mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
94 lines
2.5 KiB
C
94 lines
2.5 KiB
C
/*=============================================================================
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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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void
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_acb_hypgeom_chi_series(acb_ptr g, acb_srcptr h, slong hlen, slong len, slong prec)
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{
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acb_t c;
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if (acb_contains_zero(h))
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{
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_acb_vec_indeterminate(g, len);
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return;
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}
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acb_init(c);
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acb_hypgeom_chi(c, h, prec);
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hlen = FLINT_MIN(hlen, len);
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if (hlen == 1)
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{
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_acb_vec_zero(g + 1, len - 1);
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}
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else
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{
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acb_ptr t, u, v;
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t = _acb_vec_init(len);
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u = _acb_vec_init(len);
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v = _acb_vec_init(len);
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/* Chi(h(x)) = integral([h'(x) / h(x)] cosh(h(x)) */
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_acb_poly_cosh_series(t, h, hlen, len - 1, prec);
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_acb_poly_derivative(u, h, hlen, prec);
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_acb_poly_mullow(v, t, len - 1, u, len - 1, len - 1, prec);
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_acb_poly_div_series(u, v, len - 1, h, hlen, len - 1, prec);
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_acb_poly_integral(g, u, len, prec);
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_acb_vec_clear(t, len);
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_acb_vec_clear(u, len);
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_acb_vec_clear(v, len);
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}
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acb_swap(g, c);
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acb_clear(c);
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}
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void
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acb_hypgeom_chi_series(acb_poly_t g, const acb_poly_t h, slong len, slong prec)
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{
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slong hlen = h->length;
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if (len == 0)
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{
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acb_poly_zero(g);
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return;
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}
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if (hlen == 0)
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{
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acb_poly_inv_series(g, h, len, prec);
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return;
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}
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acb_poly_fit_length(g, len);
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_acb_hypgeom_chi_series(g->coeffs, h->coeffs, hlen, len, prec);
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_acb_poly_set_length(g, len);
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_acb_poly_normalise(g);
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}
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