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https://github.com/vale981/arb
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65 lines
2.1 KiB
C
65 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) 2015 Jonathan Bober
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Copyright (C) 2016 Fredrik Johansson
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Copyright (C) 2016 Pascal Molin
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******************************************************************************/
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#include "acb_dirichlet.h"
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/* TODO: use dlog module instead of n_discrete_log_bsgs */
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/* assume m is invertible */
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void
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acb_dirichlet_conrey_log(acb_dirichlet_conrey_t x, const acb_dirichlet_group_t G, ulong m)
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{
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ulong k, pk, gk;
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/* even part */
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if (G->neven >= 1)
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{
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x->log[0] = (m % 4 == 3);
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if (G->neven == 2)
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{
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ulong m2 = (x->log[0]) ? -m % G->q_even : m % G->q_even;
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if (G->P[1].dlog == NULL)
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x->log[1] = n_discrete_log_bsgs(m2, 5, G->q_even);
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else
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x->log[1] = dlog_precomp(G->P[1].dlog, m2);
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}
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}
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/* odd part */
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for (k = G->neven; k < G->num; k++)
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{
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if (G->P[k].dlog == NULL)
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{
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pk = G->P[k].pe.n;
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gk = G->P[k].g;
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x->log[k] = n_discrete_log_bsgs(m % pk, gk, pk);
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}
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else
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{
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x->log[k] = dlog_precomp(G->P[k].dlog, m % G->P[k].pe.n);
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}
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}
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/* keep value m */
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x->n = m;
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}
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