mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
130 lines
3.7 KiB
C
130 lines
3.7 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 "fmprb_poly.h"
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void
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_fmprb_poly_evaluate2_fmpcb_rectangular(fmpcb_t y, fmpcb_t z,
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const fmprb_struct * poly, long len, const fmpcb_t x, long prec)
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{
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long i, j, m, r;
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fmpcb_struct * xs;
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fmpcb_t s, t;
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fmprb_t c;
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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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fmpcb_zero(y);
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fmpcb_zero(z);
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}
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else if (len == 1)
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{
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fmpcb_set_round_fmprb(y, poly + 0, prec);
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fmpcb_zero(z);
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}
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else if (len == 2)
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{
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fmpcb_mul_fmprb(y, x, poly + 1, prec);
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fmpcb_add_fmprb(y, y, poly + 0, prec);
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fmpcb_set_round_fmprb(z, poly + 1, 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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m *= 1;
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r = (len + m - 1) / m;
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xs = _fmpcb_vec_init(m + 1);
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fmpcb_init(s);
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fmpcb_init(t);
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fmprb_init(c);
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for (i = 0; i <= m; i++)
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{
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if (i == 0)
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fmpcb_one(xs + i);
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else if (i == 1)
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fmpcb_set(xs + i, x);
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else if (i % 2 == 0)
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fmpcb_mul(xs + i, xs + i / 2, xs + i / 2, prec);
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else
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fmpcb_mul(xs + i, xs + i - 1, x, prec);
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}
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fmpcb_set_fmprb(y, poly + (r - 1) * m);
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for (j = 1; (r - 1) * m + j < len; j++)
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fmpcb_addmul_fmprb(y, xs + j, poly + (r - 1) * m + j, prec);
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for (i = r - 2; i >= 0; i--)
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{
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fmpcb_set_fmprb(s, poly + i * m);
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for (j = 1; j < m; j++)
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fmpcb_addmul_fmprb(s, xs + j, poly + i * m + j, prec);
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fmpcb_mul(y, y, xs + m, prec);
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fmpcb_add(y, y, s, prec);
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}
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len -= 1;
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r = (len + m - 1) / m;
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fmprb_mul_ui(fmpcb_realref(z), poly + (r - 1) * m + 1, (r - 1) * m + 1, FMPR_PREC_EXACT);
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fmprb_zero(fmpcb_imagref(z));
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for (j = 1; (r - 1) * m + j < len; j++)
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{
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fmprb_mul_ui(c, poly + (r - 1) * m + j + 1, (r - 1) * m + j + 1, FMPR_PREC_EXACT);
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fmpcb_addmul_fmprb(z, xs + j, c, prec);
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}
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for (i = r - 2; i >= 0; i--)
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{
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fmprb_mul_ui(fmpcb_realref(s), poly + i * m + 1, i * m + 1, FMPR_PREC_EXACT);
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fmprb_zero(fmpcb_imagref(s));
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for (j = 1; j < m; j++)
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{
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fmprb_mul_ui(c, poly + i * m + j + 1, i * m + j + 1, FMPR_PREC_EXACT);
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fmpcb_addmul_fmprb(s, xs + j, c, prec);
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}
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fmpcb_mul(z, z, xs + m, prec);
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fmpcb_add(z, z, s, prec);
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}
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_fmpcb_vec_clear(xs, m + 1);
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fmpcb_clear(s);
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fmpcb_clear(t);
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fmprb_clear(c);
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}
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void
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fmprb_poly_evaluate2_fmpcb_rectangular(fmpcb_t r, fmpcb_t s, const fmprb_poly_t f, const fmpcb_t a, long prec)
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{
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_fmprb_poly_evaluate2_fmpcb_rectangular(r, s, f->coeffs, f->length, a, prec);
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}
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