mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
106 lines
2.3 KiB
C
106 lines
2.3 KiB
C
/*
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Copyright (C) 2019 Fredrik Johansson
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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 it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "arb_hypgeom.h"
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#include "arb_hypgeom.h"
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void
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_arb_hypgeom_coulomb_series(arb_ptr F, arb_ptr G,
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const arb_t l, const arb_t eta,
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arb_srcptr z, slong zlen, slong len, slong prec)
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{
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arb_ptr t, v;
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if (len == 0)
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return;
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zlen = FLINT_MIN(zlen, len);
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if (zlen == 1)
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{
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arb_hypgeom_coulomb(F, G, l, eta, z, prec);
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if (F != NULL) _arb_vec_zero(F + 1, len - 1);
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if (G != NULL) _arb_vec_zero(G + 1, len - 1);
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return;
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}
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t = _arb_vec_init(len);
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v = _arb_vec_init(zlen);
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/* copy nonconstant part first to allow aliasing */
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arb_zero(v);
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_arb_vec_set(v + 1, z + 1, zlen - 1);
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arb_hypgeom_coulomb_jet(F, G, l, eta, z, len, prec);
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if (F != NULL)
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{
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_arb_vec_set(t, F, len);
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_arb_poly_compose_series(F, t, len, v, zlen, len, prec);
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}
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if (G != NULL)
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{
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_arb_vec_set(t, G, len);
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_arb_poly_compose_series(G, t, len, v, zlen, len, prec);
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}
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_arb_vec_clear(t, len);
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_arb_vec_clear(v, zlen);
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}
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void
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arb_hypgeom_coulomb_series(arb_poly_t F, arb_poly_t G,
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const arb_t l, const arb_t eta,
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const arb_poly_t z, slong len, slong prec)
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{
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arb_srcptr zptr;
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slong zlen;
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arb_t t;
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if (len == 0)
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{
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if (F != NULL) arb_poly_zero(F);
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if (G != NULL) arb_poly_zero(G);
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return;
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}
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zlen = z->length;
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if (zlen <= 1)
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len = 1;
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if (F != NULL) arb_poly_fit_length(F, len);
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if (G != NULL) arb_poly_fit_length(G, len);
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if (zlen == 0)
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{
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arb_init(t);
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zptr = t;
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zlen = 1;
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}
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else
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{
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zptr = z->coeffs;
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}
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_arb_hypgeom_coulomb_series(
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F ? F->coeffs : NULL,
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G ? G->coeffs : NULL,
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l, eta,
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zptr, zlen, len, prec);
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if (F != NULL) _arb_poly_set_length(F, len);
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if (G != NULL) _arb_poly_set_length(G, len);
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if (F != NULL) _arb_poly_normalise(F);
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if (G != NULL) _arb_poly_normalise(G);
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}
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