/usr/include/airyf.h is in libalglib-dev 2.6.0-3.
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Cephes Math Library Release 2.8: June, 2000
Copyright by Stephen L. Moshier
Contributors:
* Sergey Bochkanov (ALGLIB project). Translation from C to
pseudocode.
See subroutines comments for additional copyrights.
>>> SOURCE LICENSE >>>
This program is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation (www.fsf.org); either version 2 of the
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This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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*************************************************************************/
#ifndef _airyf_h
#define _airyf_h
#include "ap.h"
#include "ialglib.h"
/*************************************************************************
Airy function
Solution of the differential equation
y"(x) = xy.
The function returns the two independent solutions Ai, Bi
and their first derivatives Ai'(x), Bi'(x).
Evaluation is by power series summation for small x,
by rational minimax approximations for large x.
ACCURACY:
Error criterion is absolute when function <= 1, relative
when function > 1, except * denotes relative error criterion.
For large negative x, the absolute error increases as x^1.5.
For large positive x, the relative error increases as x^1.5.
Arithmetic domain function # trials peak rms
IEEE -10, 0 Ai 10000 1.6e-15 2.7e-16
IEEE 0, 10 Ai 10000 2.3e-14* 1.8e-15*
IEEE -10, 0 Ai' 10000 4.6e-15 7.6e-16
IEEE 0, 10 Ai' 10000 1.8e-14* 1.5e-15*
IEEE -10, 10 Bi 30000 4.2e-15 5.3e-16
IEEE -10, 10 Bi' 30000 4.9e-15 7.3e-16
Cephes Math Library Release 2.8: June, 2000
Copyright 1984, 1987, 1989, 2000 by Stephen L. Moshier
*************************************************************************/
void airy(double x, double& ai, double& aip, double& bi, double& bip);
#endif
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