/* mpc_mul_i -- Multiply a complex number by plus or minus i. Copyright (C) 2005, 2009, 2010, 2011, 2012 INRIA This file is part of GNU MPC. GNU MPC is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/ . */ #include "mpc-impl.h" int mpc_mul_i (mpc_ptr a, mpc_srcptr b, int sign, mpc_rnd_t rnd) /* if sign is >= 0, multiply by i, otherwise by -i */ { int inex_re, inex_im; mpfr_t tmp; /* Treat the most probable case of compatible precisions first */ if ( MPC_PREC_RE (b) == MPC_PREC_IM (a) && MPC_PREC_IM (b) == MPC_PREC_RE (a)) { if (a == b) mpfr_swap (mpc_realref (a), mpc_imagref (a)); else { mpfr_set (mpc_realref (a), mpc_imagref (b), MPFR_RNDN); mpfr_set (mpc_imagref (a), mpc_realref (b), MPFR_RNDN); } if (sign >= 0) MPFR_CHANGE_SIGN (mpc_realref (a)); else MPFR_CHANGE_SIGN (mpc_imagref (a)); inex_re = 0; inex_im = 0; } else { if (a == b) { mpfr_init2 (tmp, MPC_PREC_RE (a)); if (sign >= 0) { inex_re = mpfr_neg (tmp, mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } else { inex_re = mpfr_set (tmp, mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } mpfr_clear (mpc_realref (a)); mpc_realref (a)[0] = tmp [0]; } else if (sign >= 0) { inex_re = mpfr_neg (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_set (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } else { inex_re = mpfr_set (mpc_realref (a), mpc_imagref (b), MPC_RND_RE (rnd)); inex_im = mpfr_neg (mpc_imagref (a), mpc_realref (b), MPC_RND_IM (rnd)); } } return MPC_INEX(inex_re, inex_im); } |