mirror of
https://github.com/vale981/arb
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59 lines
1.8 KiB
C
59 lines
1.8 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include "gamma.h"
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void
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gamma_taylor_bound_remainder(fmpr_t err, const fmpr_t z, long n)
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{
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fmpr_t t, u;
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gamma_taylor_bound_extend_cache(n + 1);
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fmpr_init(t);
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fmpr_init(u);
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/* denominator: 1 - r(n+1) * z, rounded down */
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fmpr_mul(t, gamma_taylor_bound_ratio_cache + n + 1,
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z, FMPRB_RAD_PREC, FMPR_RND_UP);
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fmpr_one(u);
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fmpr_sub(u, u, t, FMPRB_RAD_PREC, FMPR_RND_DOWN);
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if (fmpr_sgn(u) <= 0)
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{
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fmpr_pos_inf(err);
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}
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else
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{
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fmpr_pow_sloppy_ui(t, z, n, FMPRB_RAD_PREC, FMPR_RND_UP);
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fmpr_mul_2exp_si(t, t, gamma_taylor_bound_mag_cache[n + 1]);
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fmpr_div(err, t, u, FMPRB_RAD_PREC, FMPR_RND_UP);
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}
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fmpr_clear(t);
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fmpr_clear(u);
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}
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