mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
120 lines
3 KiB
C
120 lines
3 KiB
C
/*=============================================================================
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This file is part of acb.
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acb 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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acb 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 acb; 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 "acb_poly.h"
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void
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_acb_poly_pow_series(acb_ptr h,
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acb_srcptr f, slong flen,
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acb_srcptr g, slong glen, slong len, slong prec)
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{
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if (glen == 1)
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{
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_acb_poly_pow_acb_series(h, f, flen, g, len, prec);
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return;
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}
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/* f^g = exp(g * log(f)) */
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if (flen == 1)
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{
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acb_t t;
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acb_init(t);
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acb_log(t, f, prec);
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_acb_vec_scalar_mul(h, g, glen, t, prec);
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_acb_poly_exp_series(h, h, glen, len, 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_ptr t;
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t = _acb_vec_init(len);
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_acb_poly_log_series(t, f, flen, len, prec);
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_acb_poly_mullow(h, t, len, g, glen, len, prec);
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_acb_poly_exp_series(h, h, len, len, prec);
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_acb_vec_clear(t, len);
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}
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}
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void
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acb_poly_pow_series(acb_poly_t h,
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const acb_poly_t f, const acb_poly_t g, slong len, slong prec)
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{
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slong flen, glen;
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flen = f->length;
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glen = g->length;
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flen = FLINT_MIN(flen, len);
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glen = FLINT_MIN(glen, len);
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if (len == 0)
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{
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acb_poly_zero(h);
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return;
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}
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if (glen == 0)
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{
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acb_poly_one(h);
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return;
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}
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if (flen == 0)
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{
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acb_poly_zero(h);
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return;
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}
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if (flen == 1 && glen == 1)
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{
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acb_poly_fit_length(h, 1);
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acb_pow(h->coeffs, f->coeffs, g->coeffs, prec);
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_acb_poly_set_length(h, 1);
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_acb_poly_normalise(h);
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return;
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}
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if (f == h || g == h)
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{
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acb_poly_t t;
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acb_poly_init2(t, len);
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_acb_poly_pow_series(t->coeffs,
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f->coeffs, flen, g->coeffs, glen, len, prec);
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_acb_poly_set_length(t, len);
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_acb_poly_normalise(t);
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acb_poly_swap(t, h);
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acb_poly_clear(t);
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}
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else
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{
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acb_poly_fit_length(h, len);
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_acb_poly_pow_series(h->coeffs,
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f->coeffs, flen, g->coeffs, glen, len, prec);
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_acb_poly_set_length(h, len);
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_acb_poly_normalise(h);
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}
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}
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