mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
101 lines
3.3 KiB
C
101 lines
3.3 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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "acb_poly.h"
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void
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_acb_poly_cot_pi_series(acb_ptr g, acb_srcptr h, slong hlen, slong len, slong prec)
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{
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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_cot_pi(g, h, prec);
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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;
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t = _acb_vec_init(len);
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u = _acb_vec_init(len);
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if (arf_cmpabs_2exp_si(arb_midref(acb_imagref(h)), 0) < 0)
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{
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_acb_poly_sin_cos_pi_series(t, u, h, hlen, len, prec);
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_acb_poly_div_series(g, u, len, t, len, len, prec);
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}
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else
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{
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_acb_vec_scalar_mul_2exp_si(t, h, hlen, 1);
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if (arf_sgn(arb_midref(acb_imagref(h))) > 0)
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{
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acb_const_pi(u, prec);
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acb_mul_onei(u, u);
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_acb_vec_scalar_mul(t, t, hlen, u, prec);
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_acb_poly_exp_series(t, t, hlen, len, prec);
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acb_sub_ui(u, t, 1, prec);
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_acb_vec_set(u + 1, t + 1, len - 1);
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_acb_poly_div_series(g, t, len, u, len, len, prec);
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_acb_vec_scalar_mul_2exp_si(g, g, len, 1);
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acb_sub_ui(g, g, 1, prec);
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_acb_vec_scalar_mul_onei(g, g, len);
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}
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else
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{
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acb_const_pi(u, prec);
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acb_div_onei(u, u);
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_acb_vec_scalar_mul(t, t, hlen, u, prec);
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_acb_poly_exp_series(t, t, hlen, len, prec);
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acb_sub_ui(u, t, 1, prec);
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_acb_vec_set(u + 1, t + 1, len - 1);
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_acb_poly_div_series(g, t, len, u, len, len, prec);
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_acb_vec_scalar_mul_2exp_si(g, g, len, 1);
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acb_sub_ui(g, g, 1, prec);
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_acb_vec_scalar_mul_onei(g, g, len);
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_acb_vec_neg(g, g, len);
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}
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}
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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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}
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void
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acb_poly_cot_pi_series(acb_poly_t res, const acb_poly_t f, slong len, slong prec)
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{
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acb_poly_fit_length(res, len);
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if (f->length == 0 || len == 0)
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_acb_vec_indeterminate(res->coeffs, len);
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else
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_acb_poly_cot_pi_series(res->coeffs, f->coeffs, f->length, len, prec);
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_acb_poly_set_length(res, len);
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_acb_poly_normalise(res);
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}
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