mirror of
https://github.com/vale981/arb
synced 2025-03-04 17:01:40 -05:00
50 lines
1.2 KiB
C
50 lines
1.2 KiB
C
/*
|
|
Copyright (C) 2016 Fredrik Johansson
|
|
|
|
This file is part of Arb.
|
|
|
|
Arb is free software: you can redistribute it and/or modify it under
|
|
the terms of the GNU Lesser General Public License (LGPL) as published
|
|
by the Free Software Foundation; either version 2.1 of the License, or
|
|
(at your option) any later version. See <http://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
#include "acb_hypgeom.h"
|
|
|
|
static void
|
|
airy_recurrence(acb_ptr ai, const acb_t z, slong len, slong prec)
|
|
{
|
|
slong k;
|
|
|
|
if (len >= 3)
|
|
{
|
|
acb_mul(ai + 2, ai, z, prec);
|
|
acb_mul_2exp_si(ai + 2, ai + 2, -1);
|
|
}
|
|
|
|
for (k = 3; k < len; k++)
|
|
{
|
|
acb_mul(ai + k, ai + k - 2, z, prec);
|
|
acb_add(ai + k, ai + k, ai + k - 3, prec);
|
|
acb_div_ui(ai + k, ai + k, k * (k - 1), prec);
|
|
}
|
|
}
|
|
|
|
void
|
|
acb_hypgeom_airy_jet(acb_ptr ai, acb_ptr bi, const acb_t z, slong len, slong prec)
|
|
{
|
|
if (len <= 0)
|
|
return;
|
|
|
|
if (len == 1)
|
|
{
|
|
acb_hypgeom_airy(ai, NULL, bi, NULL, z, prec);
|
|
return;
|
|
}
|
|
|
|
acb_hypgeom_airy(ai, ai ? (ai + 1) : NULL, bi, bi ? (bi + 1) : NULL, z, prec);
|
|
|
|
if (ai != NULL) airy_recurrence(ai, z, len, prec);
|
|
if (bi != NULL) airy_recurrence(bi, z, len, prec);
|
|
}
|
|
|