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77 lines
2.2 KiB
C
77 lines
2.2 KiB
C
/* mpc_acosh -- inverse hyperbolic cosine of a complex number.
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Copyright (C) 2009, 2011, 2012 INRIA
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This file is part of GNU MPC.
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GNU MPC 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 as published by the
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Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see http://www.gnu.org/licenses/ .
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*/
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#include "mpc-impl.h"
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int
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mpc_acosh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
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{
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/* acosh(z) =
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NaN + i*NaN, if z=0+i*NaN
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-i*acos(z), if sign(Im(z)) = -
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i*acos(z), if sign(Im(z)) = +
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http://functions.wolfram.com/ElementaryFunctions/ArcCosh/27/02/03/01/01/
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*/
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mpc_t a;
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mpfr_t tmp;
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int inex;
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if (mpfr_zero_p (mpc_realref (op)) && mpfr_nan_p (mpc_imagref (op)))
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{
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mpfr_set_nan (mpc_realref (rop));
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mpfr_set_nan (mpc_imagref (rop));
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return 0;
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}
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/* Note reversal of precisions due to later multiplication by i or -i */
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mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop));
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if (mpfr_signbit (mpc_imagref (op)))
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{
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inex = mpc_acos (a, op,
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MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd)));
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/* change a to -i*a, i.e., -y+i*x to x+i*y */
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tmp[0] = mpc_realref (a)[0];
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mpc_realref (a)[0] = mpc_imagref (a)[0];
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mpc_imagref (a)[0] = tmp[0];
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MPFR_CHANGE_SIGN (mpc_imagref (a));
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inex = MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex));
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}
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else
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{
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inex = mpc_acos (a, op,
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MPC_RND (MPC_RND_IM (rnd), INV_RND(MPC_RND_RE (rnd))));
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/* change a to i*a, i.e., y-i*x to x+i*y */
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tmp[0] = mpc_realref (a)[0];
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mpc_realref (a)[0] = mpc_imagref (a)[0];
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mpc_imagref (a)[0] = tmp[0];
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MPFR_CHANGE_SIGN (mpc_realref (a));
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inex = MPC_INEX (-MPC_INEX_IM (inex), MPC_INEX_RE (inex));
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}
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mpc_set (rop, a, rnd);
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mpc_clear (a);
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return inex;
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}
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