mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
69 lines
1.8 KiB
C
69 lines
1.8 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) 2015 Fredrik Johansson
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******************************************************************************/
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#include "mag.h"
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void
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mag_root(mag_t y, const mag_t x, ulong n)
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{
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if (n == 0)
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{
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mag_inf(y);
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}
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else if (n == 1 || mag_is_special(x))
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{
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mag_set(y, x);
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}
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else if (n == 2)
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{
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mag_sqrt(y, x);
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}
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else if (n == 4)
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{
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mag_sqrt(y, x);
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mag_sqrt(y, y);
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}
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else
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{
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fmpz_t e, f;
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fmpz_init_set_ui(e, MAG_BITS);
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fmpz_init(f);
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fmpz_sub(e, e, MAG_EXPREF(x));
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fmpz_cdiv_q_ui(e, e, n);
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fmpz_mul_ui(f, e, n);
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mag_mul_2exp_fmpz(y, x, f);
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mag_log1p(y, y);
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mag_div_ui(y, y, n);
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mag_exp(y, y);
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fmpz_neg(e, e);
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mag_mul_2exp_fmpz(y, y, e);
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fmpz_clear(e);
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fmpz_clear(f);
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}
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}
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