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https://github.com/vale981/arb
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42 lines
1.4 KiB
C
42 lines
1.4 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) 2014 Fredrik Johansson
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******************************************************************************/
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#include "acb_modular.h"
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void
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acb_modular_elliptic_k(acb_t k, const acb_t m, slong prec)
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{
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acb_t t;
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acb_init(t);
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acb_sub_ui(t, m, 1, prec);
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acb_neg(t, t);
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acb_sqrt(t, t, prec);
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acb_agm1(k, t, prec);
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acb_const_pi(t, prec);
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acb_div(k, t, k, prec);
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acb_mul_2exp_si(k, k, -1);
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acb_clear(t);
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}
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