s17agf
s17agf
© Numerical Algorithms Group, 2002.
Purpose
S17AGF Airy function Ai(x)
Synopsis
[fun_value,ifail] = s17agf(x<,ifail>)
Description
This routine evaluates an approximation to the Airy function,
Ai(x).
For large negative arguments, it becomes impossible to calculate
the phase of the oscillatory function with any precision and so
2/3
( 3 )
the routine must fail. This occurs if x<-( ----------) , where
( 2(epsilon))
(epsilon) is the machine precision.
For large positive arguments, where Ai decays in an essentially
exponential manner, there is a danger of underflow so the routine
must fail.
Parameters
s17agf
Required Input Arguments:
x real
Optional Input Arguments: <Default>
ifail integer -1
Output Arguments:
ifail integer