mirror of
https://github.com/vale981/arb
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61 lines
1.6 KiB
C
61 lines
1.6 KiB
C
/*
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Copyright (C) 2016 Pascal Molin
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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 it under
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the terms of the GNU Lesser General Public License (LGPL) as published
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by the Free Software Foundation; either version 2.1 of the License, or
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(at your option) any later version. See <http://www.gnu.org/licenses/>.
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*/
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#include "acb_dirichlet.h"
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void
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acb_dirichlet_jacobi_sum_naive(acb_t res, const dirichlet_group_t G, const dirichlet_char_t chi1, const dirichlet_char_t chi2, slong prec)
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{
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ulong k1, k2, m1, m2, g, e, m;
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ulong * v1, * v2;
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slong *v;
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nmod_t expo;
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acb_t z;
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v1 = flint_malloc(G->q * sizeof(ulong));
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v2 = flint_malloc(G->q * sizeof(ulong));
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dirichlet_vec_set_null(v1, G, G->q);
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dirichlet_chi_vec_loop(v1, G, chi1, G->q);
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dirichlet_vec_set_null(v2, G, G->q);
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dirichlet_chi_vec_loop(v2, G, chi2, G->q);
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nmod_init(&expo, G->expo);
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m1 = dirichlet_order_char(G, chi1);
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m2 = dirichlet_order_char(G, chi2);
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g = m1 * m2 / n_gcd(m1, m2);
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m = G->expo / g;
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v = flint_malloc(g * sizeof(slong));
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for (e = 0; e < g; e++)
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v[e] = 0;
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for (k1 = 2, k2 = G->q - 1; k2 > 1; k1++, k2--)
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{
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if (v1[k1] == DIRICHLET_CHI_NULL ||
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v2[k2] == DIRICHLET_CHI_NULL)
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continue;
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e = nmod_add(v1[k1], v2[k2], expo) / m;
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v[e]++;
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}
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acb_init(z);
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acb_unit_root(z, g, prec);
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acb_dirichlet_si_poly_evaluate(res, v, g, z, prec);
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acb_clear(z);
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flint_free(v);
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flint_free(v2);
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flint_free(v1);
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}
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