mirror of
https://github.com/vale981/arb
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126 lines
3 KiB
C
126 lines
3 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include "fmprb.h"
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void
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fmprb_sinh(fmprb_t s, const fmprb_t x, long prec)
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{
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if (fmprb_is_zero(x))
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{
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fmprb_zero(s);
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}
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else
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{
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fmprb_t t;
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long wp = prec + 4;
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fmprb_init(t);
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if (fmpr_cmpabs_2exp_si(fmprb_midref(x), -1) <= 0)
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{
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fmprb_mul_2exp_si(s, x, 1);
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fmprb_expm1(s, s, wp);
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fmprb_add_ui(t, s, 1, wp);
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fmprb_sqrt(t, t, wp);
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fmprb_div(s, s, t, prec);
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}
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else
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{
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fmprb_exp(s, x, wp);
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fmprb_inv(t, s, wp);
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fmprb_sub(s, s, t, prec);
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}
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fmprb_mul_2exp_si(s, s, -1);
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fmprb_clear(t);
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}
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}
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void
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fmprb_cosh(fmprb_t c, const fmprb_t x, long prec)
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{
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if (fmprb_is_zero(x))
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{
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fmprb_one(c);
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}
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else
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{
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fmprb_t t;
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long wp = prec + 4;
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fmprb_init(t);
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fmprb_exp(c, x, wp);
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fmprb_inv(t, c, wp);
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fmprb_add(c, c, t, prec);
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fmprb_mul_2exp_si(c, c, -1);
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fmprb_clear(t);
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}
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}
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void
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fmprb_sinh_cosh(fmprb_t s, fmprb_t c, const fmprb_t x, long prec)
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{
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if (fmprb_is_zero(x))
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{
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fmprb_zero(s);
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fmprb_one(c);
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}
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else
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{
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long wp = prec + 4;
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fmprb_t t, u;
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fmprb_init(t);
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fmprb_init(u);
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if (fmpr_cmpabs_2exp_si(fmprb_midref(x), -1) <= 0)
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{
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fmprb_mul_2exp_si(t, x, 1);
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fmprb_expm1(t, t, wp);
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fmprb_add_ui(u, t, 1, wp);
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fmprb_sqrt(u, u, wp);
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fmprb_inv(u, u, wp);
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fmprb_mul(s, t, u, prec);
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fmprb_add_ui(t, t, 2, wp);
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fmprb_mul(c, t, u, prec);
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}
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else
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{
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fmprb_exp(t, x, wp);
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fmprb_inv(u, t, wp);
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fmprb_sub(s, t, u, prec);
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fmprb_add(c, t, u, prec);
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}
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fmprb_mul_2exp_si(s, s, -1);
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fmprb_mul_2exp_si(c, c, -1);
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fmprb_clear(t);
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fmprb_clear(u);
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}
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}
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