mirror of
https://github.com/vale981/arb
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70 lines
1.6 KiB
C
70 lines
1.6 KiB
C
/*
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Copyright (C) 2016 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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void
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_arb_hypgeom_si_series(arb_ptr g, arb_srcptr h, slong hlen, slong len, slong prec)
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{
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arb_t c;
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arb_init(c);
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arb_hypgeom_si(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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_arb_vec_zero(g + 1, len - 1);
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}
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else if (len == 2)
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{
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arb_sinc(g, h, prec);
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arb_mul(g + 1, g, h + 1, prec);
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}
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else
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{
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arb_ptr t, u;
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t = _arb_vec_init(len - 1);
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u = _arb_vec_init(hlen - 1);
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/* Si(h(x)) = integral(h'(x) sinc(h(x))) */
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_arb_poly_sinc_series(t, h, hlen, len - 1, prec);
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_arb_poly_derivative(u, h, hlen, prec);
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_arb_poly_mullow(g, t, len - 1, u, hlen - 1, len - 1, prec);
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_arb_poly_integral(g, g, len, prec);
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_arb_vec_clear(t, len - 1);
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_arb_vec_clear(u, hlen - 1);
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}
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arb_swap(g, c);
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arb_clear(c);
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}
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void
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arb_hypgeom_si_series(arb_poly_t g, const arb_poly_t h, slong len, slong prec)
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{
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slong hlen = h->length;
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if (hlen == 0 || len == 0)
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{
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arb_poly_zero(g);
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return;
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}
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arb_poly_fit_length(g, len);
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_arb_hypgeom_si_series(g->coeffs, h->coeffs, hlen, len, prec);
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_arb_poly_set_length(g, len);
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_arb_poly_normalise(g);
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}
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