*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