mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
73 lines
2 KiB
C
73 lines
2 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.h"
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void
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acb_cube(acb_t r, const acb_t z, long prec)
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{
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#define a acb_realref(z)
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#define b acb_imagref(z)
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if (arb_is_zero(b))
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{
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arb_pow_ui(acb_realref(r), a, 3, prec);
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arb_zero(acb_imagref(r));
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}
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else if (arb_is_zero(a))
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{
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arb_pow_ui(acb_imagref(r), b, 3, prec);
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arb_neg(acb_imagref(r), acb_imagref(r));
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arb_zero(acb_realref(r));
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}
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else
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{
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arb_t t, u, v;
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arb_init(t);
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arb_init(u);
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arb_init(v);
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arb_mul(t, a, a, prec);
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arb_mul(u, b, b, prec);
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arb_set(v, t);
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/* t = a^2 - 3b^2 */
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arb_submul_ui(t, u, 3, prec);
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/* u = -(b^2 - 3a^2) */
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arb_submul_ui(u, v, 3, prec);
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arb_neg(u, u);
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arb_mul(acb_realref(r), t, a, prec);
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arb_mul(acb_imagref(r), u, b, prec);
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arb_clear(t);
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arb_clear(u);
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arb_clear(v);
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}
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#undef a
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#undef b
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}
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