dbie.f
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