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https://github.com/vale981/arb
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60 lines
1.3 KiB
C
60 lines
1.3 KiB
C
/*
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Copyright (C) 2014 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_poly.h"
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void
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_acb_poly_agm1_series(acb_ptr res, acb_srcptr z, slong zlen, slong len, slong prec)
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{
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acb_ptr t, u;
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zlen = FLINT_MIN(zlen, len);
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t = _acb_vec_init(len);
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u = _acb_vec_init(len);
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acb_agm1_cpx(t, z, len, prec);
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/* compose with nonconstant part */
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acb_zero(u);
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_acb_vec_set(u + 1, z + 1, zlen - 1);
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_acb_poly_compose_series(res, t, len, u, zlen, len, prec);
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_acb_vec_clear(t, len);
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_acb_vec_clear(u, len);
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}
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void
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acb_poly_agm1_series(acb_poly_t res, const acb_poly_t z, slong n, slong prec)
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{
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if (n == 0)
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{
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acb_poly_zero(res);
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return;
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}
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acb_poly_fit_length(res, n);
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if (z->length == 0)
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{
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acb_t t;
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acb_init(t);
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_acb_poly_agm1_series(res->coeffs, t, 1, n, prec);
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acb_clear(t);
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}
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else
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{
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_acb_poly_agm1_series(res->coeffs, z->coeffs, z->length, n, prec);
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}
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_acb_poly_set_length(res, n);
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_acb_poly_normalise(res);
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}
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