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56 lines
1.6 KiB
C
56 lines
1.6 KiB
C
/* mpc_asinh -- inverse hyperbolic sine 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_asinh (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
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{
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/* asinh(op) = -i*asin(i*op) */
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int inex;
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mpc_t z, a;
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mpfr_t tmp;
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/* z = i*op */
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mpc_realref (z)[0] = mpc_imagref (op)[0];
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mpc_imagref (z)[0] = mpc_realref (op)[0];
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MPFR_CHANGE_SIGN (mpc_realref (z));
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/* Note reversal of precisions due to later multiplication by -i */
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mpc_init3 (a, MPC_PREC_IM(rop), MPC_PREC_RE(rop));
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inex = mpc_asin (a, z,
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MPC_RND (INV_RND (MPC_RND_IM (rnd)), MPC_RND_RE (rnd)));
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/* if a = asin(i*op) = x+i*y, and we want y-i*x */
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/* change a to -i*a */
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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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mpc_set (rop, a, MPC_RNDNN); /* exact */
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mpc_clear (a);
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return MPC_INEX (MPC_INEX_IM (inex), -MPC_INEX_RE (inex));
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}
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