mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
65 lines
1.9 KiB
C
65 lines
1.9 KiB
C
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/*=============================================================================
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This file is part of ARB.
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ARB is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2016 Fredrik Johansson
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******************************************************************************/
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#include "acb_hypgeom.h"
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static void
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airy_recurrence(acb_ptr ai, const acb_t z, slong len, slong prec)
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{
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slong k;
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if (len >= 3)
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{
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acb_mul(ai + 2, ai, z, prec);
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acb_mul_2exp_si(ai + 2, ai + 2, -1);
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}
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for (k = 3; k < len; k++)
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{
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acb_mul(ai + k, ai + k - 2, z, prec);
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acb_add(ai + k, ai + k, ai + k - 3, prec);
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acb_div_ui(ai + k, ai + k, k * (k - 1), prec);
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}
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}
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void
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acb_hypgeom_airy_jet(acb_ptr ai, acb_ptr bi, const acb_t z, slong len, slong prec)
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{
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if (len <= 0)
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return;
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if (len == 1)
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{
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acb_hypgeom_airy(ai, NULL, bi, NULL, z, prec);
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return;
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}
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acb_hypgeom_airy(ai, ai ? (ai + 1) : NULL, bi, bi ? (bi + 1) : NULL, z, prec);
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if (ai != NULL) airy_recurrence(ai, z, len, prec);
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if (bi != NULL) airy_recurrence(bi, z, len, prec);
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}
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