mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
99 lines
2.5 KiB
C
99 lines
2.5 KiB
C
/*
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Copyright (C) 2012 Fredrik Johansson
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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.h"
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void
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acb_log(acb_t r, const acb_t z, slong 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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if (arb_is_positive(a))
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{
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arb_log(acb_realref(r), a, prec);
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arb_zero(acb_imagref(r));
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}
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else if (arb_is_negative(a))
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{
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arb_neg(acb_realref(r), a);
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arb_log(acb_realref(r), acb_realref(r), prec);
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arb_const_pi(acb_imagref(r), prec);
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}
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else
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{
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acb_indeterminate(r);
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}
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}
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else if (arb_is_zero(a))
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{
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if (arb_is_positive(b))
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{
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arb_log(acb_realref(r), b, prec);
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arb_const_pi(acb_imagref(r), prec);
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arb_mul_2exp_si(acb_imagref(r), acb_imagref(r), -1);
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}
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else if (arb_is_negative(b))
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{
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arb_neg(acb_realref(r), b);
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arb_log(acb_realref(r), acb_realref(r), prec);
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arb_const_pi(acb_imagref(r), prec);
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arb_mul_2exp_si(acb_imagref(r), acb_imagref(r), -1);
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arb_neg(acb_imagref(r), acb_imagref(r));
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}
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else
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{
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acb_indeterminate(r);
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}
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}
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else
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{
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if (r != z)
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{
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arb_log_hypot(acb_realref(r), a, b, prec);
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if (arb_is_finite(acb_realref(r)))
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arb_atan2(acb_imagref(r), b, a, prec);
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else
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arb_indeterminate(acb_imagref(r));
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}
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else
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{
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arb_t t;
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arb_init(t);
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arb_log_hypot(t, a, b, prec);
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if (arb_is_finite(t))
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arb_atan2(acb_imagref(r), b, a, prec);
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else
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arb_indeterminate(acb_imagref(r));
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arb_swap(acb_realref(r), t);
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arb_clear(t);
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}
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}
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#undef a
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#undef b
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}
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void
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acb_log_analytic(acb_ptr res, const acb_t z, int analytic, slong prec)
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{
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if (analytic && arb_contains_zero(acb_imagref(z)) &&
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!arb_is_positive(acb_realref(z)))
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{
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acb_indeterminate(res);
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}
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else
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{
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acb_log(res, z, prec);
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}
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}
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