mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
129 lines
3.2 KiB
C
129 lines
3.2 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 "acb_hypgeom.h"
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void
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_acb_hypgeom_coulomb_series(acb_ptr F, acb_ptr G,
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acb_ptr Hpos, acb_ptr Hneg, const acb_t l, const acb_t eta,
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acb_srcptr z, slong zlen, slong len, slong prec)
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{
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acb_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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acb_hypgeom_coulomb(F, G, Hpos, Hneg, l, eta, z, prec);
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if (F != NULL) _acb_vec_zero(F + 1, len - 1);
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if (G != NULL) _acb_vec_zero(G + 1, len - 1);
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if (Hpos != NULL) _acb_vec_zero(Hpos + 1, len - 1);
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if (Hneg != NULL) _acb_vec_zero(Hneg + 1, len - 1);
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return;
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}
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t = _acb_vec_init(len);
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v = _acb_vec_init(zlen);
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/* copy nonconstant part first to allow aliasing */
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acb_zero(v);
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_acb_vec_set(v + 1, z + 1, zlen - 1);
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acb_hypgeom_coulomb_jet(F, G, Hpos, Hneg, l, eta, z, len, prec);
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if (F != NULL)
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{
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_acb_vec_set(t, F, len);
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_acb_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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_acb_vec_set(t, G, len);
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_acb_poly_compose_series(G, t, len, v, zlen, len, prec);
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}
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if (Hpos != NULL)
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{
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_acb_vec_set(t, Hpos, len);
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_acb_poly_compose_series(Hpos, t, len, v, zlen, len, prec);
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}
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if (Hneg != NULL)
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{
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_acb_vec_set(t, Hneg, len);
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_acb_poly_compose_series(Hneg, t, len, v, zlen, len, prec);
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}
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_acb_vec_clear(t, len);
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_acb_vec_clear(v, zlen);
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}
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void
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acb_hypgeom_coulomb_series(acb_poly_t F, acb_poly_t G,
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acb_poly_t Hpos, acb_poly_t Hneg, const acb_t l, const acb_t eta,
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const acb_poly_t z, slong len, slong prec)
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{
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acb_srcptr zptr;
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slong zlen;
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acb_t t;
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if (len == 0)
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{
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if (F != NULL) acb_poly_zero(F);
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if (G != NULL) acb_poly_zero(G);
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if (Hpos != NULL) acb_poly_zero(Hpos);
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if (Hneg != NULL) acb_poly_zero(Hneg);
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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) acb_poly_fit_length(F, len);
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if (G != NULL) acb_poly_fit_length(G, len);
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if (Hpos != NULL) acb_poly_fit_length(Hpos, len);
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if (Hneg != NULL) acb_poly_fit_length(Hneg, len);
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if (zlen == 0)
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{
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acb_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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_acb_hypgeom_coulomb_series(
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F ? F->coeffs : NULL,
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G ? G->coeffs : NULL,
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Hpos ? Hpos->coeffs : NULL,
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Hneg ? Hneg->coeffs : NULL,
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l, eta,
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zptr, zlen, len, prec);
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if (F != NULL) _acb_poly_set_length(F, len);
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if (G != NULL) _acb_poly_set_length(G, len);
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if (Hpos != NULL) _acb_poly_set_length(Hpos, len);
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if (Hneg != NULL) _acb_poly_set_length(Hneg, len);
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if (F != NULL) _acb_poly_normalise(F);
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if (G != NULL) _acb_poly_normalise(G);
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if (Hpos != NULL) _acb_poly_normalise(Hpos);
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if (Hneg != NULL) _acb_poly_normalise(Hneg);
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}
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