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https://github.com/vale981/arb
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77 lines
2.1 KiB
C
77 lines
2.1 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 "elefun.h"
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#include "ulong_extras.h"
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/* computes all the d roots alpha_j of Phi_n(x) */
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void
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_elefun_cos_minpoly_roots(fmprb_ptr alpha, long d, ulong n, long prec)
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{
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fmprb_t t, u, v, s1, s2, c1, c2;
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long i, j;
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fmprb_init(t);
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fmprb_init(u);
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fmprb_init(v);
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fmprb_init(s1);
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fmprb_init(s2);
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fmprb_init(c1);
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fmprb_init(c2);
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fmprb_const_pi(s1, prec);
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fmprb_mul_ui(s1, s1, 2, prec);
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fmprb_div_ui(s1, s1, n, prec);
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fmprb_sin_cos(s1, c1, s1, prec);
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fmprb_one(c2);
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fmprb_zero(s2);
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for (i = j = 0; j < d; i++)
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{
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if (n_gcd(n, i) == 1)
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{
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fmprb_set(alpha + j, c2);
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j++;
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}
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fmprb_mul(t, c1, c2, prec);
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fmprb_mul(u, s1, s2, prec);
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fmprb_sub(v, t, u, prec);
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fmprb_mul(t, c1, s2, prec);
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fmprb_mul(u, s1, c2, prec);
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fmprb_add(s2, t, u, prec);
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fmprb_set(c2, v);
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}
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fmprb_clear(t);
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fmprb_clear(u);
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fmprb_clear(v);
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fmprb_clear(s1);
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fmprb_clear(s2);
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fmprb_clear(c1);
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fmprb_clear(c2);
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}
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