mirror of
https://github.com/vale981/arb
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69 lines
1.9 KiB
C
69 lines
1.9 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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int
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acb_modular_is_in_fundamental_domain(const acb_t z, const arf_t tol, slong prec)
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{
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arb_t t;
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arb_init(t);
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/* require re(w) + 1/2 >= 0 */
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arb_set_ui(t, 1);
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arb_mul_2exp_si(t, t, -1);
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arb_add(t, t, acb_realref(z), prec);
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arb_add_arf(t, t, tol, prec);
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if (!arb_is_nonnegative(t))
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{
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arb_clear(t);
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return 0;
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}
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/* require re(w) - 1/2 <= 0 */
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arb_set_ui(t, 1);
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arb_mul_2exp_si(t, t, -1);
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arb_sub(t, acb_realref(z), t, prec);
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arb_sub_arf(t, t, tol, prec);
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if (!arb_is_nonpositive(t))
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{
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arb_clear(t);
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return 0;
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}
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/* require |w| >= 1 - tol, i.e. |w| - 1 + tol >= 0 */
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acb_abs(t, z, prec);
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arb_sub_ui(t, t, 1, prec);
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arb_add_arf(t, t, tol, prec);
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if (!arb_is_nonnegative(t))
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{
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arb_clear(t);
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return 0;
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}
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arb_clear(t);
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return 1;
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}
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