mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
100 lines
2.7 KiB
C
100 lines
2.7 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include "fmpcb_poly.h"
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void
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_fmpcb_poly_sin_cos_series_basecase(fmpcb_ptr s,
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fmpcb_ptr c, fmpcb_srcptr h, long hlen, long n, long prec)
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{
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long j, k, alen = FLINT_MIN(n, hlen);
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fmpcb_ptr a;
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fmpcb_t t, u;
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fmpcb_sin_cos(s, c, h, prec);
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if (hlen == 1)
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{
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_fmpcb_vec_zero(s + 1, n - 1);
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_fmpcb_vec_zero(c + 1, n - 1);
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return;
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}
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fmpcb_init(t);
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fmpcb_init(u);
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a = _fmpcb_vec_init(alen);
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for (k = 1; k < alen; k++)
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fmpcb_mul_ui(a + k, h + k, k, prec);
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for (k = 1; k < n; k++)
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{
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fmpcb_zero(t);
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fmpcb_zero(u);
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for (j = 1; j < FLINT_MIN(k + 1, hlen); j++)
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{
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fmpcb_submul(t, a + j, s + k - j, prec);
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fmpcb_addmul(u, a + j, c + k - j, prec);
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}
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fmpcb_div_ui(c + k, t, k, prec);
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fmpcb_div_ui(s + k, u, k, prec);
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}
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fmpcb_clear(t);
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fmpcb_clear(u);
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_fmpcb_vec_clear(a, alen);
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}
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void
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fmpcb_poly_sin_cos_series_basecase(fmpcb_poly_t s, fmpcb_poly_t c,
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const fmpcb_poly_t h, long n, long prec)
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{
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long hlen = h->length;
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if (n == 0)
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{
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fmpcb_poly_zero(s);
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fmpcb_poly_zero(c);
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return;
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}
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if (hlen == 0)
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{
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fmpcb_poly_zero(s);
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fmpcb_poly_one(c);
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return;
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}
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fmpcb_poly_fit_length(s, n);
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fmpcb_poly_fit_length(c, n);
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_fmpcb_poly_sin_cos_series_basecase(s->coeffs, c->coeffs, h->coeffs, hlen, n, prec);
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_fmpcb_poly_set_length(s, n);
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_fmpcb_poly_normalise(s);
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_fmpcb_poly_set_length(c, n);
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_fmpcb_poly_normalise(c);
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}
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