mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
89 lines
2.5 KiB
C
89 lines
2.5 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 "arb_poly.h"
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#define TANGENT_CUTOFF 240
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void
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_arb_poly_sin_cos_series(arb_ptr s, arb_ptr c, const arb_srcptr h, slong hlen, slong n, slong prec)
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{
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hlen = FLINT_MIN(hlen, n);
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if (hlen == 1)
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{
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arb_sin_cos(s, c, h, prec);
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_arb_vec_zero(s + 1, n - 1);
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_arb_vec_zero(c + 1, n - 1);
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}
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else if (n == 2)
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{
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arb_t t;
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arb_init(t);
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arb_set(t, h + 1);
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arb_sin_cos(s, c, h, prec);
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arb_mul(s + 1, c, t, prec);
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arb_neg(t, t);
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arb_mul(c + 1, s, t, prec);
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arb_clear(t);
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}
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else if (hlen < TANGENT_CUTOFF)
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_arb_poly_sin_cos_series_basecase(s, c, h, hlen, n, prec, 0);
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else
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_arb_poly_sin_cos_series_tangent(s, c, h, hlen, n, prec, 0);
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}
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void
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arb_poly_sin_cos_series(arb_poly_t s, arb_poly_t c,
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const arb_poly_t h, slong n, slong prec)
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{
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slong hlen = h->length;
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if (n == 0)
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{
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arb_poly_zero(s);
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arb_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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arb_poly_zero(s);
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arb_poly_one(c);
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return;
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}
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if (hlen == 1)
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n = 1;
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arb_poly_fit_length(s, n);
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arb_poly_fit_length(c, n);
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_arb_poly_sin_cos_series(s->coeffs, c->coeffs, h->coeffs, hlen, n, prec);
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_arb_poly_set_length(s, n);
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_arb_poly_normalise(s);
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_arb_poly_set_length(c, n);
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_arb_poly_normalise(c);
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}
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