mirror of
https://github.com/vale981/arb
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75 lines
2 KiB
C
75 lines
2 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) 2016 Pascal Molin
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******************************************************************************/
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#include "acb_dirichlet.h"
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/* bsgs evaluation */
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void
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acb_dirichlet_si_poly_evaluate(acb_t res, slong * v, slong len, const acb_t z, slong prec)
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{
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slong k, r, m;
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acb_t sq;
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acb_ptr zk;
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if (len < 3)
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{
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if (len == 0)
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{
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acb_zero(res);
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}
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else if (len == 1)
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{
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acb_set_si(res, v[0]);
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}
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else if (len == 2)
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{
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acb_mul_si(res, z, v[1], prec);
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acb_add_si(res, res, v[0], prec);
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}
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return;
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}
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m = n_sqrt(len) + 1;
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zk = _acb_vec_init(m + 1);
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_acb_vec_set_powers(zk, z, m + 1, prec);
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acb_init(sq);
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acb_zero(res);
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k = len - 1;
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r = k % m;
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for (; k >= 0; r = m - 1)
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{
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acb_zero(sq);
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for (; r >= 0; r--, k--)
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acb_addmul_si(sq, zk + r, v[k], prec);
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acb_mul(res, res, zk + m, prec);
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acb_add(res, res, sq, prec);
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}
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_acb_vec_clear(zk, m + 1);
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acb_clear(sq);
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}
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