mirror of
https://github.com/vale981/arb
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67 lines
2.1 KiB
C
67 lines
2.1 KiB
C
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/*=============================================================================
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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) 2012 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_root_inclusion(fmpcb_t r, const fmpcb_t m,
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const fmpcb_struct * poly,
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const fmpcb_struct * polyder, long len, long prec)
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{
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fmpcb_t t;
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fmpr_t u, v;
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fmpcb_init(t);
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fmpr_init(u);
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fmpr_init(v);
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fmpcb_set(r, m);
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fmpr_zero(fmprb_radref(fmpcb_realref(r)));
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fmpr_zero(fmprb_radref(fmpcb_imagref(r)));
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_fmpcb_poly_evaluate(t, poly, len, r, prec);
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fmpcb_get_abs_ubound_fmpr(u, t, FMPRB_RAD_PREC);
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/* it could happen that we have an exact root, in which case
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we should avoid dividing by the derivative */
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if (!fmpr_is_zero(u))
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{
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_fmpcb_poly_evaluate(t, polyder, len - 1, r, prec);
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fmpcb_inv(t, t, FMPRB_RAD_PREC);
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fmpcb_get_abs_ubound_fmpr(v, t, FMPRB_RAD_PREC);
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fmpr_mul(u, u, v, FMPRB_RAD_PREC, FMPR_RND_UP);
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fmpr_mul_ui(u, u, len - 1, FMPRB_RAD_PREC, FMPR_RND_UP);
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}
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fmpr_set(fmprb_radref(fmpcb_realref(r)), u);
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fmpr_set(fmprb_radref(fmpcb_imagref(r)), u);
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fmpr_clear(u);
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fmpr_clear(v);
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fmpcb_clear(t);
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}
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