXPONENTIALLY SCALED AIRY FUNCTION, FNLIB, SPECIAL FUNCTIONS

AUTHOR
Fullerton, W., (LANL)

DESCRIPTION
DAIE(X) calculates the Airy function or the exponentially scaled Airy function depending on the value of the argument. The function and argument are both double precision. Evaluate AI(X) for X .LE. 0.0 and AI(X)*EXP(ZETA) where ZETA = 2/3 * X**(3/2) for X .GE. 0.0 Series for AIF on the interval -1.00000E+00 to 1.00000E+00 with weighted error 8.37E-33 log weighted error 32.08 significant figures required 30.87 decimal places required 32.63 Series for AIG on the interval -1.00000E+00 to 1.00000E+00 with weighted error 7.47E-34 log weighted error 33.13 significant figures required 31.50 decimal places required 33.68 Series for AIP1 on the interval 1.25000E-01 to 1.00000E+00 with weighted error 3.69E-32 log weighted error 31.43 significant figures required 29.55 decimal places required 32.31 Series for AIP2 on the interval 0. to 1.25000E-01 with weighted error 3.48E-32 log weighted error 31.46 significant figures required 28.74 decimal places required 32.24

REFERENCES
(NONE)

ROUTINES CALLED
D1MACH, D9AIMP, DCSEVL, INITDS

REVISION HISTORY (YYMMDD)
770701 DATE WRITTEN
890531 Changed all specific intrinsics to generic. (WRB)
890531 REVISION DATE from Version 3.2
891214 Prologue converted to Version 4.0 format. (BAB)
920618 Removed space from variable names. (RWC, WRB)